रेखा (y=2x+5) की ढाल क्या है?
What is the slope of the line (y=2x+5)?
#slope
#y_intercept
#linear_polynomial
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A (2)
B (5)
C (7)
D (0)
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Explanation
Simple Explanation
(y=mx+c) में (m) ढाल होता है। यहां (m=2) है। / In (y=mx+c), (m) is the slope. Here (m=2).
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रेखा (y=3x-4) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=3x-4)?
#y_intercept
#slope_intercept_form
#linear_polynomial
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A (3)
B (-4)
C (4)
D (-3)
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Explanation
Simple Explanation
(y=mx+c) में (c) (y)-अवरोध होता है। यहां (c=-4) है। / In (y=mx+c), (c) is the (y)-intercept. Here (c=-4).
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रेखा (y=-x+7) की ढाल क्या है?
What is the slope of the line (y=-x+7)?
#slope
#negative_slope
#coefficient
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A (1)
B (7)
C (-1)
D (-7)
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Explanation
Simple Explanation
(x) का गुणांक ढाल होता है। (y=-x+7) में (x) का गुणांक (-1) है। / The coefficient of (x) is the slope. In (y=-x+7), the coefficient of (x) is (-1).
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रेखा (y=8-2x) की ढाल क्या है?
What is the slope of the line (y=8-2x)?
#slope
#rearranged_form
#negative_slope
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A (8)
B (2)
C (10)
D (-2)
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Explanation
Simple Explanation
इसे (y=-2x+8) लिखा जा सकता है। इसलिए ढाल (-2) है। / It can be written as (y=-2x+8). Therefore the slope is (-2).
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रेखा (y=x+9) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=x+9)?
#y_intercept
#value_at_zero
#linear_graph
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A (9)
B (1)
C (10)
D (0)
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Explanation
Simple Explanation
(x=0) रखने पर (y=9) मिलता है। इसलिए (y)-अवरोध (9) है। / Putting (x=0) gives (y=9). So the (y)-intercept is (9).
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रेखा (y=5x) की ढाल क्या है?
What is the slope of the line (y=5x)?
#slope
#coefficient
#linear_polynomial
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A (0)
B (5)
C (1)
D (-5)
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Explanation
Simple Explanation
(y=5x) में (x) का गुणांक (5) है। यही ढाल है। / In (y=5x), the coefficient of (x) is (5). That is the slope.
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रेखा (y=-6) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=-6)?
#y_intercept
#constant_line
#value_at_zero
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A (0)
B (6)
C (-6)
D (1)
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Explanation
Simple Explanation
(x=0) पर भी (y=-6) ही रहता है। इसलिए (y)-अवरोध (-6) है। / Even at (x=0), (y=-6). Therefore the (y)-intercept is (-6).
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रूप (y=mx+c) में (m) क्या बताता है?
In the form (y=mx+c), what does (m) represent?
#slope_intercept_form
#slope
#concept
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A (y)-अवरोध / (y)-intercept
B स्थिर पद / Constant term
C मूल / Zero
D ढाल / Slope
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Correct Answer
D. ढाल / Slope
Explanation
Simple Explanation
रूप (y=mx+c) में (m) रेखा की ढाल बताता है। परीक्षा में (x) के गुणांक को देखें। / In the form (y=mx+c), (m) represents the slope. In exams, look at the coefficient of (x).
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रूप (y=mx+c) में (c) क्या बताता है?
In the form (y=mx+c), what does (c) represent?
#slope_intercept_form
#y_intercept
#concept
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A (y)-अवरोध / (y)-intercept
B ढाल / Slope
C चर / Variable
D घात / Power
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Correct Answer
A. (y)-अवरोध / (y)-intercept
Explanation
Simple Explanation
(c) वह मान है जब (x=0) होता है। इसलिए (c) (y)-अवरोध है। / (c) is the value when (x=0). Therefore (c) is the (y)-intercept.
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ढाल (4) और (y)-अवरोध (1) वाली रेखा कौन सी है?
Which line has slope (4) and (y)-intercept (1)?
#slope
#y_intercept
#model_selection
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A (y=x+4)
B (y=4x+1)
C (y=4x-1)
D (y=1x+4)
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Correct Answer
B. (y=4x+1)
Explanation
Simple Explanation
ढाल (x) का गुणांक और (y)-अवरोध स्थिर पद होता है। इसलिए (y=4x+1) सही है। / The slope is the coefficient of (x), and the (y)-intercept is the constant term. So (y=4x+1) is correct.
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ढाल (-3) और (y)-अवरोध (2) वाली रेखा कौन सी है?
Which line has slope (-3) and (y)-intercept (2)?
#negative_slope
#y_intercept
#model_selection
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A (y=3x+2)
B (y=2x-3)
C (y=-3x+2)
D (y=-2x+3)
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Correct Answer
C. (y=-3x+2)
Explanation
Simple Explanation
ढाल (-3) के लिए (x) का गुणांक (-3) होना चाहिए। (y)-अवरोध (2) होने से सही रेखा (y=-3x+2) है। / For slope (-3), the coefficient of (x) must be (-3). With (y)-intercept (2), the correct line is (y=-3x+2).
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रेखा (y=7x+0) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=7x+0)?
#y_intercept
#origin
#constant_term
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A (7)
B (-7)
C (1)
D (0)
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Explanation
Simple Explanation
स्थिर पद (0) है। इसलिए रेखा मूल बिंदु से गुजरती है। / The constant term is (0). So the line passes through the origin.
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रेखा (y=0x+11) की ढाल क्या है?
What is the slope of the line (y=0x+11)?
#zero_slope
#horizontal_line
#coefficient
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A (0)
B (11)
C (1)
D (-11)
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Explanation
Simple Explanation
(x) का गुणांक (0) है। इसलिए रेखा की ढाल (0) है। / The coefficient of (x) is (0). Therefore the slope of the line is (0).
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रेखा (y=-5x-8) की ढाल क्या है?
What is the slope of the line (y=-5x-8)?
#slope
#negative_slope
#coefficient
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A (8)
B (-5)
C (-8)
D (5)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां (x) का गुणांक (-5) है। / The slope equals the coefficient of (x). Here the coefficient of (x) is (-5).
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रेखा (y=12+4x) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=12+4x)?
#y_intercept
#rearranged_form
#constant_term
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A (4)
B (16)
C (12)
D (8)
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Explanation
Simple Explanation
इसे (y=4x+12) लिख सकते हैं। स्थिर पद (12) है। / It can be written as (y=4x+12). The constant term is (12).
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रेखा (y=6-3x) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=6-3x)?
#y_intercept
#value_at_zero
#rearranged_form
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A (-3)
B (3)
C (9)
D (6)
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Explanation
Simple Explanation
(x=0) रखने पर (y=6) मिलता है। इसलिए (y)-अवरोध (6) है। / Putting (x=0) gives (y=6). Therefore the (y)-intercept is (6).
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रेखा (y=-2x+10) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=-2x+10), what are the slope and (y)-intercept?
#slope
#y_intercept
#identify_both
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A ढाल (-2), (y)-अवरोध (10) / Slope (-2), (y)-intercept (10)
B ढाल (10), (y)-अवरोध (-2) / Slope (10), (y)-intercept (-2)
C ढाल (2), (y)-अवरोध (10) / Slope (2), (y)-intercept (10)
D ढाल (-10), (y)-अवरोध (2) / Slope (-10), (y)-intercept (2)
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Correct Answer
A. ढाल (-2), (y)-अवरोध (10) / Slope (-2), (y)-intercept (10)
Explanation
Simple Explanation
(x) का गुणांक (-2) है और स्थिर पद (10) है। यही ढाल और (y)-अवरोध हैं। / The coefficient of (x) is (-2), and the constant term is (10). These are the slope and (y)-intercept.
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रेखा (y=9x-1) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=9x-1), what are the slope and (y)-intercept?
#slope
#y_intercept
#identify_both
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A ढाल (-1), (y)-अवरोध (9) / Slope (-1), (y)-intercept (9)
B ढाल (9), (y)-अवरोध (-1) / Slope (9), (y)-intercept (-1)
C ढाल (1), (y)-अवरोध (9) / Slope (1), (y)-intercept (9)
D ढाल (-9), (y)-अवरोध (1) / Slope (-9), (y)-intercept (1)
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Correct Answer
B. ढाल (9), (y)-अवरोध (-1) / Slope (9), (y)-intercept (-1)
Explanation
Simple Explanation
(y=mx+c) से (m=9) और (c=-1) है। इसलिए ढाल (9) और (y)-अवरोध (-1) हैं। / From (y=mx+c), (m=9) and (c=-1). So the slope is (9) and the (y)-intercept is (-1).
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रेखा \(y=\frac{1}{2}x+3\) की ढाल क्या है?
What is the slope of the line \(y=\frac{1}{2}x+3\)?
#slope
#fraction_slope
#coefficient
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A (2)
B (3)
C \(\frac{1}{2}\)
D \(\frac{3}{2}\)
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Correct Answer
C. \(\frac{1}{2}\)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक \(\frac{1}{2}\) है। / The slope equals the coefficient of (x). Here the coefficient is \(\frac{1}{2}\).
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रेखा \(y=-\frac{3}{4}x+2\) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line \(y=-\frac{3}{4}x+2\)?
#y_intercept
#fraction_slope
#constant_term
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A \(-\frac{3}{4}\)
B (2)
C \(\frac{3}{4}\)
D (0)
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Explanation
Simple Explanation
स्थिर पद (2) है। इसलिए (y)-अवरोध (2) है। / The constant term is (2). Therefore the (y)-intercept is (2).
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यदि किसी रेखा की ढाल धनात्मक है, तो (x) बढ़ने पर सामान्यतः (y) क्या होता है?
If a line has a positive slope, what generally happens to (y) as (x) increases?
#positive_slope
#graph_behavior
#slope
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A (y) घटता है / (y) decreases
B (y) बढ़ता है / (y) increases
C (y) हमेशा (0) होता है / (y) is always (0)
D (y) बदलता नहीं / (y) does not change
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Correct Answer
B. (y) बढ़ता है / (y) increases
Explanation
Simple Explanation
धनात्मक ढाल बढ़ती हुई रेखा दिखाती है। इसलिए (x) बढ़ने पर (y) बढ़ता है। / A positive slope shows an increasing line. So as (x) increases, (y) increases.
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यदि किसी रेखा की ढाल ऋणात्मक है, तो (x) बढ़ने पर सामान्यतः (y) क्या होता है?
If a line has a negative slope, what generally happens to (y) as (x) increases?
#negative_slope
#graph_behavior
#slope
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A (y) बढ़ता है / (y) increases
B (y) स्थिर रहता है / (y) stays constant
C (y) घटता है / (y) decreases
D (y) हमेशा धनात्मक रहता है / (y) always remains positive
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Correct Answer
C. (y) घटता है / (y) decreases
Explanation
Simple Explanation
ऋणात्मक ढाल घटती हुई रेखा दिखाती है। इसलिए (x) बढ़ने पर (y) घटता है। / A negative slope shows a decreasing line. So as (x) increases, (y) decreases.
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ढाल (0) वाली रेखा का सामान्य रूप कौन सा हो सकता है?
Which can be a general form of a line with slope (0)?
#zero_slope
#horizontal_line
#identify_rule
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A (y=5)
B (y=5x)
C (y=x+5)
D (y=-5x)
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Explanation
Simple Explanation
ढाल (0) होने पर (x) का गुणांक (0) होता है। (y=5) एक क्षैतिज रेखा है। / When the slope is (0), the coefficient of (x) is (0). (y=5) is a horizontal line.
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कौन सी रेखा मूल बिंदु से गुजरती है?
Which line passes through the origin?
#origin
#y_intercept
#linear_graph
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A (y=3x+2)
B (y=2x-5)
C (y=4x)
D (y=x+1)
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Explanation
Simple Explanation
मूल बिंदु से गुजरने के लिए (y)-अवरोध (0) होना चाहिए। (y=4x) में स्थिर पद (0) है। / To pass through the origin, the (y)-intercept must be (0). In (y=4x), the constant term is (0).
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रेखा (y=2x+6) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=2x+6) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#graph
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A \((6,0)\)
B \((2,6)\)
C \((0,2)\)
D \((0,6)\)
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Correct Answer
D. \((0,6)\)
Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। इसलिए बिंदु ((0,6)) है। / On the (y)-axis, (x=0). Therefore the point is ((0,6)).
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रेखा (y=-4x+3) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=-4x+3) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#negative_slope
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A \((0,3)\)
B \((3,0)\)
C \((0,-4)\)
D \((-4,3)\)
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Correct Answer
A. \((0,3)\)
Explanation
Simple Explanation
(x=0) रखने पर (y=3) मिलता है। इसलिए (y)-अक्ष पर बिंदु ((0,3)) है। / Putting (x=0) gives (y=3). So the point on the (y)-axis is ((0,3)).
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रेखा (y=10x+4) में (x) के (1) बढ़ने पर (y) कितना बढ़ता है?
In the line (y=10x+4), by how much does (y) increase when (x) increases by (1)?
#slope
#rate_of_change
#unit_increase
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A (4)
B (10)
C (14)
D (1)
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Explanation
Simple Explanation
ढाल (10) है। इसका अर्थ है कि (x) के (1) बढ़ने पर (y) (10) बढ़ता है। / The slope is (10). It means (y) increases by (10) when (x) increases by (1).
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रेखा (y=-7x+20) में (x) के (1) बढ़ने पर (y) में क्या परिवर्तन होता है?
In the line (y=-7x+20), what change occurs in (y) when (x) increases by (1)?
#negative_slope
#rate_of_change
#unit_change
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A (7) बढ़ता है / Increases by (7)
B (20) बढ़ता है / Increases by (20)
C (7) घटता है / Decreases by (7)
D (20) घटता है / Decreases by (20)
Explanation opens after your attempt
Correct Answer
C. (7) घटता है / Decreases by (7)
Explanation
Simple Explanation
ढाल (-7) है। इसलिए (x) के (1) बढ़ने पर (y) (7) घटता है। / The slope is (-7). So when (x) increases by (1), (y) decreases by (7).
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रेखा (y=4x-9) में स्थिर पद क्या है?
What is the constant term in the line (y=4x-9)?
#constant_term
#y_intercept
#slope_intercept_form
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A (4)
B (9)
C (-9)
D (-4)
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Explanation
Simple Explanation
स्थिर पद वह भाग है जिसमें (x) नहीं होता। यहां स्थिर पद (-9) है। / The constant term is the part without (x). Here the constant term is (-9).
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रेखा (y=-8x+13) में (x) का गुणांक क्या है?
What is the coefficient of (x) in the line (y=-8x+13)?
#coefficient
#slope
#negative_slope
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A (13)
B (8)
C (-13)
D (-8)
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Explanation
Simple Explanation
(x) का गुणांक (-8) है। यही रेखा की ढाल भी है। / The coefficient of (x) is (-8). This is also the slope of the line.
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कौन सी रेखा (y)-अवरोध (5) रखती है?
Which line has (y)-intercept (5)?
#y_intercept
#identify_rule
#constant_term
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A (y=5x+2)
B (y=2x+5)
C (y=-5x+2)
D (y=2x-5)
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Correct Answer
B. (y=2x+5)
Explanation
Simple Explanation
(y)-अवरोध स्थिर पद होता है। (y=2x+5) में स्थिर पद (5) है। / The (y)-intercept is the constant term. In (y=2x+5), the constant term is (5).
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कौन सी रेखा ढाल (-4) रखती है?
Which line has slope (-4)?
#slope
#identify_rule
#negative_slope
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A (y=-4x+1)
B (y=4x-1)
C (y=x-4)
D (y=-1x+4)
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Correct Answer
A. (y=-4x+1)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। (y=-4x+1) में गुणांक (-4) है। / The slope equals the coefficient of (x). In (y=-4x+1), the coefficient is (-4).
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रेखा (y=15-5x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=15-5x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (15), (y)-अवरोध (-5) / Slope (15), (y)-intercept (-5)
B ढाल (5), (y)-अवरोध (15) / Slope (5), (y)-intercept (15)
C ढाल (-5), (y)-अवरोध (15) / Slope (-5), (y)-intercept (15)
D ढाल (-15), (y)-अवरोध (5) / Slope (-15), (y)-intercept (5)
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Correct Answer
C. ढाल (-5), (y)-अवरोध (15) / Slope (-5), (y)-intercept (15)
Explanation
Simple Explanation
इसे (y=-5x+15) लिखें। इसलिए ढाल (-5) और (y)-अवरोध (15) है। / Write it as (y=-5x+15). Therefore the slope is (-5) and the (y)-intercept is (15).
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रेखा (y=2-9x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=2-9x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (-9), (y)-अवरोध (2) / Slope (-9), (y)-intercept (2)
B ढाल (2), (y)-अवरोध (-9) / Slope (2), (y)-intercept (-9)
C ढाल (9), (y)-अवरोध (2) / Slope (9), (y)-intercept (2)
D ढाल (-2), (y)-अवरोध (9) / Slope (-2), (y)-intercept (9)
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Correct Answer
A. ढाल (-9), (y)-अवरोध (2) / Slope (-9), (y)-intercept (2)
Explanation
Simple Explanation
(y=2-9x) को (y=-9x+2) लिखते हैं। इसलिए ढाल (-9) और (y)-अवरोध (2) है। / We write (y=2-9x) as (y=-9x+2). So the slope is (-9) and the (y)-intercept is (2).
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यदि रेखा (y=mx+6) का (y)-अवरोध (6) है, तो (m) क्या बताता है?
If the line (y=mx+6) has (y)-intercept (6), what does (m) represent?
#slope_intercept_form
#slope
#concept
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A ढाल / Slope
B (y)-अवरोध / (y)-intercept
C स्थिर पद / Constant term
D घात / Power
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Correct Answer
A. ढाल / Slope
Explanation
Simple Explanation
रूप (y=mx+c) में (m) हमेशा ढाल बताता है। यहां (6) (y)-अवरोध है। / In the form (y=mx+c), (m) always represents the slope. Here (6) is the (y)-intercept.
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यदि रेखा (y=4x+c) की ढाल (4) है, तो (c) क्या बताता है?
If the line (y=4x+c) has slope (4), what does (c) represent?
#y_intercept
#slope_intercept_form
#concept
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A ढाल / Slope
B घात / Power
C (y)-अवरोध / (y)-intercept
D चर / Variable
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Correct Answer
C. (y)-अवरोध / (y)-intercept
Explanation
Simple Explanation
(c) स्थिर पद है। (x=0) पर यही (y)-अवरोध बनता है। / (c) is the constant term. At (x=0), it becomes the (y)-intercept.
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रेखा (y=-x-3) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=-x-3)?
#y_intercept
#negative_constant
#constant_term
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A (1)
B (3)
C (-1)
D (-3)
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Explanation
Simple Explanation
स्थिर पद (-3) है। इसलिए (y)-अवरोध (-3) है। / The constant term is (-3). Therefore the (y)-intercept is (-3).
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रेखा (y=13x+8) की ढाल क्या है?
What is the slope of the line (y=13x+8)?
#slope
#coefficient
#linear_graph
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A (13)
B (8)
C (21)
D (5)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक (13) है। / The slope equals the coefficient of (x). Here the coefficient is (13).
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रेखा (y=4) की ढाल क्या है?
What is the slope of the line (y=4)?
#zero_slope
#horizontal_line
#slope
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A (4)
B (0)
C (1)
D (-4)
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Explanation
Simple Explanation
(y=4) एक क्षैतिज रेखा है। क्षैतिज रेखा की ढाल (0) होती है। / (y=4) is a horizontal line. The slope of a horizontal line is (0).
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यदि रेखा (y=mx+c) (y)-अक्ष को ((0,7)) पर काटती है, तो (c) क्या है?
If the line (y=mx+c) cuts the (y)-axis at ((0,7)), what is (c)?
#y_intercept
#point_on_y_axis
#slope_intercept_form
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A (0)
B (m)
C (7)
D (-7)
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Explanation
Simple Explanation
(y)-अक्ष पर बिंदु का (y)-मान (y)-अवरोध होता है। इसलिए (c=7) है। / The (y)-value of the point on the (y)-axis is the (y)-intercept. Therefore (c=7).
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यदि रेखा (y=mx+c) (y)-अक्ष को ((0,-2)) पर काटती है, तो (c) क्या है?
If the line (y=mx+c) cuts the (y)-axis at ((0,-2)), what is (c)?
#y_intercept
#negative_intercept
#point_on_y_axis
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A (2)
B (-2)
C (0)
D (m)
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Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है और (y)-मान (c) होता है। इसलिए (c=-2) है। / On the (y)-axis, (x=0), and the (y)-value is (c). Therefore (c=-2).
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ढाल (6) और (y)-अवरोध (-2) वाली रेखा कौन सी है?
Which line has slope (6) and (y)-intercept (-2)?
#slope
#y_intercept
#model_selection
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A (y=6x-2)
B (y=-2x+6)
C (y=6x+2)
D (y=2x-6)
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Correct Answer
A. (y=6x-2)
Explanation
Simple Explanation
ढाल (6) के लिए (x) का गुणांक (6) चाहिए। (y)-अवरोध (-2) से (y=6x-2) बनता है। / For slope (6), the coefficient of (x) must be (6). With (y)-intercept (-2), the line is (y=6x-2).
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ढाल (-1) और (y)-अवरोध (-5) वाली रेखा कौन सी है?
Which line has slope (-1) and (y)-intercept (-5)?
#negative_slope
#negative_intercept
#model_selection
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A (y=x-5)
B (y=-x-5)
C (y=-5x-1)
D (y=-x+5)
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Correct Answer
B. (y=-x-5)
Explanation
Simple Explanation
ढाल (-1) का अर्थ (x) का गुणांक (-1) है। (y)-अवरोध (-5) होने से (y=-x-5) सही है। / Slope (-1) means the coefficient of (x) is (-1). With (y)-intercept (-5), (y=-x-5) is correct.
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रेखा \(y=\frac{5}{3}x-4\) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line \(y=\frac{5}{3}x-4\)?
#y_intercept
#fraction_slope
#constant_term
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A \(\frac{5}{3}\)
B (4)
C (-4)
D \(-\frac{5}{3}\)
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Explanation
Simple Explanation
स्थिर पद (-4) है। इसलिए (y)-अवरोध (-4) है। / The constant term is (-4). Therefore the (y)-intercept is (-4).
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रेखा \(y=-\frac{2}{5}x+9\) की ढाल क्या है?
What is the slope of the line \(y=-\frac{2}{5}x+9\)?
#slope
#fraction_slope
#negative_slope
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A (9)
B \(-\frac{2}{5}\)
C \(\frac{2}{5}\)
D (-9)
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Correct Answer
B. \(-\frac{2}{5}\)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक \(-\frac{2}{5}\) है। / The slope equals the coefficient of (x). Here the coefficient is \(-\frac{2}{5}\).
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रेखा (y=3x+12) (y)-अक्ष को किस (y)-मान पर काटती है?
At what (y)-value does the line (y=3x+12) cut the (y)-axis?
#y_intercept
#value_at_zero
#graph
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A (3)
B (9)
C (12)
D (15)
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Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। तब (y=12) मिलता है। / On the (y)-axis, (x=0). Then (y=12).
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रेखा (y=-6x+18) की ढाल का चिन्ह कैसा है?
What is the sign of the slope of the line (y=-6x+18)?
#negative_slope
#slope_sign
#coefficient
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A धनात्मक / Positive
B शून्य / Zero
C ऋणात्मक / Negative
D निर्धारित नहीं / Cannot be determined
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Correct Answer
C. ऋणात्मक / Negative
Explanation
Simple Explanation
ढाल (-6) है। इसलिए उसका चिन्ह ऋणात्मक है। / The slope is (-6). Therefore its sign is negative.
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रेखा (y=11x-7) की ढाल का चिन्ह कैसा है?
What is the sign of the slope of the line (y=11x-7)?
#positive_slope
#slope_sign
#coefficient
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A धनात्मक / Positive
B ऋणात्मक / Negative
C शून्य / Zero
D निर्धारित नहीं / Cannot be determined
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Correct Answer
A. धनात्मक / Positive
Explanation
Simple Explanation
ढाल (11) है। इसलिए उसका चिन्ह धनात्मक है। / The slope is (11). Therefore its sign is positive.
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रेखा (y=0x-10) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=0x-10), what are the slope and (y)-intercept?
#zero_slope
#y_intercept
#identify_both
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A ढाल (0), (y)-अवरोध (-10) / Slope (0), (y)-intercept (-10)
B ढाल (-10), (y)-अवरोध (0) / Slope (-10), (y)-intercept (0)
C ढाल (10), (y)-अवरोध (0) / Slope (10), (y)-intercept (0)
D ढाल (0), (y)-अवरोध (10) / Slope (0), (y)-intercept (10)
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Correct Answer
A. ढाल (0), (y)-अवरोध (-10) / Slope (0), (y)-intercept (-10)
Explanation
Simple Explanation
(x) का गुणांक (0) है और स्थिर पद (-10) है। इसलिए ढाल (0) और (y)-अवरोध (-10) है। / The coefficient of (x) is (0), and the constant term is (-10). So the slope is (0) and the (y)-intercept is (-10).
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रेखा (y=14-2x) में (x) का गुणांक और स्थिर पद कौन से हैं?
In the line (y=14-2x), what are the coefficient of (x) and the constant term?
#coefficient
#constant_term
#rearranged_form
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A गुणांक (14), स्थिर पद (-2) / Coefficient (14), constant term (-2)
B गुणांक (2), स्थिर पद (14) / Coefficient (2), constant term (14)
C गुणांक (-2), स्थिर पद (14) / Coefficient (-2), constant term (14)
D गुणांक (-14), स्थिर पद (2) / Coefficient (-14), constant term (2)
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Correct Answer
C. गुणांक (-2), स्थिर पद (14) / Coefficient (-2), constant term (14)
Explanation
Simple Explanation
इसे (y=-2x+14) लिखते हैं। इसलिए (x) का गुणांक (-2) और स्थिर पद (14) है। / We write it as (y=-2x+14). Therefore the coefficient of (x) is (-2), and the constant term is (14).
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रेखा (y=4x+3) की ढाल क्या है?
What is the slope of the line (y=4x+3)?
#slope
#linear_equation
#coefficient
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A (4)
B (3)
C (7)
D (1)
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Explanation
Simple Explanation
(y=mx+c) में (m) ढाल होता है। यहां (m=4) है। / In (y=mx+c), (m) is the slope. Here (m=4).
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रेखा (y=5x-6) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=5x-6)?
#y_intercept
#constant_term
#linear_equation
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A (5)
B (-6)
C (6)
D (-5)
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Explanation
Simple Explanation
(y=mx+c) में (c) (y)-अवरोध होता है। यहां (c=-6) है। / In (y=mx+c), (c) is the (y)-intercept. Here (c=-6).
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रेखा (y=-3x+8) की ढाल क्या है?
What is the slope of the line (y=-3x+8)?
#slope
#negative_slope
#coefficient
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A (8)
B (3)
C (-3)
D (-8)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक (-3) है। / The slope equals the coefficient of (x). Here the coefficient is (-3).
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रेखा (y=11-4x) की ढाल क्या है?
What is the slope of the line (y=11-4x)?
#slope
#rearranged_form
#negative_slope
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A (11)
B (4)
C (15)
D (-4)
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Explanation
Simple Explanation
इसे (y=-4x+11) लिखा जा सकता है। इसलिए ढाल (-4) है। / It can be written as (y=-4x+11). Therefore the slope is (-4).
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रेखा (y=2x+9) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=2x+9)?
#y_intercept
#value_at_zero
#graph
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A (9)
B (2)
C (11)
D (0)
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Explanation
Simple Explanation
(x=0) रखने पर (y=9) मिलता है। इसलिए (y)-अवरोध (9) है। / Putting (x=0) gives (y=9). Therefore the (y)-intercept is (9).
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रेखा (y=-7x+1) की ढाल क्या है?
What is the slope of the line (y=-7x+1)?
#slope
#coefficient
#negative_slope
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A (1)
B (-7)
C (7)
D (-1)
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Explanation
Simple Explanation
(x) का गुणांक (-7) है। यही रेखा की ढाल है। / The coefficient of (x) is (-7). This is the slope of the line.
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रेखा (y=0x+14) की ढाल क्या है?
What is the slope of the line (y=0x+14)?
#zero_slope
#coefficient
#horizontal_line
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A (14)
B (1)
C (-14)
D (0)
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Explanation
Simple Explanation
(x) का गुणांक (0) है। इसलिए रेखा की ढाल (0) है। / The coefficient of (x) is (0). Therefore the slope of the line is (0).
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रूप (y=mx+c) में ढाल किससे पहचानी जाती है?
In the form (y=mx+c), how is the slope identified?
#slope_intercept_form
#slope
#concept
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A (x) के गुणांक (m) से / By the coefficient (m) of (x)
B स्थिर पद (c) से / By the constant term (c)
C (y) के मान से / By the value of (y)
D मूल से / By the zero
Explanation opens after your attempt
Correct Answer
A. (x) के गुणांक (m) से / By the coefficient (m) of (x)
Explanation
Simple Explanation
ढाल (x) के गुणांक से मिलती है। परीक्षा में (m) को सीधे पहचानें। / The slope is found from the coefficient of (x). In exams, identify (m) directly.
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रूप (y=mx+c) में (y)-अवरोध किससे पहचाना जाता है?
In the form (y=mx+c), how is the (y)-intercept identified?
#slope_intercept_form
#y_intercept
#constant_term
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A ढाल (m) से / By slope (m)
B स्थिर पद (c) से / By constant term (c)
C चर (x) से / By variable (x)
D घात से / By power
Explanation opens after your attempt
Correct Answer
B. स्थिर पद (c) से / By constant term (c)
Explanation
Simple Explanation
(y)-अवरोध स्थिर पद (c) होता है। यह (x=0) पर (y) का मान देता है। / The (y)-intercept is the constant term (c). It gives the value of (y) at (x=0).
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ढाल (5) और (y)-अवरोध (2) वाली रेखा कौन सी है?
Which line has slope (5) and (y)-intercept (2)?
#slope
#y_intercept
#model_selection
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A (y=2x+5)
B (y=5x-2)
C (y=5x+2)
D (y=-5x+2)
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Correct Answer
C. (y=5x+2)
Explanation
Simple Explanation
ढाल (5) के लिए (x) का गुणांक (5) चाहिए। (y)-अवरोध (2) होने से (y=5x+2) सही है। / For slope (5), the coefficient of (x) must be (5). With (y)-intercept (2), (y=5x+2) is correct.
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ढाल (-2) और (y)-अवरोध (4) वाली रेखा कौन सी है?
Which line has slope (-2) and (y)-intercept (4)?
#negative_slope
#y_intercept
#model_selection
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A (y=2x+4)
B (y=4x-2)
C (y=-4x+2)
D (y=-2x+4)
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Correct Answer
D. (y=-2x+4)
Explanation
Simple Explanation
ढाल (-2) और स्थिर पद (4) चाहिए। इसलिए सही समीकरण (y=-2x+4) है। / We need slope (-2) and constant term (4). Therefore the correct equation is (y=-2x+4).
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रेखा (y=9x+0) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=9x+0)?
#y_intercept
#origin
#constant_term
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A (0)
B (9)
C (-9)
D (1)
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Explanation
Simple Explanation
स्थिर पद (0) है। इसलिए रेखा मूल बिंदु से गुजरती है। / The constant term is (0). Therefore the line passes through the origin.
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रेखा (y=-10x-3) की ढाल क्या है?
What is the slope of the line (y=-10x-3)?
#slope
#negative_slope
#coefficient
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A (3)
B (-10)
C (-3)
D (10)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां (x) का गुणांक (-10) है। / The slope equals the coefficient of (x). Here the coefficient of (x) is (-10).
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रेखा (y=15+6x) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=15+6x)?
#y_intercept
#rearranged_form
#constant_term
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A (6)
B (21)
C (15)
D (9)
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Explanation
Simple Explanation
इसे (y=6x+15) लिखा जा सकता है। स्थिर पद (15) है। / It can be written as (y=6x+15). The constant term is (15).
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रेखा (y=20-5x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=20-5x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (20), (y)-अवरोध (-5) / Slope (20), (y)-intercept (-5)
B ढाल (5), (y)-अवरोध (20) / Slope (5), (y)-intercept (20)
C ढाल (-20), (y)-अवरोध (5) / Slope (-20), (y)-intercept (5)
D ढाल (-5), (y)-अवरोध (20) / Slope (-5), (y)-intercept (20)
Explanation opens after your attempt
Correct Answer
D. ढाल (-5), (y)-अवरोध (20) / Slope (-5), (y)-intercept (20)
Explanation
Simple Explanation
इसे (y=-5x+20) लिखें। इसलिए ढाल (-5) और (y)-अवरोध (20) है। / Write it as (y=-5x+20). Therefore the slope is (-5) and the (y)-intercept is (20).
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रेखा (y=3x-8) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=3x-8), what are the slope and (y)-intercept?
#slope
#y_intercept
#identify_both
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A ढाल (3), (y)-अवरोध (-8) / Slope (3), (y)-intercept (-8)
B ढाल (-8), (y)-अवरोध (3) / Slope (-8), (y)-intercept (3)
C ढाल (8), (y)-अवरोध (3) / Slope (8), (y)-intercept (3)
D ढाल (-3), (y)-अवरोध (8) / Slope (-3), (y)-intercept (8)
Explanation opens after your attempt
Correct Answer
A. ढाल (3), (y)-अवरोध (-8) / Slope (3), (y)-intercept (-8)
Explanation
Simple Explanation
(y=mx+c) से (m=3) और (c=-8) है। यही ढाल और (y)-अवरोध हैं। / From (y=mx+c), (m=3) and (c=-8). These are the slope and the (y)-intercept.
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रेखा (y=-x+12) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=-x+12), what are the slope and (y)-intercept?
#negative_slope
#y_intercept
#identify_both
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A ढाल (12), (y)-अवरोध (-1) / Slope (12), (y)-intercept (-1)
B ढाल (-1), (y)-अवरोध (12) / Slope (-1), (y)-intercept (12)
C ढाल (1), (y)-अवरोध (12) / Slope (1), (y)-intercept (12)
D ढाल (-12), (y)-अवरोध (1) / Slope (-12), (y)-intercept (1)
Explanation opens after your attempt
Correct Answer
B. ढाल (-1), (y)-अवरोध (12) / Slope (-1), (y)-intercept (12)
Explanation
Simple Explanation
(-x) का गुणांक (-1) है और स्थिर पद (12) है। इसलिए ढाल (-1) और (y)-अवरोध (12) है। / The coefficient of (-x) is (-1), and the constant term is (12). So the slope is (-1) and the (y)-intercept is (12).
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रेखा \(y=\frac{2}{3}x+5\) की ढाल क्या है?
What is the slope of the line \(y=\frac{2}{3}x+5\)?
#slope
#fraction_slope
#coefficient
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A (5)
B (3)
C \(\frac{2}{3}\)
D \(\frac{5}{3}\)
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Correct Answer
C. \(\frac{2}{3}\)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक \(\frac{2}{3}\) है। / The slope equals the coefficient of (x). Here the coefficient is \(\frac{2}{3}\).
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रेखा \(y=-\frac{5}{6}x-2\) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line \(y=-\frac{5}{6}x-2\)?
#y_intercept
#fraction_slope
#constant_term
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A \(-\frac{5}{6}\)
B (-2)
C \(\frac{5}{6}\)
D (2)
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Explanation
Simple Explanation
स्थिर पद (-2) है। इसलिए (y)-अवरोध (-2) है। / The constant term is (-2). Therefore the (y)-intercept is (-2).
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धनात्मक ढाल वाली रेखा का ग्राफ सामान्यतः कैसा दिखता है?
How does the graph of a line with positive slope generally look?
#positive_slope
#graph_behavior
#slope
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A बाएं से दाएं ऊपर जाता है / Goes upward from left to right
B बाएं से दाएं नीचे जाता है / Goes downward from left to right
C सदैव क्षैतिज होता है / Is always horizontal
D सदैव लंबवत होता है / Is always vertical
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Correct Answer
A. बाएं से दाएं ऊपर जाता है / Goes upward from left to right
Explanation
Simple Explanation
धनात्मक ढाल में (x) बढ़ने पर (y) बढ़ता है। इसलिए रेखा ऊपर की ओर जाती है। / With positive slope, (y) increases as (x) increases. So the line goes upward.
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ऋणात्मक ढाल वाली रेखा का ग्राफ सामान्यतः कैसा दिखता है?
How does the graph of a line with negative slope generally look?
#negative_slope
#graph_behavior
#slope
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A बाएं से दाएं ऊपर जाता है / Goes upward from left to right
B बाएं से दाएं नीचे जाता है / Goes downward from left to right
C सदैव ऊपर वक्र होता है / Is always an upward curve
D सदैव मूल से गुजरता है / Always passes through origin
Explanation opens after your attempt
Correct Answer
B. बाएं से दाएं नीचे जाता है / Goes downward from left to right
Explanation
Simple Explanation
ऋणात्मक ढाल में (x) बढ़ने पर (y) घटता है। इसलिए रेखा नीचे की ओर जाती है। / With negative slope, (y) decreases as (x) increases. So the line goes downward.
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ढाल (0) वाली रेखा कौन सी हो सकती है?
Which line can have slope (0)?
#zero_slope
#horizontal_line
#identify_rule
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A (y=2x+1)
B (y=-3x+5)
C (y=7)
D (y=x-7)
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Explanation
Simple Explanation
ढाल (0) होने पर (y) स्थिर रहता है। (y=7) एक क्षैतिज रेखा है। / When the slope is (0), (y) remains constant. (y=7) is a horizontal line.
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कौन सी रेखा मूल बिंदु ((0,0)) से गुजरती है?
Which line passes through the origin ((0,0))?
#origin
#y_intercept
#linear_graph
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A (y=5x+1)
B (y=-2x+3)
C (y=x-4)
D (y=6x)
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Explanation
Simple Explanation
मूल बिंदु से गुजरने के लिए (y)-अवरोध (0) होना चाहिए। (y=6x) में स्थिर पद (0) है। / To pass through the origin, the (y)-intercept must be (0). In (y=6x), the constant term is (0).
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रेखा (y=4x+10) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=4x+10) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#graph
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A ( (0,10) )
B ( (10,0) )
C ( (0,4) )
D ( (4,10) )
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Correct Answer
A. ( (0,10) )
Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। इसलिए बिंदु ( (0,10) ) है। / On the (y)-axis, (x=0). Therefore the point is ( (0,10) ).
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रेखा (y=-5x+7) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=-5x+7) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#negative_slope
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A ( (7,0) )
B ( (0,7) )
C ( (0,-5) )
D ( (-5,7) )
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Correct Answer
B. ( (0,7) )
Explanation
Simple Explanation
(x=0) रखने पर (y=7) मिलता है। इसलिए (y)-अक्ष पर बिंदु ( (0,7) ) है। / Putting (x=0) gives (y=7). So the point on the (y)-axis is ( (0,7) ).
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रेखा (y=8x+6) में (x) के (1) बढ़ने पर (y) कितना बढ़ता है?
In the line (y=8x+6), by how much does (y) increase when (x) increases by (1)?
#slope
#rate_of_change
#unit_increase
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A (6)
B (14)
C (8)
D (1)
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Explanation
Simple Explanation
ढाल (8) है। इसका अर्थ है कि (x) के (1) बढ़ने पर (y) (8) बढ़ता है। / The slope is (8). It means (y) increases by (8) when (x) increases by (1).
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रेखा (y=-6x+13) में (x) के (1) बढ़ने पर (y) में क्या परिवर्तन होता है?
In the line (y=-6x+13), what change occurs in (y) when (x) increases by (1)?
#negative_slope
#rate_of_change
#unit_change
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A (6) बढ़ता है / Increases by (6)
B (13) बढ़ता है / Increases by (13)
C (13) घटता है / Decreases by (13)
D (6) घटता है / Decreases by (6)
Explanation opens after your attempt
Correct Answer
D. (6) घटता है / Decreases by (6)
Explanation
Simple Explanation
ढाल (-6) है। इसलिए (x) के (1) बढ़ने पर (y) (6) घटता है। / The slope is (-6). So when (x) increases by (1), (y) decreases by (6).
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रेखा (y=7x-11) में स्थिर पद क्या है?
What is the constant term in the line (y=7x-11)?
#constant_term
#y_intercept
#slope_intercept_form
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A (7)
B (11)
C (-11)
D (-7)
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Explanation
Simple Explanation
स्थिर पद वह भाग है जिसमें (x) नहीं होता। यहां स्थिर पद (-11) है। / The constant term is the part without (x). Here the constant term is (-11).
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रेखा (y=-9x+16) में (x) का गुणांक क्या है?
What is the coefficient of (x) in the line (y=-9x+16)?
#coefficient
#slope
#negative_slope
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A (16)
B (9)
C (-16)
D (-9)
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Explanation
Simple Explanation
(x) का गुणांक (-9) है। यही रेखा की ढाल भी है। / The coefficient of (x) is (-9). This is also the slope of the line.
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कौन सी रेखा (y)-अवरोध (-3) रखती है?
Which line has (y)-intercept (-3)?
#y_intercept
#identify_rule
#constant_term
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A (y=3x+2)
B (y=2x-3)
C (y=-3x+2)
D (y=2x+3)
Explanation opens after your attempt
Correct Answer
B. (y=2x-3)
Explanation
Simple Explanation
(y)-अवरोध स्थिर पद होता है। (y=2x-3) में स्थिर पद (-3) है। / The (y)-intercept is the constant term. In (y=2x-3), the constant term is (-3).
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कौन सी रेखा ढाल (6) रखती है?
Which line has slope (6)?
#slope
#identify_rule
#positive_slope
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A (y=-6x+1)
B (y=x+6)
C (y=6x-4)
D (y=4x+6)
Explanation opens after your attempt
Correct Answer
C. (y=6x-4)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। (y=6x-4) में गुणांक (6) है। / The slope equals the coefficient of (x). In (y=6x-4), the coefficient is (6).
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रेखा (y=18-7x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=18-7x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (18), (y)-अवरोध (-7) / Slope (18), (y)-intercept (-7)
B ढाल (7), (y)-अवरोध (18) / Slope (7), (y)-intercept (18)
C ढाल (-18), (y)-अवरोध (7) / Slope (-18), (y)-intercept (7)
D ढाल (-7), (y)-अवरोध (18) / Slope (-7), (y)-intercept (18)
Explanation opens after your attempt
Correct Answer
D. ढाल (-7), (y)-अवरोध (18) / Slope (-7), (y)-intercept (18)
Explanation
Simple Explanation
इसे (y=-7x+18) लिखते हैं। इसलिए ढाल (-7) और (y)-अवरोध (18) है। / We write it as (y=-7x+18). Therefore the slope is (-7) and the (y)-intercept is (18).
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रेखा (y=5-8x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=5-8x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (-8), (y)-अवरोध (5) / Slope (-8), (y)-intercept (5)
B ढाल (5), (y)-अवरोध (-8) / Slope (5), (y)-intercept (-8)
C ढाल (8), (y)-अवरोध (5) / Slope (8), (y)-intercept (5)
D ढाल (-5), (y)-अवरोध (8) / Slope (-5), (y)-intercept (8)
Explanation opens after your attempt
Correct Answer
A. ढाल (-8), (y)-अवरोध (5) / Slope (-8), (y)-intercept (5)
Explanation
Simple Explanation
(y=5-8x) को (y=-8x+5) लिखते हैं। इसलिए ढाल (-8) और (y)-अवरोध (5) है। / We write (y=5-8x) as (y=-8x+5). So the slope is (-8) and the (y)-intercept is (5).
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यदि रेखा (y=mx-4) है, तो (m) क्या बताता है?
If the line is (y=mx-4), what does (m) represent?
#slope_intercept_form
#slope
#concept
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A ढाल / Slope
B (y)-अवरोध / (y)-intercept
C स्थिर पद / Constant term
D घात / Power
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Correct Answer
A. ढाल / Slope
Explanation
Simple Explanation
रूप (y=mx+c) में (m) ढाल बताता है। यहां (-4) (y)-अवरोध है। / In the form (y=mx+c), (m) represents the slope. Here (-4) is the (y)-intercept.
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यदि रेखा (y=-3x+c) की ढाल (-3) है, तो (c) क्या बताता है?
If the line (y=-3x+c) has slope (-3), what does (c) represent?
#y_intercept
#slope_intercept_form
#concept
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A ढाल / Slope
B घात / Power
C (y)-अवरोध / (y)-intercept
D चर / Variable
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Correct Answer
C. (y)-अवरोध / (y)-intercept
Explanation
Simple Explanation
(c) स्थिर पद है। (x=0) पर यही (y)-अवरोध बनता है। / (c) is the constant term. At (x=0), it becomes the (y)-intercept.
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रेखा (y=-x-9) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=-x-9)?
#y_intercept
#negative_constant
#constant_term
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A (1)
B (9)
C (-1)
D (-9)
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Explanation
Simple Explanation
स्थिर पद (-9) है। इसलिए (y)-अवरोध (-9) है। / The constant term is (-9). Therefore the (y)-intercept is (-9).
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रेखा (y=15x+2) की ढाल क्या है?
What is the slope of the line (y=15x+2)?
#slope
#coefficient
#linear_graph
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A (15)
B (2)
C (17)
D (13)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक (15) है। / The slope equals the coefficient of (x). Here the coefficient is (15).
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रेखा (y=-12) की ढाल क्या है?
What is the slope of the line (y=-12)?
#zero_slope
#horizontal_line
#slope
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A (12)
B (0)
C (1)
D (-12)
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Explanation
Simple Explanation
(y=-12) एक क्षैतिज रेखा है। क्षैतिज रेखा की ढाल (0) होती है। / (y=-12) is a horizontal line. The slope of a horizontal line is (0).
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यदि रेखा (y=mx+c) (y)-अक्ष को ((0,4)) पर काटती है, तो (c) क्या है?
If the line (y=mx+c) cuts the (y)-axis at ((0,4)), what is (c)?
#y_intercept
#point_on_y_axis
#slope_intercept_form
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A (0)
B (m)
C (4)
D (-4)
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Explanation
Simple Explanation
(y)-अक्ष पर बिंदु का (y)-मान (y)-अवरोध होता है। इसलिए (c=4) है। / The (y)-value of the point on the (y)-axis is the (y)-intercept. Therefore (c=4).
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ढाल (7) और (y)-अवरोध (-1) वाली रेखा कौन सी है?
Which line has slope (7) and (y)-intercept (-1)?
#slope
#y_intercept
#model_selection
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A (y=7x-1)
B (y=-1x+7)
C (y=7x+1)
D (y=x-7)
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Correct Answer
A. (y=7x-1)
Explanation
Simple Explanation
ढाल (7) के लिए (x) का गुणांक (7) चाहिए। (y)-अवरोध (-1) से (y=7x-1) बनता है। / For slope (7), the coefficient of (x) must be (7). With (y)-intercept (-1), the line is (y=7x-1).
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ढाल (-4) और (y)-अवरोध (-6) वाली रेखा कौन सी है?
Which line has slope (-4) and (y)-intercept (-6)?
#negative_slope
#negative_intercept
#model_selection
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A (y=4x-6)
B (y=-4x-6)
C (y=-6x-4)
D (y=-4x+6)
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Correct Answer
B. (y=-4x-6)
Explanation
Simple Explanation
ढाल (-4) का अर्थ (x) का गुणांक (-4) है। (y)-अवरोध (-6) होने से (y=-4x-6) सही है। / Slope (-4) means the coefficient of (x) is (-4). With (y)-intercept (-6), (y=-4x-6) is correct.
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रेखा \(y=\frac{7}{2}x+1\) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line \(y=\frac{7}{2}x+1\)?
#y_intercept
#fraction_slope
#constant_term
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A \(\frac{7}{2}\)
B (2)
C (1)
D (-1)
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Explanation
Simple Explanation
स्थिर पद (1) है। इसलिए (y)-अवरोध (1) है। / The constant term is (1). Therefore the (y)-intercept is (1).
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रेखा \(y=-\frac{4}{7}x+6\) की ढाल क्या है?
What is the slope of the line \(y=-\frac{4}{7}x+6\)?
#slope
#fraction_slope
#negative_slope
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A (6)
B \(-\frac{4}{7}\)
C \(\frac{4}{7}\)
D (-6)
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Correct Answer
B. \(-\frac{4}{7}\)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक \(-\frac{4}{7}\) है। / The slope equals the coefficient of (x). Here the coefficient is \(-\frac{4}{7}\).
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रेखा (y=6x+18) (y)-अक्ष को किस (y)-मान पर काटती है?
At what (y)-value does the line (y=6x+18) cut the (y)-axis?
#y_intercept
#value_at_zero
#graph
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A (6)
B (12)
C (18)
D (24)
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Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। तब (y=18) मिलता है। / On the (y)-axis, (x=0). Then (y=18).
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रेखा (y=-8x+25) की ढाल का चिन्ह कैसा है?
What is the sign of the slope of the line (y=-8x+25)?
#negative_slope
#slope_sign
#coefficient
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A धनात्मक / Positive
B शून्य / Zero
C ऋणात्मक / Negative
D निर्धारित नहीं / Cannot be determined
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Correct Answer
C. ऋणात्मक / Negative
Explanation
Simple Explanation
ढाल (-8) है। इसलिए उसका चिन्ह ऋणात्मक है। / The slope is (-8). Therefore its sign is negative.
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रेखा (y=12x-5) की ढाल का चिन्ह कैसा है?
What is the sign of the slope of the line (y=12x-5)?
#positive_slope
#slope_sign
#coefficient
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A धनात्मक / Positive
B ऋणात्मक / Negative
C शून्य / Zero
D निर्धारित नहीं / Cannot be determined
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Correct Answer
A. धनात्मक / Positive
Explanation
Simple Explanation
ढाल (12) है। इसलिए उसका चिन्ह धनात्मक है। / The slope is (12). Therefore its sign is positive.
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रेखा (y=0x+3) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=0x+3), what are the slope and (y)-intercept?
#zero_slope
#y_intercept
#identify_both
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A ढाल (0), (y)-अवरोध (3) / Slope (0), (y)-intercept (3)
B ढाल (3), (y)-अवरोध (0) / Slope (3), (y)-intercept (0)
C ढाल (-3), (y)-अवरोध (0) / Slope (-3), (y)-intercept (0)
D ढाल (0), (y)-अवरोध (-3) / Slope (0), (y)-intercept (-3)
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Correct Answer
A. ढाल (0), (y)-अवरोध (3) / Slope (0), (y)-intercept (3)
Explanation
Simple Explanation
(x) का गुणांक (0) है और स्थिर पद (3) है। इसलिए ढाल (0) और (y)-अवरोध (3) है। / The coefficient of (x) is (0), and the constant term is (3). So the slope is (0) and the (y)-intercept is (3).
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रेखा (y=17-6x) में (x) का गुणांक और स्थिर पद कौन से हैं?
In the line (y=17-6x), what are the coefficient of (x) and the constant term?
#coefficient
#constant_term
#rearranged_form
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A गुणांक (17), स्थिर पद (-6) / Coefficient (17), constant term (-6)
B गुणांक (6), स्थिर पद (17) / Coefficient (6), constant term (17)
C गुणांक (-6), स्थिर पद (17) / Coefficient (-6), constant term (17)
D गुणांक (-17), स्थिर पद (6) / Coefficient (-17), constant term (6)
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Correct Answer
C. गुणांक (-6), स्थिर पद (17) / Coefficient (-6), constant term (17)
Explanation
Simple Explanation
इसे (y=-6x+17) लिखते हैं। इसलिए (x) का गुणांक (-6) और स्थिर पद (17) है। / We write it as (y=-6x+17). Therefore the coefficient of (x) is (-6), and the constant term is (17).
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रेखा (y=9-3x) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=9-3x) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#rearranged_form
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A ( (0,9) )
B ( (9,0) )
C ( (0,-3) )
D ( (-3,9) )
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Correct Answer
A. ( (0,9) )
Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। इसलिए बिंदु ( (0,9) ) है। / On the (y)-axis, (x=0). Therefore the point is ( (0,9) ).
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रेखा (y=-11x+4) में (x) के (1) बढ़ने पर (y) में क्या परिवर्तन होता है?
In the line (y=-11x+4), what change occurs in (y) when (x) increases by (1)?
#negative_slope
#rate_of_change
#unit_change
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A (11) बढ़ता है / Increases by (11)
B (4) बढ़ता है / Increases by (4)
C (4) घटता है / Decreases by (4)
D (11) घटता है / Decreases by (11)
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Correct Answer
D. (11) घटता है / Decreases by (11)
Explanation
Simple Explanation
ढाल (-11) है। इसलिए (x) के (1) बढ़ने पर (y) (11) घटता है। / The slope is (-11). So when (x) increases by (1), (y) decreases by (11).
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रेखा (y=6x+2) की ढाल क्या है?
What is the slope of the line (y=6x+2)?
#slope
#coefficient
#linear_equation
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A (6)
B (2)
C (8)
D (0)
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Explanation
Simple Explanation
(y=mx+c) में (m) ढाल होता है। यहां (m=6) है। / In (y=mx+c), (m) is the slope. Here (m=6).
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रेखा (y=7x-5) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=7x-5)?
#y_intercept
#constant_term
#linear_equation
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A (7)
B (-5)
C (5)
D (-7)
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Explanation
Simple Explanation
(y=mx+c) में (c) (y)-अवरोध होता है। यहां (c=-5) है। / In (y=mx+c), (c) is the (y)-intercept. Here (c=-5).
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रेखा (y=-4x+9) की ढाल क्या है?
What is the slope of the line (y=-4x+9)?
#slope
#negative_slope
#coefficient
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A (9)
B (4)
C (-4)
D (-9)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक (-4) है। / The slope equals the coefficient of (x). Here the coefficient is (-4).
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रेखा (y=13-5x) की ढाल क्या है?
What is the slope of the line (y=13-5x)?
#slope
#rearranged_form
#negative_slope
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A (13)
B (5)
C (18)
D (-5)
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Explanation
Simple Explanation
इसे (y=-5x+13) लिखा जा सकता है। इसलिए ढाल (-5) है। / It can be written as (y=-5x+13). Therefore the slope is (-5).
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रेखा (y=3x+11) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=3x+11)?
#y_intercept
#value_at_zero
#graph
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A (11)
B (3)
C (14)
D (0)
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Explanation
Simple Explanation
(x=0) रखने पर (y=11) मिलता है। इसलिए (y)-अवरोध (11) है। / Putting (x=0) gives (y=11). Therefore the (y)-intercept is (11).
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रेखा (y=-9x+4) की ढाल क्या है?
What is the slope of the line (y=-9x+4)?
#slope
#coefficient
#negative_slope
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A (4)
B (-9)
C (9)
D (-4)
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Explanation
Simple Explanation
(x) का गुणांक (-9) है। यही रेखा की ढाल है। / The coefficient of (x) is (-9). This is the slope of the line.
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रेखा (y=8) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=8)?
#y_intercept
#constant_line
#horizontal_line
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A (0)
B (-8)
C (8)
D (1)
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Explanation
Simple Explanation
(y=8) में (x=0) पर भी (y=8) रहता है। इसलिए (y)-अवरोध (8) है। / In (y=8), even at (x=0), (y=8). Therefore the (y)-intercept is (8).
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रेखा (y=0x+17) की ढाल क्या है?
What is the slope of the line (y=0x+17)?
#zero_slope
#coefficient
#horizontal_line
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A (17)
B (1)
C (-17)
D (0)
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Explanation
Simple Explanation
(x) का गुणांक (0) है। इसलिए रेखा की ढाल (0) है। / The coefficient of (x) is (0). Therefore the slope of the line is (0).
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ढाल (8) और (y)-अवरोध (3) वाली रेखा कौन सी है?
Which line has slope (8) and (y)-intercept (3)?
#slope
#y_intercept
#model_selection
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A (y=3x+8)
B (y=8x-3)
C (y=8x+3)
D (y=-8x+3)
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Correct Answer
C. (y=8x+3)
Explanation
Simple Explanation
ढाल (8) के लिए (x) का गुणांक (8) चाहिए। (y)-अवरोध (3) होने से (y=8x+3) सही है। / For slope (8), the coefficient of (x) must be (8). With (y)-intercept (3), (y=8x+3) is correct.
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ढाल (-5) और (y)-अवरोध (6) वाली रेखा कौन सी है?
Which line has slope (-5) and (y)-intercept (6)?
#negative_slope
#y_intercept
#model_selection
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A (y=5x+6)
B (y=6x-5)
C (y=-6x+5)
D (y=-5x+6)
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Correct Answer
D. (y=-5x+6)
Explanation
Simple Explanation
ढाल (-5) और स्थिर पद (6) चाहिए। इसलिए सही रेखा (y=-5x+6) है। / We need slope (-5) and constant term (6). Therefore the correct line is (y=-5x+6).
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रेखा (y=12x+0) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=12x+0)?
#y_intercept
#origin
#constant_term
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A (0)
B (12)
C (-12)
D (1)
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Explanation
Simple Explanation
स्थिर पद (0) है। इसलिए रेखा मूल बिंदु से गुजरती है। / The constant term is (0). Therefore the line passes through the origin.
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रेखा (y=-11x-2) की ढाल क्या है?
What is the slope of the line (y=-11x-2)?
#slope
#negative_slope
#coefficient
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A (2)
B (-11)
C (-2)
D (11)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां (x) का गुणांक (-11) है। / The slope equals the coefficient of (x). Here the coefficient of (x) is (-11).
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रेखा (y=19+7x) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=19+7x)?
#y_intercept
#rearranged_form
#constant_term
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A (7)
B (26)
C (19)
D (12)
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Explanation
Simple Explanation
इसे (y=7x+19) लिखा जा सकता है। स्थिर पद (19) है। / It can be written as (y=7x+19). The constant term is (19).
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रेखा (y=24-6x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=24-6x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (24), (y)-अवरोध (-6) / Slope (24), (y)-intercept (-6)
B ढाल (6), (y)-अवरोध (24) / Slope (6), (y)-intercept (24)
C ढाल (-24), (y)-अवरोध (6) / Slope (-24), (y)-intercept (6)
D ढाल (-6), (y)-अवरोध (24) / Slope (-6), (y)-intercept (24)
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Correct Answer
D. ढाल (-6), (y)-अवरोध (24) / Slope (-6), (y)-intercept (24)
Explanation
Simple Explanation
इसे (y=-6x+24) लिखें। इसलिए ढाल (-6) और (y)-अवरोध (24) है। / Write it as (y=-6x+24). Therefore the slope is (-6) and the (y)-intercept is (24).
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रेखा (y=4x-10) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=4x-10), what are the slope and (y)-intercept?
#slope
#y_intercept
#identify_both
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A ढाल (4), (y)-अवरोध (-10) / Slope (4), (y)-intercept (-10)
B ढाल (-10), (y)-अवरोध (4) / Slope (-10), (y)-intercept (4)
C ढाल (10), (y)-अवरोध (4) / Slope (10), (y)-intercept (4)
D ढाल (-4), (y)-अवरोध (10) / Slope (-4), (y)-intercept (10)
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Correct Answer
A. ढाल (4), (y)-अवरोध (-10) / Slope (4), (y)-intercept (-10)
Explanation
Simple Explanation
(y=mx+c) से (m=4) और (c=-10) है। यही ढाल और (y)-अवरोध हैं। / From (y=mx+c), (m=4) and (c=-10). These are the slope and the (y)-intercept.
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रेखा (y=-x+15) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=-x+15), what are the slope and (y)-intercept?
#negative_slope
#y_intercept
#identify_both
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A ढाल (15), (y)-अवरोध (-1) / Slope (15), (y)-intercept (-1)
B ढाल (-1), (y)-अवरोध (15) / Slope (-1), (y)-intercept (15)
C ढाल (1), (y)-अवरोध (15) / Slope (1), (y)-intercept (15)
D ढाल (-15), (y)-अवरोध (1) / Slope (-15), (y)-intercept (1)
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Correct Answer
B. ढाल (-1), (y)-अवरोध (15) / Slope (-1), (y)-intercept (15)
Explanation
Simple Explanation
(-x) का गुणांक (-1) है और स्थिर पद (15) है। इसलिए ढाल (-1) और (y)-अवरोध (15) है। / The coefficient of (-x) is (-1), and the constant term is (15). So the slope is (-1) and the (y)-intercept is (15).
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रेखा \(y=\frac{3}{5}x+7\) की ढाल क्या है?
What is the slope of the line \(y=\frac{3}{5}x+7\)?
#slope
#fraction_slope
#coefficient
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A (7)
B (5)
C \(\frac{3}{5}\)
D \(\frac{7}{5}\)
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Correct Answer
C. \(\frac{3}{5}\)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक \(\frac{3}{5}\) है। / The slope equals the coefficient of (x). Here the coefficient is \(\frac{3}{5}\).
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रेखा \(y=-\frac{7}{8}x-4\) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line \(y=-\frac{7}{8}x-4\)?
#y_intercept
#fraction_slope
#constant_term
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A \(-\frac{7}{8}\)
B (-4)
C \(\frac{7}{8}\)
D (4)
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Explanation
Simple Explanation
स्थिर पद (-4) है। इसलिए (y)-अवरोध (-4) है। / The constant term is (-4). Therefore the (y)-intercept is (-4).
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धनात्मक ढाल वाली रेखा में (x) बढ़ने पर (y) सामान्यतः क्या करता है?
In a line with positive slope, what does (y) generally do when (x) increases?
#positive_slope
#graph_behavior
#slope
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A बढ़ता है / Increases
B घटता है / Decreases
C सदैव (0) रहता है / Always remains (0)
D घात बन जाता है / Becomes a power
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Correct Answer
A. बढ़ता है / Increases
Explanation
Simple Explanation
धनात्मक ढाल में (x) बढ़ने पर (y) बढ़ता है। यह बढ़ती हुई रेखा दिखाता है। / With positive slope, (y) increases as (x) increases. It shows an increasing line.
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ऋणात्मक ढाल वाली रेखा में (x) बढ़ने पर (y) सामान्यतः क्या करता है?
In a line with negative slope, what does (y) generally do when (x) increases?
#negative_slope
#graph_behavior
#slope
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A बढ़ता है / Increases
B घटता है / Decreases
C सदैव समान रहता है / Always remains same
D सदैव धनात्मक रहता है / Always remains positive
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Correct Answer
B. घटता है / Decreases
Explanation
Simple Explanation
ऋणात्मक ढाल में (x) बढ़ने पर (y) घटता है। यह घटती हुई रेखा दिखाता है। / With negative slope, (y) decreases as (x) increases. It shows a decreasing line.
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रेखा (y=5x+12) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=5x+12) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#graph
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A ( (0,12) )
B ( (12,0) )
C ( (0,5) )
D ( (5,12) )
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Correct Answer
A. ( (0,12) )
Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। इसलिए बिंदु ( (0,12) ) है। / On the (y)-axis, (x=0). Therefore the point is ( (0,12) ).
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रेखा (y=-7x+10) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=-7x+10) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#negative_slope
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A ( (10,0) )
B ( (0,10) )
C ( (0,-7) )
D ( (-7,10) )
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Correct Answer
B. ( (0,10) )
Explanation
Simple Explanation
(x=0) रखने पर (y=10) मिलता है। इसलिए (y)-अक्ष पर बिंदु ( (0,10) ) है। / Putting (x=0) gives (y=10). So the point on the (y)-axis is ( (0,10) ).
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रेखा (y=9x+8) में (x) के (1) बढ़ने पर (y) कितना बढ़ता है?
In the line (y=9x+8), by how much does (y) increase when (x) increases by (1)?
#slope
#rate_of_change
#unit_increase
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A (8)
B (17)
C (9)
D (1)
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Explanation
Simple Explanation
ढाल (9) है। इसका अर्थ है कि (x) के (1) बढ़ने पर (y) (9) बढ़ता है। / The slope is (9). It means (y) increases by (9) when (x) increases by (1).
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रेखा (y=-8x+21) में (x) के (1) बढ़ने पर (y) में क्या परिवर्तन होता है?
In the line (y=-8x+21), what change occurs in (y) when (x) increases by (1)?
#negative_slope
#rate_of_change
#unit_change
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A (8) बढ़ता है / Increases by (8)
B (21) बढ़ता है / Increases by (21)
C (21) घटता है / Decreases by (21)
D (8) घटता है / Decreases by (8)
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Correct Answer
D. (8) घटता है / Decreases by (8)
Explanation
Simple Explanation
ढाल (-8) है। इसलिए (x) के (1) बढ़ने पर (y) (8) घटता है। / The slope is (-8). So when (x) increases by (1), (y) decreases by (8).
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रेखा (y=10x-13) में स्थिर पद क्या है?
What is the constant term in the line (y=10x-13)?
#constant_term
#y_intercept
#slope_intercept_form
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A (10)
B (13)
C (-13)
D (-10)
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Explanation
Simple Explanation
स्थिर पद वह भाग है जिसमें (x) नहीं होता। यहां स्थिर पद (-13) है। / The constant term is the part without (x). Here the constant term is (-13).
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रेखा (y=-12x+18) में (x) का गुणांक क्या है?
What is the coefficient of (x) in the line (y=-12x+18)?
#coefficient
#slope
#negative_slope
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A (18)
B (12)
C (-18)
D (-12)
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Explanation
Simple Explanation
(x) का गुणांक (-12) है। यही रेखा की ढाल भी है। / The coefficient of (x) is (-12). This is also the slope of the line.
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कौन सी रेखा (y)-अवरोध (-4) रखती है?
Which line has (y)-intercept (-4)?
#y_intercept
#identify_rule
#constant_term
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A (y=4x+3)
B (y=3x-4)
C (y=-4x+3)
D (y=3x+4)
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Correct Answer
B. (y=3x-4)
Explanation
Simple Explanation
(y)-अवरोध स्थिर पद होता है। (y=3x-4) में स्थिर पद (-4) है। / The (y)-intercept is the constant term. In (y=3x-4), the constant term is (-4).
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कौन सी रेखा ढाल (7) रखती है?
Which line has slope (7)?
#slope
#identify_rule
#positive_slope
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A (y=-7x+2)
B (y=x+7)
C (y=7x-6)
D (y=6x+7)
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Correct Answer
C. (y=7x-6)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। (y=7x-6) में गुणांक (7) है। / The slope equals the coefficient of (x). In (y=7x-6), the coefficient is (7).
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रेखा (y=22-9x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=22-9x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (22), (y)-अवरोध (-9) / Slope (22), (y)-intercept (-9)
B ढाल (9), (y)-अवरोध (22) / Slope (9), (y)-intercept (22)
C ढाल (-22), (y)-अवरोध (9) / Slope (-22), (y)-intercept (9)
D ढाल (-9), (y)-अवरोध (22) / Slope (-9), (y)-intercept (22)
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Correct Answer
D. ढाल (-9), (y)-अवरोध (22) / Slope (-9), (y)-intercept (22)
Explanation
Simple Explanation
इसे (y=-9x+22) लिखते हैं। इसलिए ढाल (-9) और (y)-अवरोध (22) है। / We write it as (y=-9x+22). Therefore the slope is (-9) and the (y)-intercept is (22).
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रेखा (y=7-10x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=7-10x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (-10), (y)-अवरोध (7) / Slope (-10), (y)-intercept (7)
B ढाल (7), (y)-अवरोध (-10) / Slope (7), (y)-intercept (-10)
C ढाल (10), (y)-अवरोध (7) / Slope (10), (y)-intercept (7)
D ढाल (-7), (y)-अवरोध (10) / Slope (-7), (y)-intercept (10)
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Correct Answer
A. ढाल (-10), (y)-अवरोध (7) / Slope (-10), (y)-intercept (7)
Explanation
Simple Explanation
(y=7-10x) को (y=-10x+7) लिखते हैं। इसलिए ढाल (-10) और (y)-अवरोध (7) है। / We write (y=7-10x) as (y=-10x+7). So the slope is (-10) and the (y)-intercept is (7).
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यदि रेखा (y=mx-8) है, तो (m) क्या बताता है?
If the line is (y=mx-8), what does (m) represent?
#slope_intercept_form
#slope
#concept
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A ढाल / Slope
B (y)-अवरोध / (y)-intercept
C स्थिर पद / Constant term
D घात / Power
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Correct Answer
A. ढाल / Slope
Explanation
Simple Explanation
रूप (y=mx+c) में (m) ढाल बताता है। यहां (-8) (y)-अवरोध है। / In the form (y=mx+c), (m) represents the slope. Here (-8) is the (y)-intercept.
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रेखा (y=-x-12) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=-x-12)?
#y_intercept
#negative_constant
#constant_term
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A (1)
B (12)
C (-1)
D (-12)
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Explanation
Simple Explanation
स्थिर पद (-12) है। इसलिए (y)-अवरोध (-12) है। / The constant term is (-12). Therefore the (y)-intercept is (-12).
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रेखा (y=16x+5) की ढाल क्या है?
What is the slope of the line (y=16x+5)?
#slope
#coefficient
#linear_graph
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A (16)
B (5)
C (21)
D (11)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक (16) है। / The slope equals the coefficient of (x). Here the coefficient is (16).
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रेखा (y=-15) की ढाल क्या है?
What is the slope of the line (y=-15)?
#zero_slope
#horizontal_line
#slope
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A (15)
B (0)
C (1)
D (-15)
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Explanation
Simple Explanation
(y=-15) एक क्षैतिज रेखा है। क्षैतिज रेखा की ढाल (0) होती है। / (y=-15) is a horizontal line. The slope of a horizontal line is (0).
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यदि रेखा (y=mx+c) (y)-अक्ष को ( (0,6) ) पर काटती है, तो (c) क्या है?
If the line (y=mx+c) cuts the (y)-axis at ( (0,6) ), what is (c)?
#y_intercept
#point_on_y_axis
#slope_intercept_form
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A (0)
B (m)
C (6)
D (-6)
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Explanation
Simple Explanation
(y)-अक्ष पर बिंदु का (y)-मान (y)-अवरोध होता है। इसलिए (c=6) है। / The (y)-value of the point on the (y)-axis is the (y)-intercept. Therefore (c=6).
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यदि रेखा (y=mx+c) (y)-अक्ष को ( (0,-9) ) पर काटती है, तो (c) क्या है?
If the line (y=mx+c) cuts the (y)-axis at ( (0,-9) ), what is (c)?
#y_intercept
#negative_intercept
#point_on_y_axis
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A (9)
B (-9)
C (0)
D (m)
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Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है और (y)-मान (c) होता है। इसलिए (c=-9) है। / On the (y)-axis, (x=0), and the (y)-value is (c). Therefore (c=-9).
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ढाल (9) और (y)-अवरोध (-2) वाली रेखा कौन सी है?
Which line has slope (9) and (y)-intercept (-2)?
#slope
#y_intercept
#model_selection
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A (y=9x-2)
B (y=-2x+9)
C (y=9x+2)
D (y=x-9)
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Correct Answer
A. (y=9x-2)
Explanation
Simple Explanation
ढाल (9) के लिए (x) का गुणांक (9) चाहिए। (y)-अवरोध (-2) से (y=9x-2) बनता है। / For slope (9), the coefficient of (x) must be (9). With (y)-intercept (-2), the line is (y=9x-2).
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ढाल (-6) और (y)-अवरोध (-8) वाली रेखा कौन सी है?
Which line has slope (-6) and (y)-intercept (-8)?
#negative_slope
#negative_intercept
#model_selection
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A (y=6x-8)
B (y=-6x-8)
C (y=-8x-6)
D (y=-6x+8)
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Correct Answer
B. (y=-6x-8)
Explanation
Simple Explanation
ढाल (-6) का अर्थ (x) का गुणांक (-6) है। (y)-अवरोध (-8) होने से (y=-6x-8) सही है। / Slope (-6) means the coefficient of (x) is (-6). With (y)-intercept (-8), (y=-6x-8) is correct.
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रेखा \(y=\frac{9}{4}x+2\) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line \(y=\frac{9}{4}x+2\)?
#y_intercept
#fraction_slope
#constant_term
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A \(\frac{9}{4}\)
B (4)
C (2)
D (-2)
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Explanation
Simple Explanation
स्थिर पद (2) है। इसलिए (y)-अवरोध (2) है। / The constant term is (2). Therefore the (y)-intercept is (2).
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रेखा \(y=-\frac{5}{9}x+8\) की ढाल क्या है?
What is the slope of the line \(y=-\frac{5}{9}x+8\)?
#slope
#fraction_slope
#negative_slope
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A (8)
B \(-\frac{5}{9}\)
C \(\frac{5}{9}\)
D (-8)
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Correct Answer
B. \(-\frac{5}{9}\)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक \(-\frac{5}{9}\) है। / The slope equals the coefficient of (x). Here the coefficient is \(-\frac{5}{9}\).
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रेखा (y=7x+20) (y)-अक्ष को किस (y)-मान पर काटती है?
At what (y)-value does the line (y=7x+20) cut the (y)-axis?
#y_intercept
#value_at_zero
#graph
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A (7)
B (13)
C (20)
D (27)
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Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। तब (y=20) मिलता है। / On the (y)-axis, (x=0). Then (y=20).
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रेखा (y=-10x+31) की ढाल का चिन्ह कैसा है?
What is the sign of the slope of the line (y=-10x+31)?
#negative_slope
#slope_sign
#coefficient
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A धनात्मक / Positive
B शून्य / Zero
C ऋणात्मक / Negative
D निर्धारित नहीं / Cannot be determined
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Correct Answer
C. ऋणात्मक / Negative
Explanation
Simple Explanation
ढाल (-10) है। इसलिए उसका चिन्ह ऋणात्मक है। / The slope is (-10). Therefore its sign is negative.
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रेखा (y=14x-6) की ढाल का चिन्ह कैसा है?
What is the sign of the slope of the line (y=14x-6)?
#positive_slope
#slope_sign
#coefficient
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A धनात्मक / Positive
B ऋणात्मक / Negative
C शून्य / Zero
D निर्धारित नहीं / Cannot be determined
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Correct Answer
A. धनात्मक / Positive
Explanation
Simple Explanation
ढाल (14) है। इसलिए उसका चिन्ह धनात्मक है। / The slope is (14). Therefore its sign is positive.
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रेखा (y=0x-7) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=0x-7), what are the slope and (y)-intercept?
#zero_slope
#y_intercept
#identify_both
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A ढाल (0), (y)-अवरोध (-7) / Slope (0), (y)-intercept (-7)
B ढाल (-7), (y)-अवरोध (0) / Slope (-7), (y)-intercept (0)
C ढाल (7), (y)-अवरोध (0) / Slope (7), (y)-intercept (0)
D ढाल (0), (y)-अवरोध (7) / Slope (0), (y)-intercept (7)
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Correct Answer
A. ढाल (0), (y)-अवरोध (-7) / Slope (0), (y)-intercept (-7)
Explanation
Simple Explanation
(x) का गुणांक (0) है और स्थिर पद (-7) है। इसलिए ढाल (0) और (y)-अवरोध (-7) है। / The coefficient of (x) is (0), and the constant term is (-7). So the slope is (0) and the (y)-intercept is (-7).
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रेखा (y=21-8x) में (x) का गुणांक और स्थिर पद कौन से हैं?
In the line (y=21-8x), what are the coefficient of (x) and the constant term?
#coefficient
#constant_term
#rearranged_form
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A गुणांक (21), स्थिर पद (-8) / Coefficient (21), constant term (-8)
B गुणांक (8), स्थिर पद (21) / Coefficient (8), constant term (21)
C गुणांक (-8), स्थिर पद (21) / Coefficient (-8), constant term (21)
D गुणांक (-21), स्थिर पद (8) / Coefficient (-21), constant term (8)
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Correct Answer
C. गुणांक (-8), स्थिर पद (21) / Coefficient (-8), constant term (21)
Explanation
Simple Explanation
इसे (y=-8x+21) लिखते हैं। इसलिए (x) का गुणांक (-8) और स्थिर पद (21) है। / We write it as (y=-8x+21). Therefore the coefficient of (x) is (-8), and the constant term is (21).
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रेखा (y=10-2x) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=10-2x) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#rearranged_form
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A ( (0,10) )
B ( (10,0) )
C ( (0,-2) )
D ( (-2,10) )
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Correct Answer
A. ( (0,10) )
Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। इसलिए बिंदु ( (0,10) ) है। / On the (y)-axis, (x=0). Therefore the point is ( (0,10) ).
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रेखा (y=-13x+6) में (x) के (1) बढ़ने पर (y) में क्या परिवर्तन होता है?
In the line (y=-13x+6), what change occurs in (y) when (x) increases by (1)?
#negative_slope
#rate_of_change
#unit_change
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A (13) बढ़ता है / Increases by (13)
B (6) बढ़ता है / Increases by (6)
C (6) घटता है / Decreases by (6)
D (13) घटता है / Decreases by (13)
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Correct Answer
D. (13) घटता है / Decreases by (13)
Explanation
Simple Explanation
ढाल (-13) है। इसलिए (x) के (1) बढ़ने पर (y) (13) घटता है। / The slope is (-13). So when (x) increases by (1), (y) decreases by (13).
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रेखा (y=11x+13) में (x) के (1) बढ़ने पर (y) कितना बढ़ता है?
In the line (y=11x+13), by how much does (y) increase when (x) increases by (1)?
#positive_slope
#rate_of_change
#unit_increase
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A (13)
B (24)
C (11)
D (1)
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Explanation
Simple Explanation
ढाल (11) है। इसलिए (x) के (1) बढ़ने पर (y) (11) बढ़ता है। / The slope is (11). So when (x) increases by (1), (y) increases by (11).
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रेखा \(y=\frac{4}{3}x-6\) की ढाल क्या है?
What is the slope of the line \(y=\frac{4}{3}x-6\)?
#slope
#fraction_slope
#coefficient
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A (6)
B (-6)
C \(\frac{4}{3}\)
D \(-\frac{4}{3}\)
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Correct Answer
C. \(\frac{4}{3}\)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक \(\frac{4}{3}\) है। / The slope equals the coefficient of (x). Here the coefficient is \(\frac{4}{3}\).
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रेखा \(y=-\frac{3}{8}x+5\) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line \(y=-\frac{3}{8}x+5\)?
#y_intercept
#fraction_slope
#constant_term
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A \(-\frac{3}{8}\)
B (5)
C \(\frac{3}{8}\)
D (-5)
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Explanation
Simple Explanation
स्थिर पद (5) है। इसलिए (y)-अवरोध (5) है। / The constant term is (5). Therefore the (y)-intercept is (5).
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