यदि ग्राफ पर (\left\(7,-3\right\)) को गलती से (\left\(-3,7\right\)) पढ़ लिया जाए, तो गलती किस प्रकार की है?
If (\left\(7,-3\right\)) is mistakenly read as (\left\(-3,7\right\)) on a graph, what type of mistake is it?
#common mistake
#coordinates
#graph reading
A चिह्न और निर्देशांक क्रम की गलती / Error of sign and coordinate order
B केवल पैमाने की गलती / Only scale error
C रेखाओं को समांतर मानने की गलती / Error of treating lines as parallel
D अवरोध निकालने की गलती / Error in finding intercept
Explanation opens after your attempt
Correct Answer
A. चिह्न और निर्देशांक क्रम की गलती / Error of sign and coordinate order
Step 1
Concept
In (\left\(7,-3\right\)), (x=7) and (y=-3). Reversing coordinates and changing sign makes the answer wrong.
Step 2
Why this answer is correct
The correct answer is A. चिह्न और निर्देशांक क्रम की गलती / Error of sign and coordinate order. In (\left\(7,-3\right\)), (x=7) and (y=-3). Reversing coordinates and changing sign makes the answer wrong.
Step 3
Exam Tip
बिंदु (\left\(7,-3\right\)) में (x=7) और (y=-3) है। निर्देशांक उलटने और चिह्न बदलने से उत्तर गलत हो जाता है।
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यदि ग्राफ पर प्रतिच्छेद बिंदु (\left\(-\frac{5}{2},3\right\)) है, तो सही हल क्या है?
If the intersection point on the graph is (\left\(-\frac{5}{2},3\right\)), what is the correct solution?
#graph reading
#negative fraction
#coordinates
A \(x=3,\ y=-\frac{5}{2}\)
B \(x=-\frac{5}{2},\ y=3\)
C \(x=\frac{5}{2},\ y=-3\)
D \(x=-3,\ y=\frac{5}{2}\)
Explanation opens after your attempt
Correct Answer
B. \(x=-\frac{5}{2},\ y=3\)
Step 1
Concept
The first coordinate of a point is (x) and the second is (y). Do not change order while reading negative fraction coordinates.
Step 2
Why this answer is correct
The correct answer is B. \(x=-\frac{5}{2},\ y=3\). The first coordinate of a point is (x) and the second is (y). Do not change order while reading negative fraction coordinates.
Step 3
Exam Tip
बिंदु में पहला निर्देशांक (x) और दूसरा (y) होता है। ऋण भिन्न निर्देशांक पढ़ते समय क्रम न बदलें।
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यदि ग्राफ पर (\left\(6,-2\right\)) को गलती से (\left\(-2,6\right\)) पढ़ लिया जाए, तो गलती किस प्रकार की है?
If (\left\(6,-2\right\)) is mistakenly read as (\left\(-2,6\right\)) on a graph, what type of mistake is it?
#common mistake
#coordinates
#graph reading
A चिह्न और निर्देशांक क्रम की गलती / Error of sign and coordinate order
B केवल पैमाने की गलती / Only scale error
C रेखाओं को समांतर मानने की गलती / Error of treating lines as parallel
D अवरोध निकालने की गलती / Error in finding intercept
Explanation opens after your attempt
Correct Answer
A. चिह्न और निर्देशांक क्रम की गलती / Error of sign and coordinate order
Step 1
Concept
In (\left\(6,-2\right\)), (x=6) and (y=-2). Reversing coordinates and changing sign makes the answer wrong.
Step 2
Why this answer is correct
The correct answer is A. चिह्न और निर्देशांक क्रम की गलती / Error of sign and coordinate order. In (\left\(6,-2\right\)), (x=6) and (y=-2). Reversing coordinates and changing sign makes the answer wrong.
Step 3
Exam Tip
बिंदु (\left\(6,-2\right\)) में (x=6) और (y=-2) है। निर्देशांक उलटने से और चिह्न बदलने से उत्तर गलत हो जाता है।
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यदि ग्राफ पर प्रतिच्छेद बिंदु (\left\(-\frac{3}{2},4\right\)) है, तो सही हल क्या है?
If the intersection point on the graph is (\left\(-\frac{3}{2},4\right\)), what is the correct solution?
#graph reading
#negative fraction
#coordinates
A \(x=4,\ y=-\frac{3}{2}\)
B \(x=-\frac{3}{2},\ y=4\)
C \(x=\frac{3}{2},\ y=-4\)
D \(x=-4,\ y=\frac{3}{2}\)
Explanation opens after your attempt
Correct Answer
B. \(x=-\frac{3}{2},\ y=4\)
Step 1
Concept
The first coordinate of a point is (x) and the second is (y). Do not change order while reading negative fraction coordinates.
Step 2
Why this answer is correct
The correct answer is B. \(x=-\frac{3}{2},\ y=4\). The first coordinate of a point is (x) and the second is (y). Do not change order while reading negative fraction coordinates.
Step 3
Exam Tip
बिंदु में पहला निर्देशांक (x) और दूसरा (y) होता है। ऋण भिन्न निर्देशांक पढ़ते समय क्रम न बदलें।
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यदि कोई विद्यार्थी प्रतिच्छेद बिंदु (\left\(7,2\right\)) को (\left\(2,7\right\)) लिखता है, तो मुख्य गलती क्या है?
If a student writes the intersection point (\left\(7,2\right\)) as (\left\(2,7\right\)), what is the main mistake?
#common mistake
#coordinates
#graph reading
A अक्षों को नाम न देना / Not naming axes
B निर्देशांक उलटे लिखना / Writing coordinates in reverse order
C समीकरण सरल न करना / Not simplifying equations
D पैमाना बड़ा लेना / Taking a large scale
Explanation opens after your attempt
Correct Answer
B. निर्देशांक उलटे लिखना / Writing coordinates in reverse order
Step 1
Concept
A point is always written in (\left\(x,y\right\)) order. Reversing coordinates makes the solution wrong.
Step 2
Why this answer is correct
The correct answer is B. निर्देशांक उलटे लिखना / Writing coordinates in reverse order. A point is always written in (\left\(x,y\right\)) order. Reversing coordinates makes the solution wrong.
Step 3
Exam Tip
बिंदु हमेशा (\left\(x,y\right\)) क्रम में लिखा जाता है। निर्देशांक उलटे करने से हल गलत हो जाता है।
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यदि विद्यार्थी ( (9,4) ) को ( (4,9) ) लिख देता है, तो मुख्य गलती क्या है?
If a student writes ( (9,4) ) as ( (4,9) ), what is the main mistake?
#common mistake
#coordinates
#graph reading
A अक्षों को नाम न देना / Not naming axes
B निर्देशांक उलटे लिखना / Writing coordinates in reverse order
C रेखा न खींचना / Not drawing the line
D पैमाना सही लेना / Taking correct scale
Explanation opens after your attempt
Correct Answer
B. निर्देशांक उलटे लिखना / Writing coordinates in reverse order
Step 1
Concept
A point is always written in ( (x,y) ) order. Reversing coordinates can make the solution wrong.
Step 2
Why this answer is correct
The correct answer is B. निर्देशांक उलटे लिखना / Writing coordinates in reverse order. A point is always written in ( (x,y) ) order. Reversing coordinates can make the solution wrong.
Step 3
Exam Tip
बिंदु हमेशा ( (x,y) ) क्रम में लिखा जाता है। निर्देशांक उलटे लिखने से हल गलत हो सकता है।
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यदि ग्राफ पर प्रतिच्छेद बिंदु ( (15,2) ) है, तो (x) का मान क्या है?
If the intersection point on the graph is ( (15,2) ), what is the value of (x)?
#coordinates
#graphical solution
#graph reading
A (2)
B (13)
C (17)
D (15)
Explanation opens after your attempt
Step 1
Concept
In the point ( (15,2) ), the first coordinate is (x). Therefore, (x=15).
Step 2
Why this answer is correct
The correct answer is D. (15). In the point ( (15,2) ), the first coordinate is (x). Therefore, (x=15).
Step 3
Exam Tip
बिंदु ( (15,2) ) में पहला निर्देशांक (x) होता है। इसलिए (x=15) है।
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यदि ग्राफ पर प्रतिच्छेद बिंदु ( (7,13) ) है, तो (y) का मान क्या है?
If the intersection point on the graph is ( (7,13) ), what is the value of (y)?
#coordinates
#graph reading
#solution
A (7)
B (20)
C (13)
D (6)
Explanation opens after your attempt
Step 1
Concept
In the point ( (7,13) ), the second coordinate is (y). Therefore, (y=13).
Step 2
Why this answer is correct
The correct answer is C. (13). In the point ( (7,13) ), the second coordinate is (y). Therefore, (y=13).
Step 3
Exam Tip
बिंदु ( (7,13) ) में दूसरा निर्देशांक (y) होता है। इसलिए (y=13) है।
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यदि दो रेखाओं का सामान्य बिंदु ( (4,6) ) है, तो ग्राफीय हल क्या होगा?
If the common point of two lines is ( (4,6) ), what will be the graphical solution?
#graphical method
#solution
#coordinates
A (x=4,\ y=6)
B (x=6,\ y=4)
C (x=4,\ y=4)
D (x=6,\ y=6)
Explanation opens after your attempt
Correct Answer
A. (x=4,\ y=6)
Step 1
Concept
The coordinates of the common point are the solution. Always write the answer in the order (x,y).
Step 2
Why this answer is correct
The correct answer is A. (x=4,\ y=6). The coordinates of the common point are the solution. Always write the answer in the order (x,y).
Step 3
Exam Tip
सामान्य बिंदु के निर्देशांक ही हल होते हैं। उत्तर हमेशा (x,y) के क्रम में लिखें।
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यदि एक विद्यार्थी ( (5,3) ) को ( (3,5) ) पढ़ता है, तो गलती क्या है?
If a student reads ( (5,3) ) as ( (3,5) ), what is the mistake?
#common mistake
#coordinates
#graph reading
A अक्षों को नाम न देना / Not naming axes
B निर्देशांक उलटे पढ़ना / Reading coordinates in reverse order
C रेखा न खींचना / Not drawing the line
D पैमाना सही लेना / Taking correct scale
Explanation opens after your attempt
Correct Answer
B. निर्देशांक उलटे पढ़ना / Reading coordinates in reverse order
Step 1
Concept
A point is read in ( (x,y) ) order. Reversing the coordinates makes the solution wrong.
Step 2
Why this answer is correct
The correct answer is B. निर्देशांक उलटे पढ़ना / Reading coordinates in reverse order. A point is read in ( (x,y) ) order. Reversing the coordinates makes the solution wrong.
Step 3
Exam Tip
बिंदु ( (x,y) ) क्रम में पढ़ा जाता है। निर्देशांक उलटे करने से हल गलत हो जाता है।
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यदि ग्राफ पर प्रतिच्छेद बिंदु ( (12,1) ) है, तो (x) का मान क्या है?
If the intersection point on the graph is ( (12,1) ), what is the value of (x)?
#coordinates
#graphical solution
#graph reading
A (1)
B (11)
C (13)
D (12)
Explanation opens after your attempt
Step 1
Concept
In the point ( (12,1) ), the first coordinate is (x). Therefore, (x=12).
Step 2
Why this answer is correct
The correct answer is D. (12). In the point ( (12,1) ), the first coordinate is (x). Therefore, (x=12).
Step 3
Exam Tip
बिंदु ( (12,1) ) में पहला निर्देशांक (x) होता है। इसलिए (x=12) है।
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यदि ग्राफ पर प्रतिच्छेद बिंदु ( (3,10) ) है, तो (y) का मान क्या है?
If the intersection point on the graph is ( (3,10) ), what is the value of (y)?
#coordinates
#graph reading
#solution
A (3)
B (13)
C (10)
D (7)
Explanation opens after your attempt
Step 1
Concept
In the point ( (3,10) ), the second coordinate is (y). Therefore, (y=10).
Step 2
Why this answer is correct
The correct answer is C. (10). In the point ( (3,10) ), the second coordinate is (y). Therefore, (y=10).
Step 3
Exam Tip
बिंदु ( (3,10) ) में दूसरा निर्देशांक (y) होता है। इसलिए (y=10) है।
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यदि दो रेखाएँ ( (6,2) ) पर मिलती हैं, तो समीकरण युग्म का हल क्या है?
If two lines meet at ( (6,2) ), what is the solution of the pair of equations?
#intersection point
#solution
#coordinates
A (x=2,\ y=6)
B (x=6,\ y=6)
C (x=2,\ y=2)
D (x=6,\ y=2)
Explanation opens after your attempt
Correct Answer
D. (x=6,\ y=2)
Step 1
Concept
The coordinates of the intersection point are the solution. Therefore, (x=6) and (y=2) are correct.
Step 2
Why this answer is correct
The correct answer is D. (x=6,\ y=2). The coordinates of the intersection point are the solution. Therefore, (x=6) and (y=2) are correct.
Step 3
Exam Tip
प्रतिच्छेद बिंदु के निर्देशांक ही हल होते हैं। इसलिए (x=6) और (y=2) सही है।
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ग्राफीय विधि में समीकरण युग्म का हल किस रूप में प्राप्त होता है?
In graphical method, the solution of a pair of equations is obtained in which form?
#graphical method
#solution
#coordinates
A बिंदु के निर्देशांक / Coordinates of a point
B रेखा की लंबाई / Length of a line
C कोण का माप / Measure of an angle
D क्षेत्रफल का मान / Value of area
Explanation opens after your attempt
Correct Answer
A. बिंदु के निर्देशांक / Coordinates of a point
Step 1
Concept
The solution is the coordinates of the common point where both lines meet. In exams, always write the point in ( (x,y) ) order.
Step 2
Why this answer is correct
The correct answer is A. बिंदु के निर्देशांक / Coordinates of a point. The solution is the coordinates of the common point where both lines meet. In exams, always write the point in ( (x,y) ) order.
Step 3
Exam Tip
हल उस सामान्य बिंदु के निर्देशांक होते हैं जहाँ दोनों रेखाएँ मिलती हैं। परीक्षा में बिंदु को हमेशा ( (x,y) ) क्रम में लिखें।
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यदि दो रेखाएँ ( (5,2) ) पर कटती हैं, तो (y) का मान क्या होगा?
If two lines intersect at ( (5,2) ), what will be the value of (y)?
#linear equations
#coordinates
#solution from graph
#easy
A (2)
B (5)
C (7)
D (0)
Explanation opens after your attempt
Step 1
Concept
In the point ( (5,2) ), the second coordinate is (y). Therefore, (y=2).
Step 2
Why this answer is correct
The correct answer is A. (2). In the point ( (5,2) ), the second coordinate is (y). Therefore, (y=2).
Step 3
Exam Tip
बिंदु ( (5,2) ) में दूसरा निर्देशांक (y) होता है। इसलिए (y=2)।
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यदि दो रेखाएँ ( (1,2) ) पर मिलती हैं, तो (x) का मान क्या है?
If two lines meet at ( (1,2) ), what is the value of (x)?
#linear equations
#coordinates
#graph reading
#easy
A (1)
B (2)
C (3)
D (0)
Explanation opens after your attempt
Step 1
Concept
In the point ( (1,2) ), the first coordinate is (x). Therefore, (x=1).
Step 2
Why this answer is correct
The correct answer is A. (1). In the point ( (1,2) ), the first coordinate is (x). Therefore, (x=1).
Step 3
Exam Tip
बिंदु ( (1,2) ) में पहला निर्देशांक (x) होता है। इसलिए (x=1)।
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यदि दो रेखाओं का प्रतिच्छेद बिंदु ( (2,4) ) है, तो समीकरण युग्म का हल क्या होगा?
If the point of intersection of two lines is ( (2,4) ), what is the solution of the pair of equations?
#linear equations
#coordinates
#solution from graph
#easy
A (x=2,\ y=4)
B (x=4,\ y=2)
C (x=2,\ y=2)
D (x=4,\ y=4)
Explanation opens after your attempt
Correct Answer
A. (x=2,\ y=4)
Step 1
Concept
The coordinates of the intersection point are the values of (x) and (y). Therefore, the solution is (x=2,\ y=4).
Step 2
Why this answer is correct
The correct answer is A. (x=2,\ y=4). The coordinates of the intersection point are the values of (x) and (y). Therefore, the solution is (x=2,\ y=4).
Step 3
Exam Tip
प्रतिच्छेद बिंदु के निर्देशांक ही (x) और (y) के मान होते हैं। इसलिए हल (x=2,\ y=4) है।
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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।
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यदि ग्राफ के (x)-अक्ष कटान ((s-4 ,0)), ((s+1,0)), ((s+7,0)) हैं, तो शून्यकों का माध्य क्या है?
If the (x)-axis intersections of a graph are ((s-4 ,0)), ((s+1,0)), ((s+7,0)), what is the mean of the zeroes?
#symbolic mean
#zeroes
#coordinates
A \(s+\frac{4}{3}\)
B (3s+4)
C (s-4 )
D (s+7)
Explanation opens after your attempt
Correct Answer
A. \(s+\frac{4}{3}\)
Step 1
Concept
The mean is (\frac{(s-4 )+(s+1)+(s+7)}{3}=s+\frac{4}{3}). Tip: take the average even for symbolic zeroes.
Step 2
Why this answer is correct
The correct answer is A. \(s+\frac{4}{3}\). The mean is (\frac{(s-4 )+(s+1)+(s+7)}{3}=s+\frac{4}{3}). Tip: take the average even for symbolic zeroes.
Step 3
Exam Tip
माध्य (\frac{(s-4 )+(s+1)+(s+7)}{3}=s+\frac{4}{3}) है। टिप: प्रतीकात्मक शून्यकों में भी औसत लें।
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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।
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यदि ग्राफ के (x)-अक्ष कटान ((r-1,0)), ((r+2,0)), ((r+5,0)) हैं, तो शून्यकों का माध्य क्या है?
If the (x)-axis intersections of a graph are ((r-1,0)), ((r+2,0)), ((r+5,0)), what is the mean of the zeroes?
#symbolic mean
#zeroes
#coordinates
A (r+2)
B (3r+6)
C (r-2)
D (r+5)
Explanation opens after your attempt
Step 1
Concept
The mean is (\frac{(r-1)+(r+2)+(r+5)}{3}=r+2). Tip: take the average even for symbolic zeroes.
Step 2
Why this answer is correct
The correct answer is A. (r+2). The mean is (\frac{(r-1)+(r+2)+(r+5)}{3}=r+2). Tip: take the average even for symbolic zeroes.
Step 3
Exam Tip
माध्य (\frac{(r-1)+(r+2)+(r+5)}{3}=r+2) है। टिप: प्रतीकात्मक शून्यकों में भी औसत लें।
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यदि ग्राफ के शून्यक (-6), (2), (9) हैं तो (x)-अक्ष कटान बिंदुओं का सही समूह कौन सा है?
If the zeroes of a graph are (-6), (2), (9), which is the correct set of (x)-axis intersection points?
#zeroes to points
#graph
#coordinates
A ((0,-6)), ((0,2)), ((0,9))
B ((-6,0)), ((2,0)), ((9,0))
C ((-6,2)), ((2,9)), ((9,-6))
D ((6,0)), ((-2,0)), ((-9,0))
Explanation opens after your attempt
Correct Answer
B. ((-6,0)), ((2,0)), ((9,0))
Step 1
Concept
A zero (r) gives the point ((r,0)). Tip: write the zero as the first coordinate.
Step 2
Why this answer is correct
The correct answer is B. ((-6,0)), ((2,0)), ((9,0)). A zero (r) gives the point ((r,0)). Tip: write the zero as the first coordinate.
Step 3
Exam Tip
शून्यक (r) का बिंदु ((r,0)) होता है। टिप: शून्यक को पहले निर्देशांक में लिखें।
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यदि ग्राफ के (x)-अक्ष कटान ((m,0)), ((n,0)), ((r,0)) हैं तो शून्यकों का माध्य क्या होगा?
If the (x)-axis intersections of a graph are ((m,0)), ((n,0)), ((r,0)), what will be the mean of the zeroes?
#symbolic zeroes
#mean
#coordinates
A (m+n+r)
B \(\frac{m+n+r}{3}\)
C (mnr)
D (0)
Explanation opens after your attempt
Correct Answer
B. \(\frac{m+n+r}{3}\)
Step 1
Concept
The zeroes are (m), (n), (r), so the mean is \(\frac{m+n+r}{3}\). Tip: take the first coordinate even in symbolic points.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{m+n+r}{3}\). The zeroes are (m), (n), (r), so the mean is \(\frac{m+n+r}{3}\). Tip: take the first coordinate even in symbolic points.
Step 3
Exam Tip
शून्यक (m), (n), (r) हैं इसलिए माध्य \(\frac{m+n+r}{3}\) है। टिप: प्रतीकात्मक बिंदुओं में भी पहला निर्देशांक लें।
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यदि ग्राफ के शून्यक (-4), (1), (8) हैं, तो (x)-अक्ष कटान बिंदुओं का सही समूह कौन सा है?
If the zeroes of a graph are (-4), (1), (8), which is the correct set of (x)-axis intersection points?
#zeroes to points
#graph
#coordinates
A ((0,-4)), ((0,1)), ((0,8))
B ((-4,0)), ((1,0)), ((8,0))
C ((-4,1)), ((1,8)), ((8,-4))
D ((4,0)), ((-1,0)), ((-8,0))
Explanation opens after your attempt
Correct Answer
B. ((-4,0)), ((1,0)), ((8,0))
Step 1
Concept
A zero (r) gives the point ((r,0)). Tip: write the zero as the first coordinate.
Step 2
Why this answer is correct
The correct answer is B. ((-4,0)), ((1,0)), ((8,0)). A zero (r) gives the point ((r,0)). Tip: write the zero as the first coordinate.
Step 3
Exam Tip
शून्यक (r) का बिंदु ((r,0)) होता है। टिप: शून्यक को पहले निर्देशांक में लिखें।
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यदि ग्राफ के (x)-अक्ष कटान ((a,0)), ((b,0)), ((c,0)) हैं, तो शून्यकों का गुणनफल क्या होगा?
If the (x)-axis intersections of a graph are ((a,0)), ((b,0)), ((c,0)), what will be the product of the zeroes?
#symbolic zeroes
#product
#coordinates
A (a+b+c)
B (abc)
C (0)
D (ab+c)
Explanation opens after your attempt
Step 1
Concept
The zeroes are (a), (b), (c), so their product is (abc). Tip: even in symbolic points, the first coordinate is the zero.
Step 2
Why this answer is correct
The correct answer is B. (abc). The zeroes are (a), (b), (c), so their product is (abc). Tip: even in symbolic points, the first coordinate is the zero.
Step 3
Exam Tip
शून्यक (a), (b), (c) हैं, इसलिए गुणनफल (abc) है। टिप: प्रतीकात्मक बिंदु में भी पहला निर्देशांक शून्यक है।
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यदि किसी ग्राफ पर शून्यक (-2), (3), (7) हैं, तो (x)-अक्ष कटान बिंदुओं का सही समूह कौन सा है?
If a graph has zeroes (-2), (3), (7), which is the correct set of (x)-axis intersection points?
#zeroes to points
#graph
#coordinates
A ((0,-2)), ((0,3)), ((0,7))
B ((-2,0)), ((3,0)), ((7,0))
C ((-2,3)), ((3,7)), ((7,-2))
D ((2,0)), ((-3,0)), ((-7,0))
Explanation opens after your attempt
Correct Answer
B. ((-2,0)), ((3,0)), ((7,0))
Step 1
Concept
A zero (a) gives the intersection point ((a,0)). Tip: write the zero as the first coordinate.
Step 2
Why this answer is correct
The correct answer is B. ((-2,0)), ((3,0)), ((7,0)). A zero (a) gives the intersection point ((a,0)). Tip: write the zero as the first coordinate.
Step 3
Exam Tip
शून्यक (a) का कटान बिंदु ((a,0)) होता है। टिप: शून्यक को पहले निर्देशांक में लिखें।
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यदि किसी बहुपद के ग्राफ के (x)-अक्ष कटान ((r,0)), ((s,0)), ((t,0)) हैं, तो शून्यकों का योग क्या होगा?
If the (x)-axis intersections of a polynomial graph are ((r,0)), ((s,0)), ((t,0)), what will be the sum of the zeroes?
#symbolic zeroes
#sum
#coordinates
A (r+s+t)
B (rst)
C (0)
D (r-s+t)
Explanation opens after your attempt
Correct Answer
A. (r+s+t)
Step 1
Concept
The zeroes are the first coordinates (r), (s), (t). Tip: read the first coordinate even in symbolic points.
Step 2
Why this answer is correct
The correct answer is A. (r+s+t). The zeroes are the first coordinates (r), (s), (t). Tip: read the first coordinate even in symbolic points.
Step 3
Exam Tip
शून्यक पहले निर्देशांक (r), (s), (t) हैं। टिप: प्रतीकात्मक बिंदुओं में भी पहला निर्देशांक पढ़ें।
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यदि किसी बहुपद का ग्राफ (x)-अक्ष को ((-4,0)), ((2,0)), ((9,0)) पर काटता है, तो इन शून्यकों का गुणनफल क्या है?
If a polynomial graph cuts the (x)-axis at ((-4,0)), ((2,0)), ((9,0)), what is the product of these zeroes?
#product of zeroes
#coordinates
#graph
A (72)
B (-72)
C (7)
D (-11)
Explanation opens after your attempt
Step 1
Concept
The zeroes are (-4), (2), (9), and their product is (-72). Tip: multiply only the (x)-coordinates.
Step 2
Why this answer is correct
The correct answer is B. (-72). The zeroes are (-4), (2), (9), and their product is (-72). Tip: multiply only the (x)-coordinates.
Step 3
Exam Tip
शून्यक (-4), (2), (9) हैं और गुणनफल (-72) है। टिप: केवल (x)-निर्देशांकों को गुणा करें।
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यदि (p(x)) का ग्राफ (x)-अक्ष को ((u,0)), ((v,0)), और ((w,0)) पर काटता है, तो शून्यक कौन-से हैं?
If the graph of (p(x)) cuts the (x)-axis at ((u,0)), ((v,0)), and ((w,0)), what are the zeroes?
#general-zeroes
#coordinates
#x-intercepts
#polynomials
A (u), (v), (w)
B (0), (0), (0)
C (-u), (-v), (-w)
D (u+v+w)
Explanation opens after your attempt
Correct Answer
A. (u), (v), (w)
Step 1
Concept
Zeroes are the (x)-coordinates of the (x)-axis intersections. Therefore the zeroes are (u), (v), and (w).
Step 2
Why this answer is correct
The correct answer is A. (u), (v), (w). Zeroes are the (x)-coordinates of the (x)-axis intersections. Therefore the zeroes are (u), (v), and (w).
Step 3
Exam Tip
शून्यक (x)-अक्ष कटावों के (x)-निर्देशांक होते हैं। इसलिए शून्यक (u), (v), और (w) हैं।
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यदि बहुपद का ग्राफ (x)-अक्ष को ((-7,0)), ((0,0)), और ((4,0)) पर काटता है, तो शून्यक कौन-से हैं?
If the graph of a polynomial cuts the (x)-axis at ((-7,0)), ((0,0)), and ((4,0)), what are the zeroes?
#multiple-zeroes
#x-axis
#coordinates
#easy
A (-7), (0), (4)
B (7), (0), (-4)
C (-7), (4), (7)
D (0), (0), (4)
Explanation opens after your attempt
Correct Answer
A. (-7), (0), (4)
Step 1
Concept
The zeroes are the (x)-coordinates of these points. Hence the zeroes are (-7), (0), and (4).
Step 2
Why this answer is correct
The correct answer is A. (-7), (0), (4). The zeroes are the (x)-coordinates of these points. Hence the zeroes are (-7), (0), and (4).
Step 3
Exam Tip
शून्यक इन बिंदुओं के (x)-निर्देशांक हैं। इसलिए शून्यक (-7), (0), और (4) होंगे।
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