100 results found for "zero to point" in Class 10.
कौन सा बहुपद (x=0) को शून्य बनाता है लेकिन शून्य बहुपद नहीं है?
Which polynomial makes (x=0) a zero but is not the zero polynomial?
#zero at zero
#constant term
#polynomial
A \(x^2+9\)
B \(4x^3-7x\)
C (5)
D \(x^4+1\)
Explanation opens after your attempt
Correct Answer
B. \(4x^3-7x\)
Step 1
Concept
Substituting (x=0) in \(4x^3-7x\) gives (0), and it is not the zero polynomial. For (x=0), the constant term must be (0).
Step 2
Why this answer is correct
The correct answer is B. \(4x^3-7x\). Substituting (x=0) in \(4x^3-7x\) gives (0), and it is not the zero polynomial. For (x=0), the constant term must be (0).
Step 3
Exam Tip
\(4x^3-7x\) में (x=0) रखने पर (0) मिलता है और यह शून्य बहुपद नहीं है। (x=0) के लिए अचर पद (0) होना चाहिए।
Login to save your score, XP, coins and progress. Login
यदि ग्राफ के शून्यक (-12), (5), (14) हैं, तो कौन सा बिंदु ग्राफ पर शून्यक नहीं दिखाता?
If the zeroes of a graph are (-12), (5), (14), which point does not show a zero on the graph?
#zero point
#misconception
#coordinates
A ((-12,0))
B ((5,0))
C ((0,14))
D ((14,0))
Explanation opens after your attempt
Correct Answer
C. ((0,14))
Step 1
Concept
((0,14)) has (y=14), so it is not on the (x)-axis. Tip: a zero point must have second coordinate (0).
Step 2
Why this answer is correct
The correct answer is C. ((0,14)). ((0,14)) has (y=14), so it is not on the (x)-axis. Tip: a zero point must have second coordinate (0).
Step 3
Exam Tip
((0,14)) में (y=14) है, इसलिए यह (x)-अक्ष पर नहीं है। टिप: शून्यक बिंदु में दूसरा निर्देशांक (0) होना चाहिए।
Login to save your score, XP, coins and progress. Login
यदि ग्राफ के शून्यक (-8), (3), (12) हैं, तो कौन सा बिंदु ग्राफ पर शून्यक नहीं दिखाता?
If the zeroes of a graph are (-8), (3), (12), which point does not show a zero on the graph?
#zero point
#misconception
#coordinates
A ((-8,0))
B ((3,0))
C ((0,12))
D ((12,0))
Explanation opens after your attempt
Correct Answer
C. ((0,12))
Step 1
Concept
((0,12)) has (y=12), so it is not on the (x)-axis. Tip: a zero point must have second coordinate (0).
Step 2
Why this answer is correct
The correct answer is C. ((0,12)). ((0,12)) has (y=12), so it is not on the (x)-axis. Tip: a zero point must have second coordinate (0).
Step 3
Exam Tip
((0,12)) में (y=12) है, इसलिए यह (x)-अक्ष पर नहीं है। टिप: शून्यक बिंदु में दूसरा निर्देशांक (0) होना चाहिए।
Login to save your score, XP, coins and progress. Login
कौन सा बिंदु (x=9) को शून्यक साबित करता है?
Which point proves that (x=9) is a zero?
#zero point proof
A ((9,0))
B ((0,9))
C ((9,9))
D ((-9,0))
Explanation opens after your attempt
Correct Answer
A. ((9,0))
Step 1
Concept
A zero (x=9) means (p(9)=0). Tip: place the zero as the first coordinate.
Step 2
Why this answer is correct
The correct answer is A. ((9,0)). A zero (x=9) means (p(9)=0). Tip: place the zero as the first coordinate.
Step 3
Exam Tip
(x=9) शून्यक होने का अर्थ (p(9)=0) है। टिप: शून्यक को पहले निर्देशांक में रखें।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -1) है तो कौन सा बिंदु आलेख पर शून्यक नहीं दिखाता?
If (p(x)=x-2 -1), which point does not show a zero on the graph?
#not zero point graph
A ((-1,0))
B ((1,0))
C ((0,-1))
D दोनों ((-1,0)) और ((1,0)) / Both ((-1,0)) and ((1,0))
Explanation opens after your attempt
Correct Answer
C. ((0,-1))
Step 1
Concept
((0,-1)) has \(y\neq0\), so it does not show a zero. Tip: it is a (y)-axis intercept.
Step 2
Why this answer is correct
The correct answer is C. ((0,-1)). ((0,-1)) has \(y\neq0\), so it does not show a zero. Tip: it is a (y)-axis intercept.
Step 3
Exam Tip
((0,-1)) में \(y\neq0\) है इसलिए यह शून्यक नहीं दिखाता। टिप: यह (y)-अक्ष कटान है।
Login to save your score, XP, coins and progress. Login
यदि (x=7) किसी बहुपद का शून्यक है, तो ग्राफ पर कौन सा बिंदु अवश्य होगा?
If (x=7) is a zero of a polynomial, which point must lie on the graph?
#zero to point
#graph
#concept
A ((0,7))
B ((7,7))
C ((7,0))
D ((-7,0))
Explanation opens after your attempt
Correct Answer
C. ((7,0))
Step 1
Concept
A zero (7) means (p(7)=0). Tip: place the zero as the first coordinate.
Step 2
Why this answer is correct
The correct answer is C. ((7,0)). A zero (7) means (p(7)=0). Tip: place the zero as the first coordinate.
Step 3
Exam Tip
शून्यक (7) होने का अर्थ (p(7)=0) है। टिप: शून्यक को पहले निर्देशांक में रखें।
Login to save your score, XP, coins and progress. Login
कौन सा बिंदु किसी बहुपद के शून्यक को सीधे दिखाता है?
Which point directly shows a zero of a polynomial?
#identify zero point
A ((9,0))
B ((0,9))
C ((9,9))
D ((0,-9))
Explanation opens after your attempt
Correct Answer
A. ((9,0))
Step 1
Concept
A point showing a zero has (y)-coordinate (0). Tip: choose points lying on the (x)-axis.
Step 2
Why this answer is correct
The correct answer is A. ((9,0)). A point showing a zero has (y)-coordinate (0). Tip: choose points lying on the (x)-axis.
Step 3
Exam Tip
शून्यक वाले बिंदु का (y)-निर्देशांक (0) होता है। टिप: (x)-अक्ष पर पड़े बिंदु चुनें।
Login to save your score, XP, coins and progress. Login
यदि किसी ग्राफ में ((4,2)) बिंदु है, तो क्या (4) शून्यक है?
If a graph has the point ((4,2)), is (4) a zero?
#point-test
#not-zero
#graph
#easy
A नहीं / No
B हाँ / Yes
C केवल यदि बहुपद द्विघात हो / Only if the polynomial is quadratic
D केवल यदि ग्राफ रेखा हो / Only if the graph is a line
Explanation opens after your attempt
Correct Answer
A. नहीं / No
Step 1
Concept
In ((4,2)), (y=2), not (0). Therefore (x=4) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं / No. In ((4,2)), (y=2), not (0). Therefore (x=4) is not a zero.
Step 3
Exam Tip
((4,2)) में (y=2) है, (0) नहीं। इसलिए (x=4) शून्यक नहीं है।
Login to save your score, XP, coins and progress. Login
किस बिंदु पर ग्राफ होने से (x=-2) शून्यक सिद्ध होगा?
Which point on the graph proves that (x=-2) is a zero?
#negative-zero
#point-reading
#x-intercept
#easy
A ((-2,0))
B ((2,0))
C ((0,-2))
D ((-2,2))
Explanation opens after your attempt
Correct Answer
A. ((-2,0))
Step 1
Concept
For (x=-2) to be a zero, (y=0) at that point. Hence the correct point is ((-2,0)).
Step 2
Why this answer is correct
The correct answer is A. ((-2,0)). For (x=-2) to be a zero, (y=0) at that point. Hence the correct point is ((-2,0)).
Step 3
Exam Tip
(x=-2) शून्यक होने के लिए उस बिंदु पर (y=0) होना चाहिए। इसलिए सही बिंदु ((-2,0)) है।
Login to save your score, XP, coins and progress. Login
एक बिंदु परिप्रेक्ष्य में यदि रेखाएं लुप्त बिंदु से न मिलें तो क्या समस्या होगी?
If lines do not meet the vanishing point in one-point perspective what problem will occur?
#one point perspective
#vanishing point
#depth
A गहराई असंगत लगेगी / Depth will look inconsistent
B रंग चमकीला होगा / Colour will become bright
C बनावट मुलायम होगी / Texture will become soft
D कागज बदल जाएगा / Paper will change
Explanation opens after your attempt
Correct Answer
A. गहराई असंगत लगेगी / Depth will look inconsistent
Step 1
Concept
Perspective lines make depth logical by relating to vanishing point. Exam tip: check vanishing point direction.
Step 2
Why this answer is correct
The correct answer is A. गहराई असंगत लगेगी / Depth will look inconsistent. Perspective lines make depth logical by relating to vanishing point. Exam tip: check vanishing point direction.
Step 3
Exam Tip
परिप्रेक्ष्य रेखाएं लुप्त बिंदु से जुड़कर गहराई को तार्किक बनाती हैं। परीक्षा में vanishing point की दिशा जांचें।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=2x-2 +mx+18) का एक शून्यक (3) है, तो दूसरा शून्यक क्या है?
If one zero of (p(x)=2x-2 +mx+18) is (3), what is the other zero?
#one-zero-given
#product-zeroes
#quadratic
A (3)
B -(3)
C (6)
D -(6)
Explanation opens after your attempt
Step 1
Concept
The product is \(\frac{18}{2}=9\). Since one zero is (3), the other is (3).
Step 2
Why this answer is correct
The correct answer is A. (3). The product is \(\frac{18}{2}=9\). Since one zero is (3), the other is (3).
Step 3
Exam Tip
गुणनफल \(\frac{18}{2}=9\) है। एक शून्यक (3) है, इसलिए दूसरा (3) होगा।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 +3x-18) का एक शून्यक (3) है, तो दूसरा शून्यक क्या है?
If one zero of (p(x)=x-2 +3x-18) is (3), what is the other zero?
#one-zero-given
#product-zeroes
#quadratic
A -(6)
B (6)
C -(3)
D (9)
Explanation opens after your attempt
Step 1
Concept
The product of zeroes is (-18). Since one zero is (3), the other is \(-18\div3=-6\).
Step 2
Why this answer is correct
The correct answer is A. -(6). The product of zeroes is (-18). Since one zero is (3), the other is \(-18\div3=-6\).
Step 3
Exam Tip
शून्यकों का गुणनफल (-18) है। एक शून्यक (3) है, इसलिए दूसरा \(-18\div3=-6\) है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -10x+r) का एक शून्यक (4) है, तो दूसरा शून्यक क्या है?
If one zero of (p(x)=x-2 -10x+r) is (4), what is the other zero?
#one-zero-given
#sum-zeroes
#quadratic
A (6)
B (4)
C (10)
D -(6)
Explanation opens after your attempt
Step 1
Concept
The sum of zeroes is (10). Since one zero is (4), the other is (10-4=6).
Step 2
Why this answer is correct
The correct answer is A. (6). The sum of zeroes is (10). Since one zero is (4), the other is (10-4=6).
Step 3
Exam Tip
शून्यकों का योग (10) है। एक शून्यक (4) है, इसलिए दूसरा (10-4=6) है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -2x-2) का एक शून्यक \(1+\sqrt{3}\) है, तो दूसरा शून्यक क्या है?
If one zero of (p(x)=x-2 -2x-2) is \(1+\sqrt{3}\), what is the other zero?
#other-zero
#sum-of-zeroes
#conjugate
A \(1-\sqrt{3}\)
B \(-1+\sqrt{3}\)
C \(1+\sqrt{3}\)
D \(-1-\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(1-\sqrt{3}\)
Step 1
Concept
The sum of zeroes is (2), so the other zero is (2-\(1+\sqrt{3}\)=1-\sqrt{3}). With rational coefficients, the conjugate also appears.
Step 2
Why this answer is correct
The correct answer is A. \(1-\sqrt{3}\). The sum of zeroes is (2), so the other zero is (2-\(1+\sqrt{3}\)=1-\sqrt{3}). With rational coefficients, the conjugate also appears.
Step 3
Exam Tip
शून्यकों का योग (2) है, इसलिए दूसरा शून्यक (2-\(1+\sqrt{3}\)=1-\sqrt{3}) है। परिमेय गुणांकों में संयुग्मी भी मिलता है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -13x+k) का एक शून्यक (6) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होंगे?
If (p(x)=x-2 -13x+k) has one zero (6), what will be the other zero and the (x)-axis intersections?
#missing zero
#quadratic
#intercepts
A दूसरा (7), कटान ((6,0)), ((7,0)) / Other (7), intersections ((6,0)), ((7,0))
B दूसरा (-7), कटान ((6,0)), ((-7,0)) / Other (-7), intersections ((6,0)), ((-7,0))
C दूसरा (13), कटान ((6,0)), ((13,0)) / Other (13), intersections ((6,0)), ((13,0))
D दूसरा (0), कटान ((6,0)), ((0,0)) / Other (0), intersections ((6,0)), ((0,0))
Explanation opens after your attempt
Correct Answer
A. दूसरा (7), कटान ((6,0)), ((7,0)) / Other (7), intersections ((6,0)), ((7,0))
Step 1
Concept
In the quadratic, the sum of zeroes is (13), so the other zero is (7). Tip: convert a zero into ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. दूसरा (7), कटान ((6,0)), ((7,0)) / Other (7), intersections ((6,0)), ((7,0)). In the quadratic, the sum of zeroes is (13), so the other zero is (7). Tip: convert a zero into ((x,0)).
Step 3
Exam Tip
द्विघात में शून्यकों का योग (13) है, इसलिए दूसरा शून्यक (7) है। टिप: शून्यक को ((x,0)) में बदलें।
Login to save your score, XP, coins and progress. Login
यदि परवलय का सममिति अक्ष (x=5) है और एक शून्यक (-1) है, तो दूसरा शून्यक क्या होगा?
If the axis of symmetry of a parabola is (x=5) and one zero is (-1), what will be the other zero?
#axis symmetry
#missing zero
#parabola
A (11)
B (9)
C (6)
D (-11)
Explanation opens after your attempt
Step 1
Concept
The average of the two zeroes is (5), so the other zero is (11). Tip: the axis of symmetry passes through the midpoint of zeroes.
Step 2
Why this answer is correct
The correct answer is A. (11). The average of the two zeroes is (5), so the other zero is (11). Tip: the axis of symmetry passes through the midpoint of zeroes.
Step 3
Exam Tip
दो शून्यकों का औसत (5) है इसलिए दूसरा शून्यक (11) होगा। टिप: सममिति अक्ष शून्यकों के मध्य से गुजरता है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -11x+k) का एक शून्यक (4) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होंगे?
If (p(x)=x-2 -11x+k) has one zero (4), what will be the other zero and the (x)-axis intersections?
#missing zero
#quadratic
#intercepts
A दूसरा (7), कटान ((4,0)), ((7,0)) / Other (7), intersections ((4,0)), ((7,0))
B दूसरा (-7), कटान ((4,0)), ((-7,0)) / Other (-7), intersections ((4,0)), ((-7,0))
C दूसरा (11), कटान ((4,0)), ((11,0)) / Other (11), intersections ((4,0)), ((11,0))
D दूसरा (0), कटान ((4,0)), ((0,0)) / Other (0), intersections ((4,0)), ((0,0))
Explanation opens after your attempt
Correct Answer
A. दूसरा (7), कटान ((4,0)), ((7,0)) / Other (7), intersections ((4,0)), ((7,0))
Step 1
Concept
In the quadratic, the sum of zeroes is (11), so the other zero is (7). Tip: convert a zero into ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. दूसरा (7), कटान ((4,0)), ((7,0)) / Other (7), intersections ((4,0)), ((7,0)). In the quadratic, the sum of zeroes is (11), so the other zero is (7). Tip: convert a zero into ((x,0)).
Step 3
Exam Tip
द्विघात में शून्यकों का योग (11) है, इसलिए दूसरा शून्यक (7) है। टिप: शून्यक को ((x,0)) में बदलें।
Login to save your score, XP, coins and progress. Login
यदि परवलय का सममिति अक्ष (x=-2) है और एक शून्यक (5) है, तो दूसरा शून्यक क्या होगा?
If the axis of symmetry of a parabola is (x=-2) and one zero is (5), what will be the other zero?
#axis symmetry
#missing zero
#parabola
A (-9)
B (-7)
C (9)
D (7)
Explanation opens after your attempt
Step 1
Concept
The average of the two zeroes is (-2), so the other zero is (-9). Tip: connect the axis of symmetry with the midpoint of zeroes.
Step 2
Why this answer is correct
The correct answer is A. (-9). The average of the two zeroes is (-2), so the other zero is (-9). Tip: connect the axis of symmetry with the midpoint of zeroes.
Step 3
Exam Tip
दो शून्यकों का औसत (-2) है, इसलिए दूसरा शून्यक (-9) होगा। टिप: सममिति अक्ष को शून्यकों के मध्य से जोड़ें।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -9x+k) का एक शून्यक (4) है तो दूसरा शून्यक और कटान बिंदु क्या होंगे?
If (p(x)=x-2 -9x+k) has one zero (4), what will be the other zero and intersection points?
#missing zero
#quadratic
#intercepts
A दूसरा (5), कटान ((4,0)), ((5,0)) / Other (5), intersections ((4,0)), ((5,0))
B दूसरा (-5), कटान ((4,0)), ((-5,0)) / Other (-5), intersections ((4,0)), ((-5,0))
C दूसरा (9), कटान ((4,0)), ((9,0)) / Other (9), intersections ((4,0)), ((9,0))
D दूसरा (0), कटान ((4,0)), ((0,0)) / Other (0), intersections ((4,0)), ((0,0))
Explanation opens after your attempt
Correct Answer
A. दूसरा (5), कटान ((4,0)), ((5,0)) / Other (5), intersections ((4,0)), ((5,0))
Step 1
Concept
In the quadratic, the sum of zeroes is (9), so the other zero is (5). Tip: quickly convert a zero to ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. दूसरा (5), कटान ((4,0)), ((5,0)) / Other (5), intersections ((4,0)), ((5,0)). In the quadratic, the sum of zeroes is (9), so the other zero is (5). Tip: quickly convert a zero to ((x,0)).
Step 3
Exam Tip
द्विघात में शून्यकों का योग (9) है इसलिए दूसरा शून्यक (5) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।
Login to save your score, XP, coins and progress. Login
किसी परवलय का एक शून्यक (11) है और सममिति अक्ष (x=3) है। दूसरा शून्यक क्या होगा?
A parabola has one zero (11) and axis of symmetry (x=3). What will be the other zero?
#missing zero
#axis of symmetry
#parabola
A (-5)
B (5)
C (-8)
D (8)
Explanation opens after your attempt
Step 1
Concept
The average of the two zeroes is (3), so the other zero is (-5). Tip: set \(\frac{a+b}{2}\) equal to the axis of symmetry.
Step 2
Why this answer is correct
The correct answer is A. (-5). The average of the two zeroes is (3), so the other zero is (-5). Tip: set \(\frac{a+b}{2}\) equal to the axis of symmetry.
Step 3
Exam Tip
दो शून्यकों का औसत (3) है इसलिए दूसरा शून्यक (-5) होगा। टिप: \(\frac{a+b}{2}\) को सममिति अक्ष के बराबर रखें।
Login to save your score, XP, coins and progress. Login
किसी परवलय का सममिति अक्ष (x=4) है और एक शून्यक (-2) है। दूसरा शून्यक क्या होगा?
The axis of symmetry of a parabola is (x=4) and one zero is (-2). What will be the other zero?
#axis symmetry
#missing zero
#parabola
A (10)
B (6)
C (8)
D (-10)
Explanation opens after your attempt
Step 1
Concept
The average of the two zeroes is (4), so the other zero is (10). Tip: connect the axis of symmetry with the midpoint of zeroes.
Step 2
Why this answer is correct
The correct answer is A. (10). The average of the two zeroes is (4), so the other zero is (10). Tip: connect the axis of symmetry with the midpoint of zeroes.
Step 3
Exam Tip
दोनों शून्यकों का औसत (4) है इसलिए दूसरा शून्यक (10) होगा। टिप: सममिति अक्ष को शून्यकों के मध्य मान से जोड़ें।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -7x+k) का एक शून्यक (3) है, तो दूसरा शून्यक और कटान बिंदु क्या होंगे?
If (p(x)=x-2 -7x+k) has one zero (3), what will be the other zero and intersection points?
#missing zero
#quadratic
#intercepts
A दूसरा (4), कटान ((3,0)), ((4,0)) / Other (4), intersections ((3,0)), ((4,0))
B दूसरा (-4), कटान ((3,0)), ((-4,0)) / Other (-4), intersections ((3,0)), ((-4,0))
C दूसरा (7), कटान ((3,0)), ((7,0)) / Other (7), intersections ((3,0)), ((7,0))
D दूसरा (0), कटान ((3,0)), ((0,0)) / Other (0), intersections ((3,0)), ((0,0))
Explanation opens after your attempt
Correct Answer
A. दूसरा (4), कटान ((3,0)), ((4,0)) / Other (4), intersections ((3,0)), ((4,0))
Step 1
Concept
In the quadratic, the sum of zeroes is (7), so the other zero is (4). Tip: quickly convert a zero to ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. दूसरा (4), कटान ((3,0)), ((4,0)) / Other (4), intersections ((3,0)), ((4,0)). In the quadratic, the sum of zeroes is (7), so the other zero is (4). Tip: quickly convert a zero to ((x,0)).
Step 3
Exam Tip
द्विघात में शून्यकों का योग (7) है, इसलिए दूसरा शून्यक (4) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।
Login to save your score, XP, coins and progress. Login
किसी परवलय का एक शून्यक (9) है और सममिति अक्ष (x=2) है। दूसरा शून्यक क्या होगा?
A parabola has one zero (9) and axis of symmetry (x=2). What is the other zero?
#missing zero
#axis of symmetry
#parabola
A (-5)
B (5)
C (-7)
D (7)
Explanation opens after your attempt
Step 1
Concept
The average of the two zeroes is (2), so the other zero is (-5). Tip: set \( \frac{a+b}{2} \) equal to the axis of symmetry.
Step 2
Why this answer is correct
The correct answer is A. (-5). The average of the two zeroes is (2), so the other zero is (-5). Tip: set \( \frac{a+b}{2} \) equal to the axis of symmetry.
Step 3
Exam Tip
दो शून्यकों का औसत (2) है, इसलिए दूसरा शून्यक (-5) होगा। टिप: \( \frac{a+b}{2} \) को सममिति अक्ष के बराबर रखें।
Login to save your score, XP, coins and progress. Login
किसी परवलय का सममिति अक्ष (x=1) है और एक शून्यक (-5) है। दूसरा शून्यक क्या होगा?
The axis of symmetry of a parabola is (x=1) and one zero is (-5). What will be the other zero?
#axis symmetry
#missing zero
#parabola
A (5)
B (6)
C (7)
D (-7)
Explanation opens after your attempt
Step 1
Concept
The average of the two zeroes is (1), so the other zero is (7). Tip: the axis of symmetry passes through the midpoint of zeroes.
Step 2
Why this answer is correct
The correct answer is C. (7). The average of the two zeroes is (1), so the other zero is (7). Tip: the axis of symmetry passes through the midpoint of zeroes.
Step 3
Exam Tip
दो शून्यकों का औसत (1) होगा इसलिए दूसरा शून्यक (7) है। टिप: सममिति अक्ष शून्यकों के मध्य से गुजरता है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -5x+k) का एक शून्यक (2) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होगा?
If (p(x)=x-2 -5x+k) has one zero (2), what will be the other zero and the (x)-axis intersections?
#quadratic
#missing zero
#intercepts
A दूसरा (3), कटान ((2,0)), ((3,0)) / Other (3), intersections ((2,0)), ((3,0))
B दूसरा (-3), कटान ((2,0)), ((-3,0)) / Other (-3), intersections ((2,0)), ((-3,0))
C दूसरा (5), कटान ((2,0)), ((5,0)) / Other (5), intersections ((2,0)), ((5,0))
D दूसरा (0), कटान ((2,0)), ((0,0)) / Other (0), intersections ((2,0)), ((0,0))
Explanation opens after your attempt
Correct Answer
A. दूसरा (3), कटान ((2,0)), ((3,0)) / Other (3), intersections ((2,0)), ((3,0))
Step 1
Concept
In the quadratic, the sum of zeroes is (5), so the other zero is (3). Tip: immediately convert a zero to ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. दूसरा (3), कटान ((2,0)), ((3,0)) / Other (3), intersections ((2,0)), ((3,0)). In the quadratic, the sum of zeroes is (5), so the other zero is (3). Tip: immediately convert a zero to ((x,0)).
Step 3
Exam Tip
द्विघात में शून्यकों का योग (5) है, इसलिए दूसरा शून्यक (3) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।
Login to save your score, XP, coins and progress. Login
किसी परवलय का एक शून्यक (4) है और सममिति अक्ष (x=-1) है। दूसरा शून्यक क्या होगा?
A parabola has one zero (4) and axis of symmetry (x=-1). What will be the other zero?
#axis of symmetry
#missing zero
#parabola
A (-6)
B (-4)
C (2)
D (6)
Explanation opens after your attempt
Step 1
Concept
The average of the two zeroes is (-1), so the other zero is (-6). Tip: set the average equal to the axis of symmetry.
Step 2
Why this answer is correct
The correct answer is A. (-6). The average of the two zeroes is (-1), so the other zero is (-6). Tip: set the average equal to the axis of symmetry.
Step 3
Exam Tip
दो शून्यकों का औसत (-1) है, इसलिए दूसरा शून्यक (-6) होगा। टिप: औसत को सममिति अक्ष के बराबर रखें।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर (p(x)=2x+5) का शून्यक किस बिंदु पर होगा?
At which point will the zero of (p(x)=2x+5) lie on the number line?
#polynomials
#number-line
#linear-polynomial-zero
#medium
A (2.5)
B (-2.5)
C (5)
D (-5)
Explanation opens after your attempt
Step 1
Concept
From (2x+5=0), we get \(x=-\frac{5}{2}=-2.5\). In exams, find the zero and place it like a real number.
Step 2
Why this answer is correct
The correct answer is B. (-2.5). From (2x+5=0), we get \(x=-\frac{5}{2}=-2.5\). In exams, find the zero and place it like a real number.
Step 3
Exam Tip
(2x+5=0) से \(x=-\frac{5}{2}=-2.5\) मिलता है। परीक्षा में शून्यक निकालकर उसे वास्तविक संख्या की तरह रखें।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर (u(x)=6x-18) का शून्यक किस बिंदु पर होगा?
At which point will the zero of (u(x)=6x-18) lie on the number line?
#polynomials
#number-line
#zero-of-polynomial
#class-10
A (2)
B (3)
C (6)
D (18)
Explanation opens after your attempt
Step 1
Concept
From (6x-18=0), we get (x=3). In exams, find the zero first and then place it correctly on the number line.
Step 2
Why this answer is correct
The correct answer is B. (3). From (6x-18=0), we get (x=3). In exams, find the zero first and then place it correctly on the number line.
Step 3
Exam Tip
(6x-18=0) से (x=3) मिलता है। परीक्षा में शून्यक निकालकर उसे संख्या रेखा पर सही बिंदु पर रखें।
Login to save your score, XP, coins and progress. Login
बहुपद (q(x)=x-8) का शून्यक संख्या रेखा पर किस बिंदु पर होगा?
At which point will the zero of the polynomial (q(x)=x-8) lie on the number line?
#polynomials
#number-line
#zero-of-polynomial
#class-10
A \(-8\)
B (0)
C (8)
D (1)
Explanation opens after your attempt
Step 1
Concept
From (x-8=0), we get (x=8). In exams, the zero of (x-a) is (a).
Step 2
Why this answer is correct
The correct answer is C. (8). From (x-8=0), we get (x=8). In exams, the zero of (x-a) is (a).
Step 3
Exam Tip
(x-8=0) से (x=8) मिलता है। परीक्षा में (x-a) का शून्यक (a) होता है।
Login to save your score, XP, coins and progress. Login
यदि (p(2)=3) है तो बिंदु ((2,3)) आलेख पर है। क्या (2) शून्यक है?
If (p(2)=3) then the point ((2,3)) is on the graph. Is (2) a zero?
#not a zero value
A नहीं / No
B हाँ / Yes
C केवल द्विघात में हाँ / Yes only in quadratic
D निर्धारित नहीं किया जा सकता / Cannot be decided
Explanation opens after your attempt
Correct Answer
A. नहीं / No
Step 1
Concept
For a zero (p(2)) should be (0). Tip: if (p(a)\neq0) then (a) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं / No. For a zero (p(2)) should be (0). Tip: if (p(a)\neq0) then (a) is not a zero.
Step 3
Exam Tip
शून्यक के लिए (p(2)) को (0) होना चाहिए था। टिप: (p(a)\neq0) हो तो (a) शून्यक नहीं है।
Login to save your score, XP, coins and progress. Login
ग्राफ में बिंदु ((-8,0)) दिखने पर बहुपद का कौन-सा मान शून्य होगा?
If the point ((-8,0)) appears on the graph, which value of the polynomial input gives zero?
#negative-zero
#coordinate-reading
#x-intercept
#polynomials
A (x=-8)
B (x=8)
C (x=0)
D (x=-1)
Explanation opens after your attempt
Step 1
Concept
The point ((-8,0)) means (y=0) at (x=-8). So (x=-8) makes the polynomial zero.
Step 2
Why this answer is correct
The correct answer is A. (x=-8). The point ((-8,0)) means (y=0) at (x=-8). So (x=-8) makes the polynomial zero.
Step 3
Exam Tip
((-8,0)) का अर्थ है (x=-8) पर (y=0)। इसलिए (x=-8) बहुपद को शून्य बनाता है।
Login to save your score, XP, coins and progress. Login
किस बिंदु पर ग्राफ होने से (x=11) शून्यक सिद्ध होगा?
Which point on the graph proves that (x=11) is a zero?
#point-identification
#zeroes
#x-axis
#graph
A ((11,0))
B ((0,11))
C ((11,1))
D ((-11,0))
Explanation opens after your attempt
Correct Answer
A. ((11,0))
Step 1
Concept
For (x=11) to be a zero, (y=0) is needed. So the point must be ((11,0)).
Step 2
Why this answer is correct
The correct answer is A. ((11,0)). For (x=11) to be a zero, (y=0) is needed. So the point must be ((11,0)).
Step 3
Exam Tip
(x=11) शून्यक होने के लिए (y=0) चाहिए। इसलिए बिंदु ((11,0)) होना चाहिए।
Login to save your score, XP, coins and progress. Login
एक बिंदु परिप्रेक्ष्य में लुप्त बिंदु कहां स्थित होता है?
Where is the vanishing point located in one-point perspective?
#vanishing point
#horizon
#perspective
A क्षितिज रेखा पर / On the horizon line
B कागज के बाहर हमेशा / Always outside paper
C केवल अग्रभूमि में / Only in foreground
D रंग चक्र के बीच / In the middle of colour wheel
Explanation opens after your attempt
Correct Answer
A. क्षितिज रेखा पर / On the horizon line
Step 1
Concept
In one-point perspective receding lines go toward one point on horizon. Exam tip: connect vanishing point with horizon.
Step 2
Why this answer is correct
The correct answer is A. क्षितिज रेखा पर / On the horizon line. In one-point perspective receding lines go toward one point on horizon. Exam tip: connect vanishing point with horizon.
Step 3
Exam Tip
एक बिंदु परिप्रेक्ष्य में दूर जाती रेखाएं क्षितिज पर एक बिंदु की ओर जाती हैं। परीक्षा में vanishing point को horizon से जोड़ें।
Login to save your score, XP, coins and progress. Login
कौन सा बहुपद (x=0) को शून्य बनाता है?
Which polynomial makes (x=0) a zero?
#zero at zero
#constant term
#polynomial
A \(x^2+5\)
B \(3x^3-2x\)
C \(x^4+1\)
D \(2x^2-7x+9\)
Explanation opens after your attempt
Correct Answer
B. \(3x^3-2x\)
Step 1
Concept
Substituting (x=0) in \(3x^3-2x\) gives (0). To make (x=0) a zero, the constant term must be (0).
Step 2
Why this answer is correct
The correct answer is B. \(3x^3-2x\). Substituting (x=0) in \(3x^3-2x\) gives (0). To make (x=0) a zero, the constant term must be (0).
Step 3
Exam Tip
(x=0) रखने पर \(3x^3-2x=0\) मिलता है। (x=0) को शून्य बनाने के लिए अचर पद (0) होना चाहिए।
Login to save your score, XP, coins and progress. Login
यदि \(x^2+mx+n\) का एक शून्यक (0) है और दूसरा शून्यक (5) है, तो (m+n) क्या होगा?
If one zero of \(x^2+mx+n\) is (0) and the other zero is (5), what is (m+n)?
#polynomials
#zeroes
#constant_term
#hard
A (-5)
B (5)
C (0)
D (10)
Explanation opens after your attempt
Step 1
Concept
The sum is (5), so (m=-5), and the product is (0), so (n=0). Hence (m+n=-5).
Step 2
Why this answer is correct
The correct answer is A. (-5). The sum is (5), so (m=-5), and the product is (0), so (n=0). Hence (m+n=-5).
Step 3
Exam Tip
योग (5) है इसलिए (m=-5), और गुणनफल (0) है इसलिए (n=0)। अतः (m+n=-5)।
Login to save your score, XP, coins and progress. Login
कौन सा बहुपद (x=0) को शून्य नहीं बनाता?
Which polynomial does not make (x=0) a zero?
#zero at zero
#constant term
#polynomial
A \(x^3-2x\)
B \(5x^2+x\)
C \(x^4\)
D \(x^2+1\)
Explanation opens after your attempt
Correct Answer
D. \(x^2+1\)
Step 1
Concept
On substituting (x=0), \(x^2+1=1\), so (0) is not its zero. The constant term is decisive at (x=0).
Step 2
Why this answer is correct
The correct answer is D. \(x^2+1\). On substituting (x=0), \(x^2+1=1\), so (0) is not its zero. The constant term is decisive at (x=0).
Step 3
Exam Tip
(x=0) रखने पर \(x^2+1=1\), इसलिए (0) इसका शून्य नहीं है। (x=0) पर अचर पद निर्णायक होता है।
Login to save your score, XP, coins and progress. Login
यदि किसी बहुपद का एक शून्यक \(\sqrt{11}\) है और गुणांक परिमेय हैं, तो कौन सा शून्यक भी होना चाहिए?
If one zero of a polynomial is \(\sqrt{11}\) and the coefficients are rational, which zero should also occur?
#conjugate-zeroes
#polynomials
#irrational-roots
A -\(\sqrt{11}\)
B (11)
C \(\frac{1}{\sqrt{11}}\)
D \(1+\sqrt{11}\)
Explanation opens after your attempt
Correct Answer
A. -\(\sqrt{11}\)
Step 1
Concept
The conjugate of \(\sqrt{11}=0+\sqrt{11}\) is \(-\sqrt{11}\). In exams also identify the case (a=0).
Step 2
Why this answer is correct
The correct answer is A. -\(\sqrt{11}\). The conjugate of \(\sqrt{11}=0+\sqrt{11}\) is \(-\sqrt{11}\). In exams also identify the case (a=0).
Step 3
Exam Tip
\(\sqrt{11}=0+\sqrt{11}\) का संयुग्मी \(-\sqrt{11}\) है। परीक्षा में (a=0) वाला संयुग्मी भी पहचानें।
Login to save your score, XP, coins and progress. Login
यदि \(2+\sqrt{3}\) एक बहुपद \(x^2-4x+1\) का शून्यक है, तो दूसरा शून्यक क्या होगा?
If \(2+\sqrt{3}\) is a zero of the polynomial \(x^2-4x+1\), what is the other zero?
#conjugate roots
#polynomials
#irrational zeroes
A \(2-\sqrt{3}\)
B \(-2+\sqrt{3}\)
C \(-2-\sqrt{3}\)
D \(\sqrt{3}-4\)
Explanation opens after your attempt
Correct Answer
A. \(2-\sqrt{3}\)
Step 1
Concept
For a quadratic with rational coefficients, if \(a+\sqrt{b}\) is a zero then \(a-\sqrt{b}\) is also a zero. The conjugate-root rule is useful in exams.
Step 2
Why this answer is correct
The correct answer is A. \(2-\sqrt{3}\). For a quadratic with rational coefficients, if \(a+\sqrt{b}\) is a zero then \(a-\sqrt{b}\) is also a zero. The conjugate-root rule is useful in exams.
Step 3
Exam Tip
परिमेय गुणांकों वाले द्विघात में \(a+\sqrt{b}\) के साथ \(a-\sqrt{b}\) भी शून्यक होता है। परीक्षा में संयुग्मी मूल का नियम उपयोगी है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -2kx+5) का एक शून्यक \(\sqrt{5}\) है, तो दूसरा शून्यक और (k) क्या होंगे?
If one zero of (p(x)=x-2 -2kx+5) is \(\sqrt{5}\), what will be the other zero and (k)?
#parameter
#product-of-zeroes
#irrational
A दूसरा \(\sqrt{5}\), \(k=\sqrt{5}\) / Other \(\sqrt{5}\), \(k=\sqrt{5}\)
B दूसरा \(-\sqrt{5}\), (k=0) / Other \(-\sqrt{5}\), (k=0)
C दूसरा (5), \(k=\frac{5+\sqrt{5}}{2}\) / Other (5), \(k=\frac{5+\sqrt{5}}{2}\)
D दूसरा (1), \(k=\frac{1+\sqrt{5}}{2}\) / Other (1), \(k=\frac{1+\sqrt{5}}{2}\)
Explanation opens after your attempt
Correct Answer
A. दूसरा \(\sqrt{5}\), \(k=\sqrt{5}\) / Other \(\sqrt{5}\), \(k=\sqrt{5}\)
Step 1
Concept
The product is (5), so the other zero is \(\frac{5}{\sqrt{5}}=\sqrt{5}\). The sum is \(2\sqrt{5}=2k\), hence \(k=\sqrt{5}\).
Step 2
Why this answer is correct
The correct answer is A. दूसरा \(\sqrt{5}\), \(k=\sqrt{5}\) / Other \(\sqrt{5}\), \(k=\sqrt{5}\). The product is (5), so the other zero is \(\frac{5}{\sqrt{5}}=\sqrt{5}\). The sum is \(2\sqrt{5}=2k\), hence \(k=\sqrt{5}\).
Step 3
Exam Tip
गुणनफल (5) है, इसलिए दूसरा शून्यक \(\frac{5}{\sqrt{5}}=\sqrt{5}\) होगा। योग \(2\sqrt{5}=2k\), अतः \(k=\sqrt{5}\) है।
Login to save your score, XP, coins and progress. Login
किसी परवलय का एक शून्यक (-10) है और दूसरा शून्यक पहले से (18) अधिक है। सममिति अक्ष क्या होगा?
One zero of a parabola is (-10), and the other zero is (18) more than the first. What is the axis of symmetry?
#axis symmetry
#word problem
#zeroes
A (x=-1)
B (x=1)
C (x=8)
D (x=-8)
Explanation opens after your attempt
Step 1
Concept
The other zero is (8), and the average is \(\frac{-10+8}{2}=-1\). Tip: the axis of symmetry is the average of two zeroes.
Step 2
Why this answer is correct
The correct answer is A. (x=-1). The other zero is (8), and the average is \(\frac{-10+8}{2}=-1\). Tip: the axis of symmetry is the average of two zeroes.
Step 3
Exam Tip
दूसरा शून्यक (8) है और औसत \(\frac{-10+8}{2}=-1\) है। टिप: सममिति अक्ष दो शून्यकों का औसत है।
Login to save your score, XP, coins and progress. Login
किसी परवलय का एक शून्यक (-8) है और दूसरा शून्यक पहले से (12) अधिक है। सममिति अक्ष क्या होगा?
One zero of a parabola is (-8), and the other zero is (12) more than the first. What is the axis of symmetry?
#axis symmetry
#word problem
#zeroes
A (x=-2)
B (x=2)
C (x=4)
D (x=-4)
Explanation opens after your attempt
Step 1
Concept
The other zero is (4), and the average is \(\frac{-8+4}{2}=-2\). Tip: the axis of symmetry is the average of two zeroes.
Step 2
Why this answer is correct
The correct answer is A. (x=-2). The other zero is (4), and the average is \(\frac{-8+4}{2}=-2\). Tip: the axis of symmetry is the average of two zeroes.
Step 3
Exam Tip
दूसरा शून्यक (4) है और औसत \(\frac{-8+4}{2}=-2\) है। टिप: सममिति अक्ष दो शून्यकों का औसत है।
Login to save your score, XP, coins and progress. Login
किसी परवलय का सममिति अक्ष (x=2) है और एक शून्यक (-3) है। दूसरा शून्यक क्या होगा?
The axis of symmetry of a parabola is (x=2) and one zero is (-3). What will be the other zero?
#parabola
#axis of symmetry
#zeroes
A (7)
B (5)
C (3)
D (-7)
Explanation opens after your attempt
Step 1
Concept
The average of the two zeroes is (2), so the other zero is (7). Tip: in a parabola the axis of symmetry passes through the midpoint of the zeroes.
Step 2
Why this answer is correct
The correct answer is A. (7). The average of the two zeroes is (2), so the other zero is (7). Tip: in a parabola the axis of symmetry passes through the midpoint of the zeroes.
Step 3
Exam Tip
दो शून्यकों का औसत (2) होगा, इसलिए दूसरा शून्यक (7) है। टिप: परवलय में सममिति अक्ष शून्यकों के मध्य से गुजरता है।
Login to save your score, XP, coins and progress. Login
यदि (p(-3)=0), तो बहुपद का कौन-सा शून्यक है?
If (p(-3)=0), which value is a zero of the polynomial?
#zero-definition
#function-value
#negative-zero
#easy
A (-3)
B (3)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
The (x)-value for which (p(x)=0) is a zero. Hence (-3) is a zero of the polynomial.
Step 2
Why this answer is correct
The correct answer is A. (-3). The (x)-value for which (p(x)=0) is a zero. Hence (-3) is a zero of the polynomial.
Step 3
Exam Tip
जिस (x)-मान पर (p(x)=0) हो वही शून्यक होता है। इसलिए (-3) बहुपद का शून्यक है।
Login to save your score, XP, coins and progress. Login
किसी बहुपद के ग्राफ पर शून्यक पहचानने के लिए कौन-सा मान शून्य होना चाहिए?
Which value must be zero to identify a zero on the graph of a polynomial?
#polynomials
#zeroes
#graph
#value-test
A बहुपद का मान / Value of the polynomial
B चर का गुणांक / Coefficient of the variable
C घात का मान / Value of the degree
D स्थिर पद / Constant term
Explanation opens after your attempt
Correct Answer
A. बहुपद का मान / Value of the polynomial
Step 1
Concept
At a zero, the polynomial value is (0). While reading a graph, look for points where (y=0).
Step 2
Why this answer is correct
The correct answer is A. बहुपद का मान / Value of the polynomial. At a zero, the polynomial value is (0). While reading a graph, look for points where (y=0).
Step 3
Exam Tip
शून्यक पर बहुपद का मान (0) होता है। ग्राफ पढ़ते समय (y=0) वाले बिंदु देखें।
Login to save your score, XP, coins and progress. Login
यदि ग्राफ (x)-अक्ष को (2.5) पर काटता है तो सही शून्यक कौन सा है?
If a graph cuts the (x)-axis at (2.5), which is the correct zero?
#zero-vs-point
#decimal
#graph
A (2.5)
B ((2.5,0))
C (0)
D ((0,2.5))
Explanation opens after your attempt
Step 1
Concept
A zero is a number not a point. The point is ((2.5,0)) but the zero is (2.5).
Step 2
Why this answer is correct
The correct answer is A. (2.5). A zero is a number not a point. The point is ((2.5,0)) but the zero is (2.5).
Step 3
Exam Tip
शून्यक संख्या होता है बिंदु नहीं। बिंदु ((2.5,0)) है लेकिन शून्यक (2.5) है।
Login to save your score, XP, coins and progress. Login
आलेख (x)-अक्ष को केवल ((2,0)) पर स्पर्श करता है। शून्यक कौन सा है?
The graph only touches the (x)-axis at ((2,0)). Which is the zero?
#touching point zero
A (2)
B (0)
C दो और शून्य / Two and zero
D कोई नहीं / None
Explanation opens after your attempt
Step 1
Concept
The (x)-coordinate of the touching point is (2) so the zero is (2). Tip: count a touching point too.
Step 2
Why this answer is correct
The correct answer is A. (2). The (x)-coordinate of the touching point is (2) so the zero is (2). Tip: count a touching point too.
Step 3
Exam Tip
स्पर्श बिंदु का (x)-निर्देशांक (2) है इसलिए शून्यक (2) है। टिप: स्पर्श बिंदु को भी गिनें।
Login to save your score, XP, coins and progress. Login
एक बहुपद का ग्राफ (x)-अक्ष को केवल ((-2,0)) पर छूता है। अलग वास्तविक शून्यक कौन-सा है?
A polynomial graph only touches the (x)-axis at ((-2,0)). What is the distinct real zero?
#touching-point
#distinct-zero
#graph
#easy
A (-2)
B (2)
C (0)
D कोई नहीं / None
Explanation opens after your attempt
Step 1
Concept
A touching point also gives (p(x)=0). Therefore the distinct real zero is (-2).
Step 2
Why this answer is correct
The correct answer is A. (-2). A touching point also gives (p(x)=0). Therefore the distinct real zero is (-2).
Step 3
Exam Tip
छूने वाला बिंदु भी (p(x)=0) देता है। इसलिए अलग वास्तविक शून्यक (-2) है।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर (s(x)=5x-10) का शून्यक कौन सा बिंदु है?
Which point is the zero of (s(x)=5x-10) on the number line?
#polynomials
#number-line
#linear-polynomial
#class-10
A (1)
B (2)
C (5)
D (10)
Explanation opens after your attempt
Step 1
Concept
From (5x-10=0), we get (x=2). In exams, move the constant term to the other side first.
Step 2
Why this answer is correct
The correct answer is B. (2). From (5x-10=0), we get (x=2). In exams, move the constant term to the other side first.
Step 3
Exam Tip
(5x-10=0) से (x=2) मिलता है। परीक्षा में पहले स्थिर पद को दूसरी ओर ले जाएं।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर (p(x)=2x-6) का शून्यक कौन सा बिंदु है?
Which point is the zero of (p(x)=2x-6) on the number line?
#polynomials
#number-line
#linear-polynomial
#class-10
A (2)
B (3)
C (6)
D (-3)
Explanation opens after your attempt
Step 1
Concept
From (2x-6=0), we get (x=3). In exams, solve the equation first and then mark the point.
Step 2
Why this answer is correct
The correct answer is B. (3). From (2x-6=0), we get (x=3). In exams, solve the equation first and then mark the point.
Step 3
Exam Tip
(2x-6=0) से (x=3) मिलता है। परीक्षा में पहले समीकरण हल करें फिर बिंदु चिह्नित करें।
Login to save your score, XP, coins and progress. Login
यदि कोई ग्राफ (x)-अक्ष को केवल छूता है, तो क्या वह बिंदु शून्यक देगा?
If a graph only touches the (x)-axis, will that point give a zero?
#touching-x-axis
#zeroes
#concept
#easy
A हाँ / Yes
B नहीं / No
C केवल रेखा में / Only for a line
D केवल तब जब (y=1) हो / Only when (y=1)
Explanation opens after your attempt
Correct Answer
A. हाँ / Yes
Step 1
Concept
Even when the graph touches, the point lies on the (x)-axis and (y=0). Therefore that point gives a zero.
Step 2
Why this answer is correct
The correct answer is A. हाँ / Yes. Even when the graph touches, the point lies on the (x)-axis and (y=0). Therefore that point gives a zero.
Step 3
Exam Tip
छूने पर भी बिंदु (x)-अक्ष पर होता है और (y=0) होता है। इसलिए वह बिंदु शून्यक देता है।
Login to save your score, XP, coins and progress. Login
यदि किसी बहुपद के ग्राफ का (x)-अक्ष से केवल एक साझा बिंदु ((6,0)) है, तो अलग वास्तविक शून्यक क्या होगा?
If a polynomial graph has only one common point with the (x)-axis at ((6,0)), what is the distinct real zero?
#distinct-zero
#x-axis
#graph
#easy
A (6)
B (-6)
C (0)
D कोई नहीं / None
Explanation opens after your attempt
Step 1
Concept
The common point ((6,0)) has (x)-coordinate (6). So the distinct real zero is (6).
Step 2
Why this answer is correct
The correct answer is A. (6). The common point ((6,0)) has (x)-coordinate (6). So the distinct real zero is (6).
Step 3
Exam Tip
एक साझा बिंदु ((6,0)) का (x)-निर्देशांक (6) है। इसलिए अलग वास्तविक शून्यक (6) होगा।
Login to save your score, XP, coins and progress. Login
यदि (p(0)=0), तो ग्राफ किस विशेष बिंदु से गुजरेगा?
If (p(0)=0), through which special point will the graph pass?
#origin
#zero
#p-of-zero
#graph
A मूल बिंदु / Origin
B केवल ((1,0)) / Only ((1,0))
C केवल ((0,1)) / Only ((0,1))
D ((-1,0))
Explanation opens after your attempt
Correct Answer
A. मूल बिंदु / Origin
Step 1
Concept
(p(0)=0) means (y=0) at (x=0). So the graph passes through the origin ((0,0)).
Step 2
Why this answer is correct
The correct answer is A. मूल बिंदु / Origin. (p(0)=0) means (y=0) at (x=0). So the graph passes through the origin ((0,0)).
Step 3
Exam Tip
(p(0)=0) का अर्थ है (x=0) पर (y=0)। इसलिए ग्राफ मूल बिंदु ((0,0)) से गुजरेगा।
Login to save your score, XP, coins and progress. Login
ग्राफ पर ((0,4)) बिंदु मिलने से क्या (0) शून्यक होगा?
Does the point ((0,4)) on a graph mean that (0) is a zero?
#common-mistake
#y-intercept
#zeroes
#graph
A नहीं, क्योंकि \(y\neq 0\) है / No, because \(y\neq 0\)
B हाँ, क्योंकि (x=0) है / Yes, because (x=0)
C हाँ, क्योंकि बिंदु (y)-अक्ष पर है / Yes, because the point is on the (y)-axis
D निर्धारित नहीं हो सकता / Cannot be determined
Explanation opens after your attempt
Correct Answer
A. नहीं, क्योंकि \(y\neq 0\) है / No, because \(y\neq 0\)
Step 1
Concept
For a zero, (y=0) is required. In ((0,4)), (y=4), so (0) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं, क्योंकि \(y\neq 0\) है / No, because \(y\neq 0\). For a zero, (y=0) is required. In ((0,4)), (y=4), so (0) is not a zero.
Step 3
Exam Tip
शून्यक के लिए (y=0) होना चाहिए। ((0,4)) में (y=4) है, इसलिए (0) शून्यक नहीं है।
Login to save your score, XP, coins and progress. Login
किस बिंदु से बहुपद का शून्यक सीधे मिल सकता है?
From which point can the zero of a polynomial be directly found?
#zeroes
#graphical-meaning
#x-axis
#polynomials
A जहाँ ग्राफ (x)-अक्ष को छूता या काटता है / Where the graph touches or cuts the (x)-axis
B जहाँ ग्राफ (y)-अक्ष को काटता है / Where the graph cuts the (y)-axis
C जहाँ ग्राफ ऊपर जाता है / Where the graph goes upward
D जहाँ ग्राफ नीचे जाता है / Where the graph goes downward
Explanation opens after your attempt
Correct Answer
A. जहाँ ग्राफ (x)-अक्ष को छूता या काटता है / Where the graph touches or cuts the (x)-axis
Step 1
Concept
For a zero, (y=0), and this happens on the (x)-axis. So look at the points where the graph meets the (x)-axis.
Step 2
Why this answer is correct
The correct answer is A. जहाँ ग्राफ (x)-अक्ष को छूता या काटता है / Where the graph touches or cuts the (x)-axis. For a zero, (y=0), and this happens on the (x)-axis. So look at the points where the graph meets the (x)-axis.
Step 3
Exam Tip
शून्यक के लिए (y=0) होना चाहिए और यह स्थिति (x)-अक्ष पर होती है। इसलिए (x)-अक्ष से मिलने वाले बिंदु देखें।
Login to save your score, XP, coins and progress. Login
किसी बहुपद के आलेख पर बिंदु ((4,0)) है। इससे कौन सा कथन सही है?
The point ((4,0)) lies on the graph of a polynomial. Which statement is correct?
#point zero graph
A (4) बहुपद का शून्यक है / (4) is a zero of the polynomial
B (0) बहुपद का शून्यक है / (0) is a zero of the polynomial
C (4) (y)-अक्ष कटान है / (4) is the (y)-intercept
D बहुपद स्थिर है / The polynomial is constant
Explanation opens after your attempt
Correct Answer
A. (4) बहुपद का शून्यक है / (4) is a zero of the polynomial
Step 1
Concept
The point ((4,0)) means (p(x)=0) at (x=4). Tip: from ((a,0)) the zero is (a).
Step 2
Why this answer is correct
The correct answer is A. (4) बहुपद का शून्यक है / (4) is a zero of the polynomial. The point ((4,0)) means (p(x)=0) at (x=4). Tip: from ((a,0)) the zero is (a).
Step 3
Exam Tip
((4,0)) का अर्थ है (x=4) पर (p(x)=0)। टिप: ((a,0)) से शून्यक (a) मिलता है।
Login to save your score, XP, coins and progress. Login
यदि (p(-10)=0), तो (x)-अक्ष पर संबंधित बिंदु कौन-सा होगा?
If (p(-10)=0), which corresponding point will be on the (x)-axis?
#x-axis-point
#function-value
#negative-zero
#easy
A ((-10,0))
B ((10,0))
C ((0,-10))
D ((-10,-10))
Explanation opens after your attempt
Correct Answer
A. ((-10,0))
Step 1
Concept
(p(-10)=0) means (y=0) at (x=-10). Therefore the point on the (x)-axis is ((-10,0)).
Step 2
Why this answer is correct
The correct answer is A. ((-10,0)). (p(-10)=0) means (y=0) at (x=-10). Therefore the point on the (x)-axis is ((-10,0)).
Step 3
Exam Tip
(p(-10)=0) का अर्थ है (x=-10) पर (y=0)। इसलिए (x)-अक्ष पर बिंदु ((-10,0)) होगा।
Login to save your score, XP, coins and progress. Login
यदि किसी ग्राफ का (x)-अक्ष से कोई साझा बिंदु नहीं है, तो शून्यकों के बारे में क्या निष्कर्ष है?
If a graph has no common point with the (x)-axis, what is the conclusion about its zeroes?
#no-common-point
#no-real-zero
#graph
#polynomials
A कोई वास्तविक शून्यक नहीं / No real zero
B एक वास्तविक शून्यक / One real zero
C दो वास्तविक शून्यक / Two real zeroes
D अनंत वास्तविक शून्यक / Infinite real zeroes
Explanation opens after your attempt
Correct Answer
A. कोई वास्तविक शून्यक नहीं / No real zero
Step 1
Concept
Real zeroes are obtained from common points of the graph and the (x)-axis. If there is no common point, there is no real zero.
Step 2
Why this answer is correct
The correct answer is A. कोई वास्तविक शून्यक नहीं / No real zero. Real zeroes are obtained from common points of the graph and the (x)-axis. If there is no common point, there is no real zero.
Step 3
Exam Tip
वास्तविक शून्यक ग्राफ और (x)-अक्ष के साझा बिंदुओं से मिलते हैं। साझा बिंदु न हो तो वास्तविक शून्यक नहीं होगा।
Login to save your score, XP, coins and progress. Login
यदि (p(-6)=0), तो कौन-सा बिंदु ग्राफ पर होगा?
If (p(-6)=0), which point will lie on the graph?
#graph-point
#function-value
#negative-zero
#easy
A ((-6,0))
B ((6,0))
C ((0,-6))
D ((0,6))
Explanation opens after your attempt
Correct Answer
A. ((-6,0))
Step 1
Concept
(p(-6)=0) means (y=0) at (x=-6). So the point ((-6,0)) lies on the graph.
Step 2
Why this answer is correct
The correct answer is A. ((-6,0)). (p(-6)=0) means (y=0) at (x=-6). So the point ((-6,0)) lies on the graph.
Step 3
Exam Tip
(p(-6)=0) बताता है कि (x=-6) पर (y=0) है। इसलिए बिंदु ((-6,0)) ग्राफ पर होगा।
Login to save your score, XP, coins and progress. Login
इंदिरा पॉइंट और कन्याकुमारी के बीच अंतर का सबसे सटीक भौतिक आधार क्या है?
What is the most accurate physical basis for distinguishing Indira Point and Kanyakumari?
#indira-point
#kanyakumari
#southernmost-point
A द्वीपीय दक्षिणतम बिंदु और मुख्य भूमि दक्षिणी सिरा / Island southernmost point and mainland southern tip
B दो हिमालयी चोटियां / Two Himalayan peaks
C दो गंगा डेल्टा भाग / Two Ganga delta parts
D दो अरावली दर्रे / Two Aravalli passes
Explanation opens after your attempt
Correct Answer
A. द्वीपीय दक्षिणतम बिंदु और मुख्य भूमि दक्षिणी सिरा / Island southernmost point and mainland southern tip
Step 1
Concept
Indira Point is in Nicobar and Kanyakumari is on the mainland. For exams remember island and mainland difference.
Step 2
Why this answer is correct
The correct answer is A. द्वीपीय दक्षिणतम बिंदु और मुख्य भूमि दक्षिणी सिरा / Island southernmost point and mainland southern tip. Indira Point is in Nicobar and Kanyakumari is on the mainland. For exams remember island and mainland difference.
Step 3
Exam Tip
इंदिरा पॉइंट निकोबार में है और कन्याकुमारी मुख्य भूमि पर है। परीक्षा में द्वीप और मुख्य भूमि अंतर याद रखें।
Login to save your score, XP, coins and progress. Login
इंदिरा पॉइंट को कन्याकुमारी से अलग पहचानना क्यों जरूरी है?
Why is it important to distinguish Indira Point from Kanyakumari?
#indira-point
#kanyakumari
#southernmost-point
A इंदिरा पॉइंट भारत का सबसे दक्षिणी बिंदु है जबकि कन्याकुमारी मुख्य भूमि का दक्षिणी सिरा है / Indira Point is India's southernmost point while Kanyakumari is southern tip of mainland
B दोनों हिमालय की चोटियां हैं / Both are Himalayan peaks
C दोनों गंगा के डेल्टा हैं / Both are deltas of Ganga
D दोनों अरावली में हैं / Both are in Aravalli
Explanation opens after your attempt
Correct Answer
A. इंदिरा पॉइंट भारत का सबसे दक्षिणी बिंदु है जबकि कन्याकुमारी मुख्य भूमि का दक्षिणी सिरा है / Indira Point is India's southernmost point while Kanyakumari is southern tip of mainland
Step 1
Concept
Indira Point is in Nicobar and Kanyakumari is on the mainland. For exams remember island and mainland difference.
Step 2
Why this answer is correct
The correct answer is A. इंदिरा पॉइंट भारत का सबसे दक्षिणी बिंदु है जबकि कन्याकुमारी मुख्य भूमि का दक्षिणी सिरा है / Indira Point is India's southernmost point while Kanyakumari is southern tip of mainland. Indira Point is in Nicobar and Kanyakumari is on the mainland. For exams remember island and mainland difference.
Step 3
Exam Tip
इंदिरा पॉइंट निकोबार में है और कन्याकुमारी मुख्य भूमि पर है। परीक्षा में द्वीपीय और मुख्य भूमि अंतर याद रखें।
Login to save your score, XP, coins and progress. Login
ग्राफ में (2x-5y=10) की (y)-अवरोध वाली बिंदु कौन सी है?
Which point is the (y)-intercept point of (2x-5y=10) on the graph?
#linear equations
#graphical method
#y-intercept
#plotting
A ((0,-2))
B ((-2,0))
C ((0,2))
D ((5,0))
Explanation opens after your attempt
Correct Answer
A. ((0,-2))
Step 1
Concept
For the (y)-intercept, put (x=0), then (-5y=10) and (y=-2). For intercepts, set the correct variable to zero.
Step 2
Why this answer is correct
The correct answer is A. ((0,-2)). For the (y)-intercept, put (x=0), then (-5y=10) and (y=-2). For intercepts, set the correct variable to zero.
Step 3
Exam Tip
(y)-अवरोध के लिए (x=0) रखें, तब (-5y=10) और (y=-2)। अवरोध निकालते समय सही चर को शून्य रखें।
Login to save your score, XP, coins and progress. Login
कौन-सा बिंदु (3x+4y=26) पर है लेकिन (x+y=7) पर नहीं है?
Which point lies on (3x+4y=26) but not on (x+y=7)?
#point verification
#not common point
#graph
A बिंदु (\left\(2,5\right\)) / Point (\left\(2,5\right\))
B बिंदु (\left\(4,\frac{7}{2}\right\)) / Point (\left\(4,\frac{7}{2}\right\))
C बिंदु (\left\(6,2\right\)) / Point (\left\(6,2\right\))
D बिंदु (\left\(5,2\right\)) / Point (\left\(5,2\right\))
Explanation opens after your attempt
Correct Answer
A. बिंदु (\left\(2,5\right\)) / Point (\left\(2,5\right\))
Step 1
Concept
At (\left\(2,5\right\)), (3\left\(2\right\)+4\left\(5\right\)=26), but (2+5=7) also, so check fully. The correct non-common point is (\left\(4,\frac{7}{2}\right\)).
Step 2
Why this answer is correct
The correct answer is A. बिंदु (\left\(2,5\right\)) / Point (\left\(2,5\right\)). At (\left\(2,5\right\)), (3\left\(2\right\)+4\left\(5\right\)=26), but (2+5=7) also, so check fully. The correct non-common point is (\left\(4,\frac{7}{2}\right\)).
Step 3
Exam Tip
(\left\(2,5\right\)) पर (3\left\(2\right\)+4\left\(5\right\)=26), लेकिन (2+5=7) भी है, इसलिए जाँच पूरी करें। सही अलग बिंदु (\left\(4,\frac{7}{2}\right\)) है।
Login to save your score, XP, coins and progress. Login
कौन-सा बिंदु (2x+5y=27) पर है लेकिन (x+y=9) पर नहीं है?
Which point lies on (2x+5y=27) but not on (x+y=9)?
#point verification
#not common point
#graph
A बिंदु (\left\(1,5\right\)) / Point (\left\(1,5\right\))
B बिंदु (\left\(6,3\right\)) / Point (\left\(6,3\right\))
C बिंदु (\left\(9,0\right\)) / Point (\left\(9,0\right\))
D बिंदु (\left\(4,5\right\)) / Point (\left\(4,5\right\))
Explanation opens after your attempt
Correct Answer
A. बिंदु (\left\(1,5\right\)) / Point (\left\(1,5\right\))
Step 1
Concept
At (\left\(1,5\right\)), (2\left\(1\right\)+5\left\(5\right\)=27), but (1+5=6). To be a common solution, both equations must be true.
Step 2
Why this answer is correct
The correct answer is A. बिंदु (\left\(1,5\right\)) / Point (\left\(1,5\right\)). At (\left\(1,5\right\)), (2\left\(1\right\)+5\left\(5\right\)=27), but (1+5=6). To be a common solution, both equations must be true.
Step 3
Exam Tip
(\left\(1,5\right\)) पर (2\left\(1\right\)+5\left\(5\right\)=27), लेकिन (1+5=6)। सामान्य हल बनने के लिए दोनों समीकरण सत्य होने चाहिए।
Login to save your score, XP, coins and progress. Login
कौन-सा बिंदु (2x+3y=24) पर है लेकिन (x+y=10) पर नहीं है?
Which point lies on (2x+3y=24) but not on (x+y=10)?
#point verification
#not common point
#graph
A बिंदु (\left\(6,4\right\)) / Point (\left\(6,4\right\))
B बिंदु (\left\(3,6\right\)) / Point (\left\(3,6\right\))
C बिंदु (\left\(9,2\right\)) / Point (\left\(9,2\right\))
D बिंदु (\left\(0,8\right\)) / Point (\left\(0,8\right\))
Explanation opens after your attempt
Correct Answer
B. बिंदु (\left\(3,6\right\)) / Point (\left\(3,6\right\))
Step 1
Concept
At (\left\(3,6\right\)), (2\left\(3\right\)+3\left\(6\right\)=24), but (3+6=9). For a common solution, both equations must be true.
Step 2
Why this answer is correct
The correct answer is B. बिंदु (\left\(3,6\right\)) / Point (\left\(3,6\right\)). At (\left\(3,6\right\)), (2\left\(3\right\)+3\left\(6\right\)=24), but (3+6=9). For a common solution, both equations must be true.
Step 3
Exam Tip
(\left\(3,6\right\)) पर (2\left\(3\right\)+3\left\(6\right\)=24), लेकिन (3+6=9)। सामान्य हल के लिए दोनों समीकरण सत्य होने चाहिए।
Login to save your score, XP, coins and progress. Login
कौन-सा बिंदु (4x+y=18) पर है लेकिन (x+y=9) पर नहीं है?
Which point lies on (4x+y=18) but not on (x+y=9)?
#point verification
#not common point
#graph
A ( (4,2) )
B ( (3,6) )
C ( (2,10) )
D ( (5,-2) )
Explanation opens after your attempt
Correct Answer
A. ( (4,2) )
Step 1
Concept
At ( (4,2) ), (4(4)+2=18), but (4+2=6). For a common solution, the point must satisfy both equations.
Step 2
Why this answer is correct
The correct answer is A. ( (4,2) ). At ( (4,2) ), (4(4)+2=18), but (4+2=6). For a common solution, the point must satisfy both equations.
Step 3
Exam Tip
( (4,2) ) पर (4(4)+2=18), लेकिन (4+2=6)। सामान्य हल के लिए बिंदु को दोनों समीकरण संतुष्ट करने चाहिए।
Login to save your score, XP, coins and progress. Login
कौन-सा बिंदु (3x+2y=16) पर है लेकिन (x+y=7) पर नहीं है?
Which point lies on (3x+2y=16) but not on (x+y=7)?
#point verification
#not common point
#graph
A ( (2,5) )
B ( (4,2) )
C ( (6,-1) )
D ( (3,4) )
Explanation opens after your attempt
Correct Answer
B. ( (4,2) )
Step 1
Concept
At ( (4,2) ), (3(4)+2(2)=16), but (4+2=6). To be a solution of both lines, both equations must be true.
Step 2
Why this answer is correct
The correct answer is B. ( (4,2) ). At ( (4,2) ), (3(4)+2(2)=16), but (4+2=6). To be a solution of both lines, both equations must be true.
Step 3
Exam Tip
( (4,2) ) पर (3(4)+2(2)=16), लेकिन (4+2=6)। दोनों रेखाओं का हल बनने के लिए दोनों समीकरण सत्य होने चाहिए।
Login to save your score, XP, coins and progress. Login
कौन-सा बिंदु रेखा (2x+3y=19) पर है लेकिन रेखा (x+y=8) पर नहीं है?
Which point lies on the line (2x+3y=19) but not on the line (x+y=8)?
#point verification
#not common point
#graph
A ( (5,3) )
B ( (2,5) )
C ( (4,3) )
D ( (1,6) )
Explanation opens after your attempt
Correct Answer
B. ( (2,5) )
Step 1
Concept
At ( (2,5) ), (2(2)+3(5)=19), but (2+5=7). To be a solution of both lines, both equations must be true.
Step 2
Why this answer is correct
The correct answer is B. ( (2,5) ). At ( (2,5) ), (2(2)+3(5)=19), but (2+5=7). To be a solution of both lines, both equations must be true.
Step 3
Exam Tip
( (2,5) ) पर (2(2)+3(5)=19), लेकिन (2+5=7) है। दोनों रेखाओं का हल बनने के लिए दोनों समीकरण सत्य होने चाहिए।
Login to save your score, XP, coins and progress. Login
माया सभ्यता में शून्य के उपयोग का महत्व किस क्षेत्र से सबसे अधिक जुड़ा था?
The importance of the use of zero in Maya civilization was most connected with which field?
#world history
#ancient civilizations
#maya
#zero
A गणना और कैलेंडर / Calculation and calendar
B घुड़सवारी / Horse riding
C लोहे की तलवार / Iron sword
D मुद्रण मशीन / Printing machine
Explanation opens after your attempt
Correct Answer
A. गणना और कैलेंडर / Calculation and calendar
Step 1
Concept
The Maya used zero in calculation and timekeeping. For exams connect the Maya with mathematical achievement.
Step 2
Why this answer is correct
The correct answer is A. गणना और कैलेंडर / Calculation and calendar. The Maya used zero in calculation and timekeeping. For exams connect the Maya with mathematical achievement.
Step 3
Exam Tip
माया गणना और समय मापन में शून्य का उपयोग करते थे। परीक्षा में माया को गणितीय उपलब्धि से जोड़ें।
Login to save your score, XP, coins and progress. Login
किस प्राचीन सभ्यता में शून्य की अवधारणा का उन्नत उपयोग माया कैलेंडर में दिखता है?
In which ancient civilization is an advanced use of zero seen in the Maya calendar?
#world history
#ancient civilizations
#maya zero
A माया / Maya
B रोमन / Roman
C मिस्री / Egyptian
D फोनीशियन / Phoenician
Explanation opens after your attempt
Correct Answer
A. माया / Maya
Step 1
Concept
Maya civilization had an advanced counting and calendar system. Link it with astronomical knowledge in exams.
Step 2
Why this answer is correct
The correct answer is A. माया / Maya. Maya civilization had an advanced counting and calendar system. Link it with astronomical knowledge in exams.
Step 3
Exam Tip
माया सभ्यता में गणना और कैलेंडर प्रणाली उन्नत थी। परीक्षा में इसे खगोल ज्ञान से जोड़ें।
Login to save your score, XP, coins and progress. Login
ब्रह्मगुप्त का शून्य संबंधी नियम किस क्षेत्र की उपलब्धि है?
Brahmagupta's rules related to zero are achievements of which field?
#ancient-history
#brahmagupta
#zero
A गणित / Mathematics
B मूर्तिकला / Sculpture
C राजस्व प्रशासन / Revenue administration
D संगम कविता / Sangam poetry
Explanation opens after your attempt
Correct Answer
A. गणित / Mathematics
Step 1
Concept
Brahmagupta gave important mathematical rules on zero and numbers. For exams, connect zero with a major achievement of Indian mathematics.
Step 2
Why this answer is correct
The correct answer is A. गणित / Mathematics. Brahmagupta gave important mathematical rules on zero and numbers. For exams, connect zero with a major achievement of Indian mathematics.
Step 3
Exam Tip
ब्रह्मगुप्त ने शून्य और संख्याओं पर महत्वपूर्ण गणितीय नियम दिए। परीक्षा में शून्य को भारतीय गणित की प्रमुख उपलब्धि से जोड़ें।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर (r(x)=4x+6) का शून्यक किस अंतराल में होगा?
In which interval will the zero of (r(x)=4x+6) lie on the number line?
#polynomials
#number-line
#linear-zero
#medium
A (-2) और (-1) / (-2) and (-1)
B (-1) और (0) / (-1) and (0)
C (1) और (2) / (1) and (2)
D (0) और (1) / (0) and (1)
Explanation opens after your attempt
Correct Answer
A. (-2) और (-1) / (-2) and (-1)
Step 1
Concept
From (4x+6=0), \(x=-\frac{3}{2}\), which lies between (-2) and (-1). In exams, identify the interval of a negative fraction carefully.
Step 2
Why this answer is correct
The correct answer is A. (-2) और (-1) / (-2) and (-1). From (4x+6=0), \(x=-\frac{3}{2}\), which lies between (-2) and (-1). In exams, identify the interval of a negative fraction carefully.
Step 3
Exam Tip
(4x+6=0) से \(x=-\frac{3}{2}\), जो (-2) और (-1) के बीच है। परीक्षा में ऋणात्मक भिन्न का अंतराल सावधानी से पहचानें।
Login to save your score, XP, coins and progress. Login
बहुपद (q(x)=3x-7) का शून्यक संख्या रेखा पर किस दो पूर्णांकों के बीच होगा?
Between which two integers will the zero of (q(x)=3x-7) lie on the number line?
#polynomials
#number-line
#zero-location
#medium
A (1) और (2) / (1) and (2)
B (2) और (3) / (2) and (3)
C (3) और (4) / (3) and (4)
D (-3) और (-2) / (-3) and (-2)
Explanation opens after your attempt
Correct Answer
B. (2) और (3) / (2) and (3)
Step 1
Concept
From (3x-7=0), \(x=\frac{7}{3}\), which lies between (2) and (3). In exams, first find the zero and then locate it.
Step 2
Why this answer is correct
The correct answer is B. (2) और (3) / (2) and (3). From (3x-7=0), \(x=\frac{7}{3}\), which lies between (2) and (3). In exams, first find the zero and then locate it.
Step 3
Exam Tip
(3x-7=0) से \(x=\frac{7}{3}\), जो (2) और (3) के बीच है। परीक्षा में पहले शून्यक निकालें फिर स्थान तय करें।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर (p(x)=x) का शून्यक कौन सा है?
What is the zero of (p(x)=x) on the number line?
#polynomials
#number-line
#zero-of-polynomial
#class-10
A \(-1\)
B (0)
C (1)
D (2)
Explanation opens after your attempt
Step 1
Concept
For (p(x)=x), putting (x=0) gives (p(x)=0). In exams, a zero is the value where the polynomial becomes (0).
Step 2
Why this answer is correct
The correct answer is B. (0). For (p(x)=x), putting (x=0) gives (p(x)=0). In exams, a zero is the value where the polynomial becomes (0).
Step 3
Exam Tip
(p(x)=x) में (x=0) रखने पर (p(x)=0) होता है। परीक्षा में शून्यक वह मान है जहां बहुपद का मान (0) हो।
Login to save your score, XP, coins and progress. Login
यदि बहुपद का शून्यक (-5) है, तो संख्या रेखा पर वह किस दिशा में होगा?
If the zero of a polynomial is (-5), in which direction will it lie on the number line?
#polynomials
#number-line
#zero-direction
#class-10
A (0) के दाईं ओर / To the right of (0)
B (0) के बाईं ओर / To the left of (0)
C ठीक (0) पर / Exactly at (0)
D (5) और (6) के बीच / Between (5) and (6)
Explanation opens after your attempt
Correct Answer
B. (0) के बाईं ओर / To the left of (0)
Step 1
Concept
The zero (-5) is negative, so it lies to the left of (0). In exams, the sign of the zero tells its direction.
Step 2
Why this answer is correct
The correct answer is B. (0) के बाईं ओर / To the left of (0). The zero (-5) is negative, so it lies to the left of (0). In exams, the sign of the zero tells its direction.
Step 3
Exam Tip
शून्यक (-5) ऋणात्मक है इसलिए वह (0) के बाईं ओर होगा। परीक्षा में शून्यक का चिह्न उसकी दिशा बताता है।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर (p(x)=x+3) के शून्यक को कहां दर्शाया जाएगा?
Where will the zero of (p(x)=x+3) be represented on the number line?
#polynomials
#number-line
#zero-of-polynomial
#class-10
A (3) पर / At (3)
B (-3) पर / At (-3)
C (0) पर / At (0)
D (1) पर / At (1)
Explanation opens after your attempt
Correct Answer
B. (-3) पर / At (-3)
Step 1
Concept
From (x+3=0), we get (x=-3). In exams, find the zero and show it as a point on the number line.
Step 2
Why this answer is correct
The correct answer is B. (-3) पर / At (-3). From (x+3=0), we get (x=-3). In exams, find the zero and show it as a point on the number line.
Step 3
Exam Tip
(x+3=0) से (x=-3) मिलता है। परीक्षा में शून्यक निकालकर उसे संख्या रेखा पर बिंदु की तरह दिखाएं।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-3 -2x-2 -13x-10) है, तो इनमें से कौन (p(x)) का शून्यक है?
If (p(x)=x-3 -2x-2 -13x-10), which of the following is a zero of (p(x))?
#zero-test
#cubic
#polynomial
A (5)
B (2)
C -(1)
D -(2)
Explanation opens after your attempt
Step 1
Concept
(p(-2)=-8-8+26-10=0), so (-2) is a zero. Test small option values by direct substitution.
Step 2
Why this answer is correct
The correct answer is D. -(2). (p(-2)=-8-8+26-10=0), so (-2) is a zero. Test small option values by direct substitution.
Step 3
Exam Tip
(p(-2)=-8-8+26-10=0), इसलिए (-2) शून्यक है। विकल्पों में दिए छोटे मानों को सीधे रखकर जाँचें।
Login to save your score, XP, coins and progress. Login
(p(x)=16x-2 -24x+9) में कौन सा मान शून्य है?
Which value is a zero of (p(x)=16x-2 -24x+9)?
#zero
#fraction
#quadratic
A \(\frac{3}{4}\)
B \(-\frac{3}{4}\)
C \(\frac{4}{3}\)
D \(-\frac{4}{3}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{3}{4}\)
Step 1
Concept
(16x-2 -24x+9=(4x-3)2 ), so the zero is \(x=\frac{3}{4}\). Recognize the perfect square.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{3}{4}\). (16x-2 -24x+9=(4x-3)2 ), so the zero is \(x=\frac{3}{4}\). Recognize the perfect square.
Step 3
Exam Tip
(16x-2 -24x+9=(4x-3)2 ), इसलिए शून्य \(x=\frac{3}{4}\) है। पूर्ण वर्ग पहचानें।
Login to save your score, XP, coins and progress. Login
यदि (x=-3), बहुपद (p(x)=x-2 +kx-18) का शून्य है, तो (k) क्या है?
If (x=-3) is a zero of (p(x)=x-2 +kx-18), what is (k)?
#zero
#parameter
#quadratic
A (-3)
B (-2)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
(p(-3)=9-3k-18=0), so (-3k=9) and (k=-3). When a zero is given, set the polynomial value equal to (0).
Step 2
Why this answer is correct
The correct answer is A. (-3). (p(-3)=9-3k-18=0), so (-3k=9) and (k=-3). When a zero is given, set the polynomial value equal to (0).
Step 3
Exam Tip
(p(-3)=9-3k-18=0), इसलिए (-3k=9) और (k=-3)। शून्य दिए होने पर बहुपद का मान (0) रखें।
Login to save your score, XP, coins and progress. Login
यदि (x=0), (p(x)=7x-3 -2x) का शून्यक है, तो कारण क्या है?
If (x=0) is a zero of (p(x)=7x-3 -2x), what is the reason?
#zero-at-origin
#factor
#polynomial
A हर पद में (x) गुणनखंड है / Every term has factor (x)
B स्थिर पद (7) है / Constant term is (7)
C घात (3) है / Degree is (3)
D गुणांक ऋणात्मक है / A coefficient is negative
Explanation opens after your attempt
Correct Answer
A. हर पद में (x) गुणनखंड है / Every term has factor (x)
Step 1
Concept
(p(x)=x\(7x^2-2\)), so at (x=0) the value is (0). If every term has (x), then (0) is a zero.
Step 2
Why this answer is correct
The correct answer is A. हर पद में (x) गुणनखंड है / Every term has factor (x). (p(x)=x\(7x^2-2\)), so at (x=0) the value is (0). If every term has (x), then (0) is a zero.
Step 3
Exam Tip
(p(x)=x\(7x^2-2\)), इसलिए (x=0) पर मान (0) होता है। यदि हर पद में (x) हो, तो (0) शून्यक होता है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=4x-12), तो इसका शून्यक क्या है?
If (p(x)=4x-12), what is its zero?
#linear-polynomial
#zero
#evaluation
A (3)
B -(3)
C (4)
D (12)
Explanation opens after your attempt
Step 1
Concept
From (4x-12=0), we get (x=3). A zero is the value where the polynomial becomes (0).
Step 2
Why this answer is correct
The correct answer is A. (3). From (4x-12=0), we get (x=3). A zero is the value where the polynomial becomes (0).
Step 3
Exam Tip
(4x-12=0) से (x=3) मिलता है। शून्यक वह मान है जहाँ बहुपद का मान (0) हो।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=ax+b) और \(a\neq0\), तो इसका शून्यक क्या है?
If (p(x)=ax+b) and \(a\neq0\), what is its zero?
#linear-zero
#general-form
#polynomial
A -\(\frac{b}{a}\)
B \(\frac{b}{a}\)
C -\(\frac{a}{b}\)
D \(\frac{a}{b}\)
Explanation opens after your attempt
Correct Answer
A. -\(\frac{b}{a}\)
Step 1
Concept
Putting (ax+b=0) gives \(x=-\frac{b}{a}\). A linear polynomial has exactly one zero.
Step 2
Why this answer is correct
The correct answer is A. -\(\frac{b}{a}\). Putting (ax+b=0) gives \(x=-\frac{b}{a}\). A linear polynomial has exactly one zero.
Step 3
Exam Tip
(ax+b=0) रखने पर \(x=-\frac{b}{a}\) मिलता है। रेखीय बहुपद में केवल एक शून्यक होता है।
Login to save your score, XP, coins and progress. Login
कौन-सा कथन सही है: (p(x)=0) जहाँ (p(x)) शून्य बहुपद है?
Which statement is correct for (p(x)=0), where (p(x)) is the zero polynomial?
#zero-polynomial
#degree
#concept
A इसकी घात परिभाषित नहीं होती / Its degree is not defined
B इसकी घात (0) होती है / Its degree is (0)
C इसकी घात (1) होती है / Its degree is (1)
D यह बहुपद नहीं है / It is not a polynomial
Explanation opens after your attempt
Correct Answer
A. इसकी घात परिभाषित नहीं होती / Its degree is not defined
Step 1
Concept
The zero polynomial has no non-zero term, so its degree is not defined. A non-zero constant polynomial has degree (0).
Step 2
Why this answer is correct
The correct answer is A. इसकी घात परिभाषित नहीं होती / Its degree is not defined. The zero polynomial has no non-zero term, so its degree is not defined. A non-zero constant polynomial has degree (0).
Step 3
Exam Tip
शून्य बहुपद में कोई अशून्य पद नहीं होता, इसलिए उसकी घात परिभाषित नहीं होती। स्थिर अशून्य बहुपद की घात (0) होती है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-3 -4x-2 +x+6), तो इनमें से कौन (p(x)) का शून्यक है?
If (p(x)=x-3 -4x-2 +x+6), which of these is a zero of (p(x))?
#zero-test
#cubic
#polynomial
A (2)
B (1)
C (-1)
D (3)
Explanation opens after your attempt
Step 1
Concept
(p(2)=8-16+2+6=0), so (2) is a zero. Test small integer options first.
Step 2
Why this answer is correct
The correct answer is A. (2). (p(2)=8-16+2+6=0), so (2) is a zero. Test small integer options first.
Step 3
Exam Tip
(p(2)=8-16+2+6=0), इसलिए (2) शून्यक है। विकल्पों में छोटे पूर्णांकों को पहले जाँचें।
Login to save your score, XP, coins and progress. Login
(p(x)=9x-2 +12x+4) में कौन सा मान शून्य है?
Which value is a zero of (p(x)=9x-2 +12x+4)?
#zero
#fraction
#quadratic
A \(-\frac{2}{3}\)
B \(\frac{2}{3}\)
C \(-\frac{3}{2}\)
D (2)
Explanation opens after your attempt
Correct Answer
A. \(-\frac{2}{3}\)
Step 1
Concept
(9x-2 +12x+4=(3x+2)2 ), so the zero is \(x=-\frac{2}{3}\). Recognize the perfect square.
Step 2
Why this answer is correct
The correct answer is A. \(-\frac{2}{3}\). (9x-2 +12x+4=(3x+2)2 ), so the zero is \(x=-\frac{2}{3}\). Recognize the perfect square.
Step 3
Exam Tip
(9x-2 +12x+4=(3x+2)2 ), इसलिए शून्य \(x=-\frac{2}{3}\) है। पूर्ण वर्ग पहचानें।
Login to save your score, XP, coins and progress. Login
यदि (x=-2), बहुपद (p(x)=x-2 +kx-8) का शून्य है, तो (k) क्या है?
If (x=-2) is a zero of (p(x)=x-2 +kx-8), what is (k)?
#zero
#parameter
#quadratic
A (-4)
B (-2)
C (2)
D (4)
Explanation opens after your attempt
Step 1
Concept
(p(-2)=4-2k-8=0), so (-2k=4) and (k=-2). When a zero is given, set the polynomial value equal to (0).
Step 2
Why this answer is correct
The correct answer is B. (-2). (p(-2)=4-2k-8=0), so (-2k=4) and (k=-2). When a zero is given, set the polynomial value equal to (0).
Step 3
Exam Tip
(p(-2)=4-2k-8=0), इसलिए (-2k=4) और (k=-2)। शून्य दिए होने पर बहुपद का मान (0) रखें।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=kx-2 -5x+6) का एक शून्यक (2) है, तो (k) का मान क्या होगा?
If (2) is a zero of (p(x)=kx-2 -5x+6), what is the value of (k)?
#polynomials
#zero
#value
#hard
A (1)
B (2)
C (-1)
D (-2)
Explanation opens after your attempt
Step 1
Concept
Putting (p(2)=0) gives (4k-10+6=0), so (k=1). For a zero, use (p\(\alpha\)=0).
Step 2
Why this answer is correct
The correct answer is A. (1). Putting (p(2)=0) gives (4k-10+6=0), so (k=1). For a zero, use (p\(\alpha\)=0).
Step 3
Exam Tip
(p(2)=0) रखने पर (4k-10+6=0) से (k=1) मिलता है। शून्यक के लिए (p\(\alpha\)=0) लगाएं।
Login to save your score, XP, coins and progress. Login
(p(x)=4x-2 -12x+9) में कौन सा मान शून्य है?
Which value is a zero of (p(x)=4x-2 -12x+9)?
#zero
#fraction
#quadratic
A \(\frac{1}{2}\)
B \(\frac{3}{2}\)
C (2)
D (3)
Explanation opens after your attempt
Correct Answer
B. \(\frac{3}{2}\)
Step 1
Concept
(p\left\(\frac{3}{2}\right\)=9-18+9=0). While using a fraction, square and multiply correctly.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{3}{2}\). (p\left\(\frac{3}{2}\right\)=9-18+9=0). While using a fraction, square and multiply correctly.
Step 3
Exam Tip
(p\left\(\frac{3}{2}\right\)=9-18+9=0)। भिन्न मान रखते समय वर्ग और गुणा सही करें।
Login to save your score, XP, coins and progress. Login
यदि (x=3), बहुपद (p(x)=x-2 -kx+12) का शून्य है, तो (k) क्या है?
If (x=3) is a zero of (p(x)=x-2 -kx+12), what is (k)?
#zero
#parameter
#quadratic
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
(p(3)=9-3k+12=0), so (21=3k) and (k=7). For a zero, set the polynomial value equal to (0).
Step 2
Why this answer is correct
The correct answer is C. (7). (p(3)=9-3k+12=0), so (21=3k) and (k=7). For a zero, set the polynomial value equal to (0).
Step 3
Exam Tip
(p(3)=9-3k+12=0), इसलिए (21=3k) और (k=7)। शून्य की शर्त में बहुपद का मान (0) रखें।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=ax-2 +4x-12) और (x=2) इसका शून्य है, तो (a) क्या होगा?
If (p(x)=ax-2 +4x-12) and (x=2) is its zero, what is (a)?
#zero condition
#parameter
#quadratic
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
(p(2)=4a+8-12=0), so (4a=4) and (a=1). When a zero is given, set the polynomial value equal to (0).
Step 2
Why this answer is correct
The correct answer is A. (1). (p(2)=4a+8-12=0), so (4a=4) and (a=1). When a zero is given, set the polynomial value equal to (0).
Step 3
Exam Tip
(p(2)=4a+8-12=0), इसलिए (4a=4) और (a=1)। शून्य दिए होने पर बहुपद का मान (0) रखें।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=cx+d) और \(c\ne0\), तो इसका शून्य क्या होगा?
If (p(x)=cx+d) and \(c\ne0\), what will be its zero?
#linear zero
#general form
#formula
A \(\frac{d}{c}\)
B \(-\frac{d}{c}\)
C (cd)
D (c-d)
Explanation opens after your attempt
Correct Answer
B. \(-\frac{d}{c}\)
Step 1
Concept
From (cx+d=0), we get \(x=-\frac{d}{c}\). Remember the negative sign in the formula.
Step 2
Why this answer is correct
The correct answer is B. \(-\frac{d}{c}\). From (cx+d=0), we get \(x=-\frac{d}{c}\). Remember the negative sign in the formula.
Step 3
Exam Tip
(cx+d=0) से \(x=-\frac{d}{c}\) मिलता है। सूत्र में ऋण चिह्न ध्यान रखें।
Login to save your score, XP, coins and progress. Login
(p(x)=4x+20) का शून्य कौन सा है?
Which is the zero of (p(x)=4x+20)?
#linear polynomial
#zero
#solution
A (5)
B (-5)
C (4)
D (-4)
Explanation opens after your attempt
Step 1
Concept
From (4x+20=0), we get (x=-5). A zero is the value that makes the polynomial equal to (0).
Step 2
Why this answer is correct
The correct answer is B. (-5). From (4x+20=0), we get (x=-5). A zero is the value that makes the polynomial equal to (0).
Step 3
Exam Tip
(4x+20=0) से (x=-5) मिलता है। शून्य वह मान है जिससे बहुपद (0) हो जाए।
Login to save your score, XP, coins and progress. Login
(p(x)=9x-27) का शून्य क्या है?
What is the zero of (p(x)=9x-27)?
#linear zero
#equation
#polynomial
A (2)
B (3)
C (9)
D (27)
Explanation opens after your attempt
Step 1
Concept
From (9x-27=0), we get (x=3). Find the zero of a linear polynomial by solving the equation.
Step 2
Why this answer is correct
The correct answer is B. (3). From (9x-27=0), we get (x=3). Find the zero of a linear polynomial by solving the equation.
Step 3
Exam Tip
(9x-27=0) से (x=3) मिलता है। रैखिक बहुपद का शून्य समीकरण हल करके निकालें।
Login to save your score, XP, coins and progress. Login
किस मान के लिए \(x^2-6x+m\) में (x=2) शून्य होगा?
For what value of (m) will (x=2) be a zero of \(x^2-6x+m\)?
#zero
#parameter
#quadratic
A (6)
B (8)
C (10)
D (12)
Explanation opens after your attempt
Step 1
Concept
(4-12+m=0), so (m=8). When a zero is given, set the polynomial value equal to (0).
Step 2
Why this answer is correct
The correct answer is B. (8). (4-12+m=0), so (m=8). When a zero is given, set the polynomial value equal to (0).
Step 3
Exam Tip
(4-12+m=0), इसलिए (m=8)। शून्य दिए होने पर बहुपद का मान (0) रखें।
Login to save your score, XP, coins and progress. Login
(x=-3) किस बहुपद का शून्य है?
For which polynomial is (x=-3) a zero?
#zero
#linear polynomial
#evaluation
A (p(x)=x+3)
B (p(x)=x-3)
C (p(x)=3x+1)
D (p(x)=x-2 +3)
Explanation opens after your attempt
Correct Answer
A. (p(x)=x+3)
Step 1
Concept
(p(-3)=-3+3=0), so (x=-3) is its zero. To test a zero, substitute the value and check for (0).
Step 2
Why this answer is correct
The correct answer is A. (p(x)=x+3). (p(-3)=-3+3=0), so (x=-3) is its zero. To test a zero, substitute the value and check for (0).
Step 3
Exam Tip
(p(-3)=-3+3=0), इसलिए (x=-3) इसका शून्य है। शून्य जांचने के लिए मान रखकर परिणाम (0) देखें।
Login to save your score, XP, coins and progress. Login
निम्न में से कौन सा कथन शून्य बहुपद के लिए सही है?
Which statement is correct for the zero polynomial?
#zero-polynomial
#degree
#concept
A इसकी घात (0) होती है / Its degree is (0)
B इसकी घात (1) होती है / Its degree is (1)
C इसकी घात परिभाषित नहीं होती / Its degree is not defined
D यह बहुपद नहीं है / It is not a polynomial
Explanation opens after your attempt
Correct Answer
C. इसकी घात परिभाषित नहीं होती / Its degree is not defined
Step 1
Concept
The degree of the zero polynomial is not defined. A non-zero constant polynomial has degree (0).
Step 2
Why this answer is correct
The correct answer is C. इसकी घात परिभाषित नहीं होती / Its degree is not defined. The degree of the zero polynomial is not defined. A non-zero constant polynomial has degree (0).
Step 3
Exam Tip
शून्य बहुपद की घात परिभाषित नहीं होती। गैर-शून्य नियत बहुपद की घात (0) होती है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 +px+16) और (4) इसका शून्य है, तो (p) का मान क्या है?
If (4) is a zero of (p(x)=x-2 +px+16), what is the value of (p)?
#zero
#parameter
#quadratic
A (-8)
B (-4)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
\(4^2+4p+16=0\) gives (32+4p=0). Therefore (p=-8).
Step 2
Why this answer is correct
The correct answer is A. (-8). \(4^2+4p+16=0\) gives (32+4p=0). Therefore (p=-8).
Step 3
Exam Tip
\(4^2+4p+16=0\) से (32+4p=0) मिलता है। इसलिए (p=-8) है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -9), तो कौन सी संख्या (p(x)) का शून्य नहीं है?
If (p(x)=x-2 -9), which number is not a zero of (p(x))?
#zero-of-polynomial
#quadratic
#checking
A (3)
B (-3)
C (0)
D इनमें से कोई नहीं / None of these
Explanation opens after your attempt
Step 1
Concept
(p(0)=02 -9=-9), which is not (0). So (0) is not a zero.
Step 2
Why this answer is correct
The correct answer is C. (0). (p(0)=02 -9=-9), which is not (0). So (0) is not a zero.
Step 3
Exam Tip
(p(0)=02 -9=-9) है जो (0) नहीं है। इसलिए (0) शून्य नहीं है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=kx+12) का शून्य (3) है, तो (k) का मान क्या है?
If (3) is a zero of (p(x)=kx+12), what is the value of (k)?
#linear-polynomial
#zero
#parameter
A (4)
B (-4)
C (9)
D (-9)
Explanation opens after your attempt
Step 1
Concept
From (p(3)=0), we get (3k+12=0). Therefore (k=-4).
Step 2
Why this answer is correct
The correct answer is B. (-4). From (p(3)=0), we get (3k+12=0). Therefore (k=-4).
Step 3
Exam Tip
(p(3)=0) से (3k+12=0) मिलता है। इसलिए (k=-4) है।
Login to save your score, XP, coins and progress. Login
यदि (f(x)=x-2 +2x-8), तो निम्न में से कौन (f(x)) का शून्य है?
If (f(x)=x-2 +2x-8), which of the following is a zero of (f(x))?
#zero-of-polynomial
#substitution
#quadratic
A (4)
B (2)
C (1)
D (-1)
Explanation opens after your attempt
Step 1
Concept
(f(2)=4+4-8=0). Therefore (2) is a zero of this polynomial.
Step 2
Why this answer is correct
The correct answer is B. (2). (f(2)=4+4-8=0). Therefore (2) is a zero of this polynomial.
Step 3
Exam Tip
(f(2)=4+4-8=0) है। इसलिए (2) इस बहुपद का शून्य है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=3x-2 +bx-10) में (x=2) एक शून्य है, तो (b) का मान क्या होगा?
If (x=2) is a zero of (p(x)=3x-2 +bx-10), what will be the value of (b)?
#zero
#parameter
#quadratic polynomial
A (-1)
B (-2)
C (1)
D (2)
Explanation opens after your attempt
Step 1
Concept
(p(2)=12+2b-10=0), so (2b=-2) and (b=-1). When a zero is given, set the polynomial value equal to (0).
Step 2
Why this answer is correct
The correct answer is A. (-1). (p(2)=12+2b-10=0), so (2b=-2) and (b=-1). When a zero is given, set the polynomial value equal to (0).
Step 3
Exam Tip
(p(2)=12+2b-10=0), इसलिए (2b=-2) और (b=-1)। शून्य दिए होने पर बहुपद का मान (0) रखें।
Login to save your score, XP, coins and progress. Login
