Question 1/13
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
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.
Question 2/13
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
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।
Login to save your score, XP, coins and progress.
Question 3/13
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
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.
Question 4/13
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
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।
Login to save your score, XP, coins and progress.
Question 5/13
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
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।
Login to save your score, XP, coins and progress.
Question 6/13
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
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।
Login to save your score, XP, coins and progress.
Question 7/13
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
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।
Login to save your score, XP, coins and progress.
Question 8/13
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
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।
Login to save your score, XP, coins and progress.
Question 9/13
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
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।
Login to save your score, XP, coins and progress.
Question 10/13
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
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।
Login to save your score, XP, coins and progress.
Question 11/13
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
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।
Login to save your score, XP, coins and progress.
Question 12/13
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
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।
Login to save your score, XP, coins and progress.
Question 13/13
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
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।
Login to save your score, XP, coins and progress.
