65 results found for "intercepts" in Class 10.
Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि बहुपद (p(x)=2(x-1)(x+4)) है तो ग्राफ के (x)-प्रतिच्छेद कौन से हैं?
If (p(x)=2(x-1)(x+4)), what are the (x)-intercepts of its graph?
#factor-form
#x-intercepts
#quadratic
A ((1,0)) और ((-4,0)) / ((1,0)) and ((-4,0))
B ((-1,0)) और ((4,0)) / ((-1,0)) and ((4,0))
C ((2,0)) और ((-4,0)) / ((2,0)) and ((-4,0))
D ((0,1)) और ((0,-4)) / ((0,1)) and ((0,-4))
Explanation opens after your attempt
Correct Answer
A. ((1,0)) और ((-4,0)) / ((1,0)) and ((-4,0))
Step 1
Concept
Making the factors zero gives (x=1) and (x=-4). Write (x)-intercepts as ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. ((1,0)) और ((-4,0)) / ((1,0)) and ((-4,0)). Making the factors zero gives (x=1) and (x=-4). Write (x)-intercepts as ((x,0)).
Step 3
Exam Tip
गुणनखंड शून्य करने पर (x=1) और (x=-4) मिलते हैं। (x)-प्रतिच्छेद को ((x,0)) रूप में लिखें।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि किसी बहुपद के ग्राफ के (x)-प्रतिच्छेद ((-4,0)), ((1,0)), और ((6,0)) हैं तो शून्यकों का समुच्चय क्या है?
If the (x)-intercepts of a polynomial graph are ((-4,0)), ((1,0)), and ((6,0)), what is the set of zeroes?
#x-intercepts
#set-of-zeroes
#graph
A ({-4,1,6})
B ({0,1,6})
C ({-4,0,6})
D ({-4,1,0})
Explanation opens after your attempt
Correct Answer
A. ({-4,1,6})
Step 1
Concept
A zero is the (x)-coordinate of the intercept point. Do not write (y=0) as the zero.
Step 2
Why this answer is correct
The correct answer is A. ({-4,1,6}). A zero is the (x)-coordinate of the intercept point. Do not write (y=0) as the zero.
Step 3
Exam Tip
शून्यक प्रतिच्छेद बिंदु का (x)-निर्देशांक होता है। (y=0) को शून्यक न लिखें।
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Question
Hard Mathematics
Chapter 2: Polynomials Irrational numbers and real numbers Class 10 Level 27
यदि (p(x)=x-2 -5) है, तो ग्राफ (y=p(x)) (x)-अक्ष को कहाँ काटेगा?
If (p(x)=x-2 -5), where will the graph (y=p(x)) cut the (x)-axis?
#graphical-meaning
#irrational-zeroes
#x-intercepts
A \(x=\pm\sqrt{5}\)
B \(x=\pm5\)
C (x=0)
D \(x=\sqrt{25}\)
Explanation opens after your attempt
Correct Answer
A. \(x=\pm\sqrt{5}\)
Step 1
Concept
On the (x)-axis, (p(x)=0), so \(x^2-5=0\) gives \(x=\pm\sqrt{5}\). The (x)-intercepts are the zeroes.
Step 2
Why this answer is correct
The correct answer is A. \(x=\pm\sqrt{5}\). On the (x)-axis, (p(x)=0), so \(x^2-5=0\) gives \(x=\pm\sqrt{5}\). The (x)-intercepts are the zeroes.
Step 3
Exam Tip
(x)-अक्ष पर (p(x)=0), इसलिए \(x^2-5=0\) से \(x=\pm\sqrt{5}\) है। ग्राफ में (x)-कट शून्यक होते हैं।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि बहुपद (p(x)=5(x+1)(x-2)(x-4)) है तो ग्राफ (x)-अक्ष को कितने अलग बिंदुओं पर काटेगा?
If (p(x)=5(x+1)(x-2)(x-4)), at how many distinct points will the graph cut the (x)-axis?
#cubic
#factor-form
#distinct-intercepts
A तीन / Three
B दो / Two
C एक / One
D पाँच / Five
Explanation opens after your attempt
Correct Answer
A. तीन / Three
Step 1
Concept
The factors give zeroes (-1), (2), and (4). Three distinct zeroes give three distinct (x)-intercepts.
Step 2
Why this answer is correct
The correct answer is A. तीन / Three. The factors give zeroes (-1), (2), and (4). Three distinct zeroes give three distinct (x)-intercepts.
Step 3
Exam Tip
गुणनखंडों से शून्यक (-1), (2), और (4) हैं। तीन अलग शून्यक तीन अलग (x)-प्रतिच्छेद देते हैं।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
किसी बहुपद का ग्राफ (x)-अक्ष को केवल सम संख्याओं (-4), (2), और (8) पर काटता है। शून्यकों की संख्या क्या है?
A polynomial graph cuts the (x)-axis only at the even numbers (-4), (2), and (8). What is the number of zeroes?
#counting-zeroes
#graph
#integer-zeroes
A तीन / Three
B दो / Two
C छह / Six
D एक / One
Explanation opens after your attempt
Correct Answer
A. तीन / Three
Step 1
Concept
Three distinct (x)-intercepts give three zeroes. Count by intersections not by the type of numbers.
Step 2
Why this answer is correct
The correct answer is A. तीन / Three. Three distinct (x)-intercepts give three zeroes. Count by intersections not by the type of numbers.
Step 3
Exam Tip
तीन अलग (x)-प्रतिच्छेद तीन शून्यक देते हैं। संख्या के प्रकार से नहीं बल्कि प्रतिच्छेदों से गिनें।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि (p(x)=x-2 -2x-8) है तो ग्राफ (x)-अक्ष को किन बिंदुओं पर मिलेगा?
If (p(x)=x-2 -2x-8), at which points will the graph meet the (x)-axis?
#quadratic
#numerical
#x-intercepts
A ((-2,0)) और ((4,0)) / ((-2,0)) and ((4,0))
B ((2,0)) और ((-4,0)) / ((2,0)) and ((-4,0))
C ((0,-2)) और ((0,4)) / ((0,-2)) and ((0,4))
D ((-8,0)) और ((1,0)) / ((-8,0)) and ((1,0))
Explanation opens after your attempt
Correct Answer
A. ((-2,0)) और ((4,0)) / ((-2,0)) and ((4,0))
Step 1
Concept
(x-2 -2x-8=(x-4)(x+2)). So the graph meets the (x)-axis at (x=4) and (x=-2).
Step 2
Why this answer is correct
The correct answer is A. ((-2,0)) और ((4,0)) / ((-2,0)) and ((4,0)). (x-2 -2x-8=(x-4)(x+2)). So the graph meets the (x)-axis at (x=4) and (x=-2).
Step 3
Exam Tip
(x-2 -2x-8=(x-4)(x+2)) है। अतः (x=4) और (x=-2) पर ग्राफ (x)-अक्ष से मिलेगा।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
द्विघात (p(x)=x-2 +2x-15) का ग्राफ (x)-अक्ष को किन (x)-मानों पर काटेगा?
At which (x)-values will the graph of (p(x)=x-2 +2x-15) cut the (x)-axis?
#quadratic
#factorisation
#x-intercepts
A (3) और (-5) / (3) and (-5)
B (-3) और (5) / (-3) and (5)
C (5) और (3) / (5) and (3)
D (-5) और (-3) / (-5) and (-3)
Explanation opens after your attempt
Correct Answer
A. (3) और (-5) / (3) and (-5)
Step 1
Concept
(x-2 +2x-15=(x+5)(x-3)). Zeroes are the (x)-values of (x)-axis intersections.
Step 2
Why this answer is correct
The correct answer is A. (3) और (-5) / (3) and (-5). (x-2 +2x-15=(x+5)(x-3)). Zeroes are the (x)-values of (x)-axis intersections.
Step 3
Exam Tip
(x-2 +2x-15=(x+5)(x-3)) है। शून्यक (x)-अक्ष पर कटान के (x)-मान होते हैं।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
ग्राफ (x)-अक्ष को ((-2,0)), ((0,0)), और ((5,0)) पर काटता है। कौन सा कथन सही है?
The graph cuts the (x)-axis at ((-2,0)), ((0,0)), and ((5,0)). Which statement is correct?
#multiple-zeroes
#origin
#cubic
A शून्यक (-2,0,5) हैं / The zeroes are (-2,0,5)
B शून्यक केवल (-2) और (5) हैं / The zeroes are only (-2) and (5)
C शून्यक ((0,0)) नहीं हो सकता / ((0,0)) cannot give a zero
D शून्यकों की संख्या दो है / The number of zeroes is two
Explanation opens after your attempt
Correct Answer
A. शून्यक (-2,0,5) हैं / The zeroes are (-2,0,5)
Step 1
Concept
The origin also lies on the (x)-axis so (0) is also a zero. Write the (x)-values of all intercepts.
Step 2
Why this answer is correct
The correct answer is A. शून्यक (-2,0,5) हैं / The zeroes are (-2,0,5). The origin also lies on the (x)-axis so (0) is also a zero. Write the (x)-values of all intercepts.
Step 3
Exam Tip
मूल बिंदु भी (x)-अक्ष पर है इसलिए (0) भी शून्यक है। सभी (x)-प्रतिच्छेदों के (x)-मान लिखें।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि द्विघात ग्राफ (x)-अक्ष को दो अलग बिंदुओं पर काटता है तो उसके वास्तविक शून्यक कैसे होंगे?
If a quadratic graph cuts the (x)-axis at two distinct points, what kind of real zeroes does it have?
#quadratic
#distinct-real-zeroes
#graph
A दो भिन्न वास्तविक शून्यक / Two distinct real zeroes
B दो समान वास्तविक शून्यक / Two equal real zeroes
C कोई वास्तविक शून्यक नहीं / No real zero
D एक ही शून्यक और एक काल्पनिक शून्यक / One zero and one imaginary zero
Explanation opens after your attempt
Correct Answer
A. दो भिन्न वास्तविक शून्यक / Two distinct real zeroes
Step 1
Concept
Two separate intersections give two distinct real zeroes. Different (x)-intercepts mean different zeroes.
Step 2
Why this answer is correct
The correct answer is A. दो भिन्न वास्तविक शून्यक / Two distinct real zeroes. Two separate intersections give two distinct real zeroes. Different (x)-intercepts mean different zeroes.
Step 3
Exam Tip
दो अलग कटान दो अलग वास्तविक शून्यक देते हैं। ग्राफ में अलग (x)-प्रतिच्छेद अलग शून्यक होते हैं।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि (p(x)=x-2 -9) है तो इसका ग्राफ (x)-अक्ष को किन बिंदुओं पर काटेगा?
If (p(x)=x-2 -9), at which points will its graph cut the (x)-axis?
#polynomials
#x-intercepts
#numerical
A ((-3,0)) और ((3,0)) / ((-3,0)) and ((3,0))
B ((0,-3)) और ((0,3)) / ((0,-3)) and ((0,3))
C ((-9,0)) और ((9,0)) / ((-9,0)) and ((9,0))
D ((0,-9)) और ((0,9)) / ((0,-9)) and ((0,9))
Explanation opens after your attempt
Correct Answer
A. ((-3,0)) और ((3,0)) / ((-3,0)) and ((3,0))
Step 1
Concept
Solving \(x^2-9=0\) gives \(x=\pm3\). Zeroes appear on the (x)-axis as ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. ((-3,0)) और ((3,0)) / ((-3,0)) and ((3,0)). Solving \(x^2-9=0\) gives \(x=\pm3\). Zeroes appear on the (x)-axis as ((x,0)).
Step 3
Exam Tip
\(x^2-9=0\) से \(x=\pm3\) मिलता है। शून्यक हमेशा (x)-अक्ष पर ((x,0)) रूप में दिखते हैं।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि किसी द्विघात बहुपद (p(x)) का ग्राफ (x)-अक्ष को (-2) और (5) पर काटता है तो उसके शून्यकों की संख्या क्या है?
If the graph of a quadratic polynomial (p(x)) cuts the (x)-axis at (-2) and (5), how many zeroes does it have?
#polynomials
#zeroes
#graphical-meaning
A दो / Two
B एक / One
C तीन / Three
D कोई नहीं / None
Explanation opens after your attempt
Step 1
Concept
A zero occurs where the graph meets the (x)-axis. In exams count the (x)-intercepts.
Step 2
Why this answer is correct
The correct answer is A. दो / Two. A zero occurs where the graph meets the (x)-axis. In exams count the (x)-intercepts.
Step 3
Exam Tip
ग्राफ जहाँ (x)-अक्ष को काटता है वही शून्यक होता है। परीक्षा में काटने वाले बिंदुओं की संख्या गिनें।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि किसी ग्राफ के (x)-अक्ष कटान ((-4,0)), ((6,0)), ((16,0)) हैं, तो इनके शून्यकों का माध्य क्या है?
If the (x)-axis intersections of a graph are ((-4,0)), ((6,0)), ((16,0)), what is the mean of their zeroes?
#mean of zeroes
#graph
#intercepts
A (6)
B (18)
C (-6)
D (16)
Explanation opens after your attempt
Step 1
Concept
The mean is \(\frac{-4+6+16}{3}=6\). Tip: first read the (x)-values from intersection points.
Step 2
Why this answer is correct
The correct answer is A. (6). The mean is \(\frac{-4+6+16}{3}=6\). Tip: first read the (x)-values from intersection points.
Step 3
Exam Tip
माध्य \(\frac{-4+6+16}{3}=6\) है। टिप: पहले कटान बिंदुओं से (x)-मान पढ़ें।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-2 -hx) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?
If (p(x)=x-2 -hx), what will be the (x)-axis intersections of the graph?
#symbolic factorization
#intercepts
#zeroes
A ((0,0)) और ((h,0)) / ((0,0)) and ((h,0))
B ((0,0)) और ((-h,0)) / ((0,0)) and ((-h,0))
C ((h,0)) और ((-h,0)) / ((h,0)) and ((-h,0))
D ((0,h)) और ((h,0)) / ((0,h)) and ((h,0))
Explanation opens after your attempt
Correct Answer
A. ((0,0)) और ((h,0)) / ((0,0)) and ((h,0))
Step 1
Concept
(x-2 -hx=x(x-h)), so the zeroes are (0) and (h). Tip: factor out the common (x).
Step 2
Why this answer is correct
The correct answer is A. ((0,0)) और ((h,0)) / ((0,0)) and ((h,0)). (x-2 -hx=x(x-h)), so the zeroes are (0) and (h). Tip: factor out the common (x).
Step 3
Exam Tip
(x-2 -hx=x(x-h)) है, इसलिए शून्यक (0) और (h) हैं। टिप: सामान्य (x) गुणनखंड निकालें।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
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।
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Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-2 -13x-68) है, तो ग्राफ के (x)-अक्ष कटान कौन से हैं?
If (p(x)=x-2 -13x-68), what are the (x)-axis intersections of the graph?
#quadratic factorization
#intercepts
#graph
A ((17,0)) और ((-4,0)) / ((17,0)) and ((-4,0))
B ((-17,0)) और ((4,0)) / ((-17,0)) and ((4,0))
C ((0,17)) और ((0,-4)) / ((0,17)) and ((0,-4))
D ((68,0)) और ((-13,0)) / ((68,0)) and ((-13,0))
Explanation opens after your attempt
Correct Answer
A. ((17,0)) और ((-4,0)) / ((17,0)) and ((-4,0))
Step 1
Concept
(x-2 -13x-68=(x-17)(x+4)), so the zeroes are (17) and (-4). Tip: write intersection points from factors.
Step 2
Why this answer is correct
The correct answer is A. ((17,0)) और ((-4,0)) / ((17,0)) and ((-4,0)). (x-2 -13x-68=(x-17)(x+4)), so the zeroes are (17) and (-4). Tip: write intersection points from factors.
Step 3
Exam Tip
(x-2 -13x-68=(x-17)(x+4)) है, इसलिए शून्यक (17) और (-4) हैं। टिप: गुणनखंडों से कटान बिंदु लिखें।
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Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-2 -(2n+3)x+n(n+3)) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?
If (p(x)=x-2 -(2n+3)x+n(n+3)), what will be the (x)-axis intersections of the graph?
#symbolic factorization
#intercepts
#zeroes
A ((n,0)) और ((n+3,0)) / ((n,0)) and ((n+3,0))
B ((0,n)) और ((0,n+3)) / ((0,n)) and ((0,n+3))
C ((-n,0)) और ((-n-3,0)) / ((-n,0)) and ((-n-3,0))
D ((n,n+3)) और ((n+3,n)) / ((n,n+3)) and ((n+3,n))
Explanation opens after your attempt
Correct Answer
A. ((n,0)) और ((n+3,0)) / ((n,0)) and ((n+3,0))
Step 1
Concept
The polynomial is ((x-n)(x-(n+3))), so the zeroes are (n) and (n+3). Tip: write zeroes as ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. ((n,0)) और ((n+3,0)) / ((n,0)) and ((n+3,0)). The polynomial is ((x-n)(x-(n+3))), so the zeroes are (n) and (n+3). Tip: write zeroes as ((x,0)).
Step 3
Exam Tip
बहुपद ((x-n)(x-(n+3))) है इसलिए शून्यक (n) और (n+3) हैं। टिप: शून्यकों को ((x,0)) में लिखें।
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Question
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि किसी ग्राफ के (x)-अक्ष कटान ((-3,0)), ((5,0)), ((13,0)) हैं, तो इनके शून्यकों का माध्य क्या है?
If the (x)-axis intersections of a graph are ((-3,0)), ((5,0)), ((13,0)), what is the mean of their zeroes?
#mean of zeroes
#graph
#intercepts
A (5)
B (15)
C (-5)
D (13)
Explanation opens after your attempt
Step 1
Concept
The mean is \(\frac{-3+5+13}{3}=5\). Tip: first read the (x)-values from intersection points.
Step 2
Why this answer is correct
The correct answer is A. (5). The mean is \(\frac{-3+5+13}{3}=5\). Tip: first read the (x)-values from intersection points.
Step 3
Exam Tip
माध्य \(\frac{-3+5+13}{3}=5\) है। टिप: पहले कटान बिंदुओं से (x)-मान पढ़ें।
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Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(x)=x-2 -ex) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?
If (p(x)=x-2 -ex), what will be the (x)-axis intersections of the graph?
#symbolic factorization
#intercepts
#zeroes
A ((0,0)) और ((e,0)) / ((0,0)) and ((e,0))
B ((0,0)) और ((-e,0)) / ((0,0)) and ((-e,0))
C ((e,0)) और ((-e,0)) / ((e,0)) and ((-e,0))
D ((0,e)) और ((e,0)) / ((0,e)) and ((e,0))
Explanation opens after your attempt
Correct Answer
A. ((0,0)) और ((e,0)) / ((0,0)) and ((e,0))
Step 1
Concept
(x-2 -ex=x(x-e)), so the zeroes are (0) and (e). Tip: factor out the common (x).
Step 2
Why this answer is correct
The correct answer is A. ((0,0)) और ((e,0)) / ((0,0)) and ((e,0)). (x-2 -ex=x(x-e)), so the zeroes are (0) and (e). Tip: factor out the common (x).
Step 3
Exam Tip
(x-2 -ex=x(x-e)) है, इसलिए शून्यक (0) और (e) हैं। टिप: सामान्य (x) गुणनखंड निकालें।
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Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
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।
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Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(x)=x-2 -9x-52) है, तो ग्राफ के (x)-अक्ष कटान कौन से हैं?
If (p(x)=x-2 -9x-52), what are the (x)-axis intersections of the graph?
#quadratic factorization
#intercepts
#graph
A ((13,0)) और ((-4,0)) / ((13,0)) and ((-4,0))
B ((-13,0)) और ((4,0)) / ((-13,0)) and ((4,0))
C ((0,13)) और ((0,-4)) / ((0,13)) and ((0,-4))
D ((52,0)) और ((-9,0)) / ((52,0)) and ((-9,0))
Explanation opens after your attempt
Correct Answer
A. ((13,0)) और ((-4,0)) / ((13,0)) and ((-4,0))
Step 1
Concept
(x-2 -9x-52=(x-13)(x+4)), so the zeroes are (13) and (-4). Tip: write intersection points from factors.
Step 2
Why this answer is correct
The correct answer is A. ((13,0)) और ((-4,0)) / ((13,0)) and ((-4,0)). (x-2 -9x-52=(x-13)(x+4)), so the zeroes are (13) and (-4). Tip: write intersection points from factors.
Step 3
Exam Tip
(x-2 -9x-52=(x-13)(x+4)) है, इसलिए शून्यक (13) और (-4) हैं। टिप: गुणनखंडों से कटान बिंदु लिखें।
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Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(x)=x-2 -(2m-1)x+m(m-1 )) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?
If (p(x)=x-2 -(2m-1)x+m(m-1 )), what will be the (x)-axis intersections of the graph?
#symbolic factorization
#intercepts
#zeroes
A ((m,0)) और ((m-1 ,0)) / ((m,0)) and ((m-1 ,0))
B ((0,m)) और ((0,m-1 )) / ((0,m)) and ((0,m-1 ))
C ((-m,0)) और ((1-m,0)) / ((-m,0)) and ((1-m,0))
D ((m,m-1 )) और ((m-1 ,m)) / ((m,m-1 )) and ((m-1 ,m))
Explanation opens after your attempt
Correct Answer
A. ((m,0)) और ((m-1 ,0)) / ((m,0)) and ((m-1 ,0))
Step 1
Concept
The polynomial is ((x-m)(x-(m-1 ))), so the zeroes are (m) and (m-1 ). Tip: write zeroes as ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. ((m,0)) और ((m-1 ,0)) / ((m,0)) and ((m-1 ,0)). The polynomial is ((x-m)(x-(m-1 ))), so the zeroes are (m) and (m-1 ). Tip: write zeroes as ((x,0)).
Step 3
Exam Tip
बहुपद ((x-m)(x-(m-1 ))) है, इसलिए शून्यक (m) और (m-1 ) हैं। टिप: शून्यकों को ((x,0)) में लिखें।
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Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि किसी ग्राफ के (x)-अक्ष कटान ((-2,0)), ((4,0)), ((10,0)) हैं तो इनके शून्यकों का माध्य क्या है?
If the (x)-axis intersections of a graph are ((-2,0)), ((4,0)), ((10,0)), what is the mean of their zeroes?
#mean of zeroes
#graph
#intercepts
A (4)
B (12)
C (-4)
D (10)
Explanation opens after your attempt
Step 1
Concept
The mean is \(\frac{-2+4+10}{3}=4\). Tip: first read the (x)-values from intersection points.
Step 2
Why this answer is correct
The correct answer is A. (4). The mean is \(\frac{-2+4+10}{3}=4\). Tip: first read the (x)-values from intersection points.
Step 3
Exam Tip
माध्य \(\frac{-2+4+10}{3}=4\) है। टिप: पहले कटान बिंदुओं से (x)-मान पढ़ें।
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Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि (p(x)=x-2 -cx) है तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?
If (p(x)=x-2 -cx), what will be the (x)-axis intersections of the graph?
#symbolic factorization
#intercepts
#zeroes
A ((0,0)) और ((c,0)) / ((0,0)) and ((c,0))
B ((0,0)) और ((-c,0)) / ((0,0)) and ((-c,0))
C ((c,0)) और ((-c,0)) / ((c,0)) and ((-c,0))
D ((0,c)) और ((c,0)) / ((0,c)) and ((c,0))
Explanation opens after your attempt
Correct Answer
A. ((0,0)) और ((c,0)) / ((0,0)) and ((c,0))
Step 1
Concept
(x-2 -cx=x(x-c)), so the zeroes are (0) and (c). Tip: factor out the common (x).
Step 2
Why this answer is correct
The correct answer is A. ((0,0)) और ((c,0)) / ((0,0)) and ((c,0)). (x-2 -cx=x(x-c)), so the zeroes are (0) and (c). Tip: factor out the common (x).
Step 3
Exam Tip
(x-2 -cx=x(x-c)) है इसलिए शून्यक (0) और (c) हैं। टिप: सामान्य (x) गुणनखंड निकालें।
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Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
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।
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Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि (p(x)=x-2 -8x-33) है तो ग्राफ के (x)-अक्ष कटान कौन से हैं?
If (p(x)=x-2 -8x-33), what are the (x)-axis intersections of the graph?
#quadratic factorization
#intercepts
#graph
A ((11,0)) और ((-3,0)) / ((11,0)) and ((-3,0))
B ((-11,0)) और ((3,0)) / ((-11,0)) and ((3,0))
C ((0,11)) और ((0,-3)) / ((0,11)) and ((0,-3))
D ((33,0)) और ((-8,0)) / ((33,0)) and ((-8,0))
Explanation opens after your attempt
Correct Answer
A. ((11,0)) और ((-3,0)) / ((11,0)) and ((-3,0))
Step 1
Concept
(x-2 -8x-33=(x-11)(x+3)), so the zeroes are (11) and (-3). Tip: form ((x,0)) points from factors.
Step 2
Why this answer is correct
The correct answer is A. ((11,0)) और ((-3,0)) / ((11,0)) and ((-3,0)). (x-2 -8x-33=(x-11)(x+3)), so the zeroes are (11) and (-3). Tip: form ((x,0)) points from factors.
Step 3
Exam Tip
(x-2 -8x-33=(x-11)(x+3)) है इसलिए शून्यक (11) और (-3) हैं। टिप: गुणनखंडों से बिंदु ((x,0)) बनाएं।
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Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि (p(x)=x-2 -(u+v)x+uv) है तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?
If (p(x)=x-2 -(u+v)x+uv), what will be the (x)-axis intersections of the graph?
#symbolic factorization
#intercepts
#zeroes
A ((u,0)) और ((v,0)) / ((u,0)) and ((v,0))
B ((0,u)) और ((0,v)) / ((0,u)) and ((0,v))
C ((-u,0)) और ((-v,0)) / ((-u,0)) and ((-v,0))
D ((u,v)) और ((v,u)) / ((u,v)) and ((v,u))
Explanation opens after your attempt
Correct Answer
A. ((u,0)) और ((v,0)) / ((u,0)) and ((v,0))
Step 1
Concept
It is ((x-u)(x-v)), so the zeroes are (u) and (v). Tip: write each zero as the point ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. ((u,0)) और ((v,0)) / ((u,0)) and ((v,0)). It is ((x-u)(x-v)), so the zeroes are (u) and (v). Tip: write each zero as the point ((x,0)).
Step 3
Exam Tip
यह ((x-u)(x-v)) है इसलिए शून्यक (u) और (v) हैं। टिप: शून्यक को ((x,0)) बिंदु के रूप में लिखें।
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Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि किसी ग्राफ के (x)-अक्ष कटान ((-1,0)), ((3,0)), ((7,0)) हैं, तो इनके शून्यकों का माध्य क्या है?
If the (x)-axis intersections of a graph are ((-1,0)), ((3,0)), ((7,0)), what is the mean of their zeroes?
#mean of zeroes
#graph
#intercepts
A (3)
B (9)
C (-3)
D (7)
Explanation opens after your attempt
Step 1
Concept
The mean is \(\frac{-1+3+7}{3}=3\). Tip: first read the (x)-values from intersection points.
Step 2
Why this answer is correct
The correct answer is A. (3). The mean is \(\frac{-1+3+7}{3}=3\). Tip: first read the (x)-values from intersection points.
Step 3
Exam Tip
माध्य \(\frac{-1+3+7}{3}=3\) है। टिप: पहले कटान बिंदुओं से (x)-मान पढ़ें।
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Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-2 -bx) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?
If (p(x)=x-2 -bx), what will be the (x)-axis intersections of the graph?
#symbolic factorization
#intercepts
#zeroes
A ((0,0)) और ((b,0)) / ((0,0)) and ((b,0))
B ((0,0)) और ((-b,0)) / ((0,0)) and ((-b,0))
C ((b,0)) और ((-b,0)) / ((b,0)) and ((-b,0))
D ((0,b)) और ((b,0)) / ((0,b)) and ((b,0))
Explanation opens after your attempt
Correct Answer
A. ((0,0)) और ((b,0)) / ((0,0)) and ((b,0))
Step 1
Concept
(x-2 -bx=x(x-b)), so the zeroes are (0) and (b). Tip: factor out the common (x).
Step 2
Why this answer is correct
The correct answer is A. ((0,0)) और ((b,0)) / ((0,0)) and ((b,0)). (x-2 -bx=x(x-b)), so the zeroes are (0) and (b). Tip: factor out the common (x).
Step 3
Exam Tip
(x-2 -bx=x(x-b)) है, इसलिए शून्यक (0) और (b) हैं। टिप: सामान्य (x) गुणनखंड निकालें।
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Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
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।
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Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-2 -4x-21) है, तो ग्राफ के (x)-अक्ष कटान कौन से हैं?
If (p(x)=x-2 -4x-21), what are the (x)-axis intersections of the graph?
#quadratic factorization
#intercepts
#graph
A ((7,0)) और ((-3,0)) / ((7,0)) and ((-3,0))
B ((-7,0)) और ((3,0)) / ((-7,0)) and ((3,0))
C ((0,7)) और ((0,-3)) / ((0,7)) and ((0,-3))
D ((21,0)) और ((-4,0)) / ((21,0)) and ((-4,0))
Explanation opens after your attempt
Correct Answer
A. ((7,0)) और ((-3,0)) / ((7,0)) and ((-3,0))
Step 1
Concept
(x-2 -4x-21=(x-7)(x+3)), so the zeroes are (7) and (-3). Tip: form ((x,0)) points from factors.
Step 2
Why this answer is correct
The correct answer is A. ((7,0)) और ((-3,0)) / ((7,0)) and ((-3,0)). (x-2 -4x-21=(x-7)(x+3)), so the zeroes are (7) and (-3). Tip: form ((x,0)) points from factors.
Step 3
Exam Tip
(x-2 -4x-21=(x-7)(x+3)) है, इसलिए शून्यक (7) और (-3) हैं। टिप: गुणनखंडों से बिंदु ((x,0)) बनाएं।
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Question
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-2 -(m+n)x+mn) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?
If (p(x)=x-2 -(m+n)x+mn), what will be the (x)-axis intersections of the graph?
#symbolic factorization
#intercepts
#zeroes
A ((m,0)) और ((n,0)) / ((m,0)) and ((n,0))
B ((0,m)) और ((0,n)) / ((0,m)) and ((0,n))
C ((-m,0)) और ((-n,0)) / ((-m,0)) and ((-n,0))
D ((m,n)) और ((n,m)) / ((m,n)) and ((n,m))
Explanation opens after your attempt
Correct Answer
A. ((m,0)) और ((n,0)) / ((m,0)) and ((n,0))
Step 1
Concept
It is ((x-m)(x-n)), so the zeroes are (m) and (n). Tip: write each zero as ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. ((m,0)) और ((n,0)) / ((m,0)) and ((n,0)). It is ((x-m)(x-n)), so the zeroes are (m) and (n). Tip: write each zero as ((x,0)).
Step 3
Exam Tip
यह ((x-m)(x-n)) है इसलिए शून्यक (m) और (n) हैं। टिप: शून्यक को ((x,0)) में लिखें।
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Question
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(x)=x-2 -ax) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?
If (p(x)=x-2 -ax), what will be the (x)-axis intersections of the graph?
#symbolic factorization
#intercepts
#zeroes
A ((0,0)) और ((a,0)) / ((0,0)) and ((a,0))
B ((0,0)) और ((-a,0)) / ((0,0)) and ((-a,0))
C ((a,0)) और ((-a,0)) / ((a,0)) and ((-a,0))
D ((0,a)) और ((a,0)) / ((0,a)) and ((a,0))
Explanation opens after your attempt
Correct Answer
A. ((0,0)) और ((a,0)) / ((0,0)) and ((a,0))
Step 1
Concept
(x-2 -ax=x(x-a)), so the zeroes are (0) and (a). Tip: factor out the common (x).
Step 2
Why this answer is correct
The correct answer is A. ((0,0)) और ((a,0)) / ((0,0)) and ((a,0)). (x-2 -ax=x(x-a)), so the zeroes are (0) and (a). Tip: factor out the common (x).
Step 3
Exam Tip
(x-2 -ax=x(x-a)), इसलिए शून्यक (0) और (a) हैं। टिप: सामान्य (x) गुणनखंड निकालें।
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Question
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
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।
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Question
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(x)=x-2 +2x-15) है, तो ग्राफ के (x)-अक्ष कटान कौन से हैं?
If (p(x)=x-2 +2x-15), what are the (x)-axis intersections of the graph?
#quadratic factorization
#intercepts
#zeroes
A ((3,0)) और ((-5,0)) / ((3,0)) and ((-5,0))
B ((-3,0)) और ((5,0)) / ((-3,0)) and ((5,0))
C ((0,3)) और ((0,-5)) / ((0,3)) and ((0,-5))
D ((15,0)) और ((2,0)) / ((15,0)) and ((2,0))
Explanation opens after your attempt
Correct Answer
A. ((3,0)) और ((-5,0)) / ((3,0)) and ((-5,0))
Step 1
Concept
(x-2 +2x-15=(x+5)(x-3)), so the zeroes are (-5) and (3). Tip: form points ((x,0)) from factors.
Step 2
Why this answer is correct
The correct answer is A. ((3,0)) और ((-5,0)) / ((3,0)) and ((-5,0)). (x-2 +2x-15=(x+5)(x-3)), so the zeroes are (-5) and (3). Tip: form points ((x,0)) from factors.
Step 3
Exam Tip
(x-2 +2x-15=(x+5)(x-3)), इसलिए शून्यक (-5) और (3) हैं। टिप: गुणनखंडों से बिंदु ((x,0)) बनाएं।
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Question
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(x)=x-2 -(a+b)x+ab) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?
If (p(x)=x-2 -(a+b)x+ab), what will be the (x)-axis intersections of the graph?
#symbolic factorization
#intercepts
#zeroes
A ((a,0)) और ((b,0)) / ((a,0)) and ((b,0))
B ((0,a)) और ((0,b)) / ((0,a)) and ((0,b))
C ((-a,0)) और ((-b,0)) / ((-a,0)) and ((-b,0))
D ((a,b)) और ((b,a)) / ((a,b)) and ((b,a))
Explanation opens after your attempt
Correct Answer
A. ((a,0)) और ((b,0)) / ((a,0)) and ((b,0))
Step 1
Concept
The polynomial equals ((x-a)(x-b)), so the zeroes are (a) and (b). Tip: connect factor form with graph intersections.
Step 2
Why this answer is correct
The correct answer is A. ((a,0)) और ((b,0)) / ((a,0)) and ((b,0)). The polynomial equals ((x-a)(x-b)), so the zeroes are (a) and (b). Tip: connect factor form with graph intersections.
Step 3
Exam Tip
बहुपद ((x-a)(x-b)) के बराबर है, इसलिए शून्यक (a) और (b) हैं। टिप: गुणनखंड रूप को ग्राफ कटान से जोड़ें।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि ग्राफ (x)-अक्ष को ((2,0)) और ((14,0)) पर काटता है तो शून्यकों का औसत क्या है?
If a graph cuts the (x)-axis at ((2,0)) and ((14,0)), what is the average of the zeroes?
#average intercepts zeroes
A (6)
B (8)
C (12)
D (16)
Explanation opens after your attempt
Step 1
Concept
The average is \(\frac{2+14}{2}=8\). Tip: use the (x)-coordinates for the average.
Step 2
Why this answer is correct
The correct answer is B. (8). The average is \(\frac{2+14}{2}=8\). Tip: use the (x)-coordinates for the average.
Step 3
Exam Tip
औसत \(\frac{2+14}{2}=8\) है। टिप: औसत में (x)-निर्देशांकों का प्रयोग करें।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि (p(x)=(x+2)(x-7)) है तो ग्राफ (x)-अक्ष से किन बिंदुओं पर मिलेगा?
If (p(x)=(x+2)(x-7)), at which points will the graph meet the (x)-axis?
#factor form intercepts
A ((2,0)) और ((-7,0)) / ((2,0)) and ((-7,0))
B ((-2,0)) और ((7,0)) / ((-2,0)) and ((7,0))
C ((0,-2)) और ((0,7)) / ((0,-2)) and ((0,7))
D ((-2,7)) और ((7,-2)) / ((-2,7)) and ((7,-2))
Explanation opens after your attempt
Correct Answer
B. ((-2,0)) और ((7,0)) / ((-2,0)) and ((7,0))
Step 1
Concept
Setting the factors to zero gives (x=-2) and (x=7). Tip: convert each zero into the point ((x,0)).
Step 2
Why this answer is correct
The correct answer is B. ((-2,0)) और ((7,0)) / ((-2,0)) and ((7,0)). Setting the factors to zero gives (x=-2) and (x=7). Tip: convert each zero into the point ((x,0)).
Step 3
Exam Tip
कारक शून्य करने पर (x=-2) और (x=7) मिलते हैं। टिप: शून्यक को ((x,0)) बिंदु में बदलें।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि किसी ग्राफ के (x)-अक्ष कटान ((3,0)) और ((12,0)) हैं तो शून्यकों का औसत क्या है?
If the (x)-axis intersections of a graph are ((3,0)) and ((12,0)), what is the average of the zeroes?
#average zeroes intercepts
A (15)
B (9)
C (7.5)
D (36)
Explanation opens after your attempt
Step 1
Concept
The average is \(\frac{3+12}{2}=7.5\). Tip: divide the sum by (2) for the average.
Step 2
Why this answer is correct
The correct answer is C. (7.5). The average is \(\frac{3+12}{2}=7.5\). Tip: divide the sum by (2) for the average.
Step 3
Exam Tip
औसत \(\frac{3+12}{2}=7.5\) है। टिप: औसत में योग को (2) से भाग दें।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-2 -7x+12) है तो ग्राफ के (x)-अक्ष कटान कौन से हैं?
If (p(x)=x-2 -7x+12), what are the (x)-axis intersections of the graph?
#quadratic factor intercepts
A ((3,0)) और ((4,0)) / ((3,0)) and ((4,0))
B ((-3,0)) और ((-4,0)) / ((-3,0)) and ((-4,0))
C ((0,3)) और ((0,4)) / ((0,3)) and ((0,4))
D ((7,0)) और ((12,0)) / ((7,0)) and ((12,0))
Explanation opens after your attempt
Correct Answer
A. ((3,0)) और ((4,0)) / ((3,0)) and ((4,0))
Step 1
Concept
(x-2 -7x+12=(x-3)(x-4)), so the zeroes are (3) and (4). Tip: factor and then write intersection points.
Step 2
Why this answer is correct
The correct answer is A. ((3,0)) और ((4,0)) / ((3,0)) and ((4,0)). (x-2 -7x+12=(x-3)(x-4)), so the zeroes are (3) and (4). Tip: factor and then write intersection points.
Step 3
Exam Tip
(x-2 -7x+12=(x-3)(x-4)) इसलिए शून्यक (3) और (4) हैं। टिप: गुणनखंड बनाकर कटान बिंदु लिखें।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=2x-2 -8) है तो ग्राफ के शून्यक कौन से हैं?
If (p(x)=2x-2 -8), what are the zeroes of the graph?
#quadratic zeroes intercepts
A (2) और (-2) / (2) and (-2)
B (4) और (-4) / (4) and (-4)
C (8) और (-8) / (8) and (-8)
D कोई नहीं / None
Explanation opens after your attempt
Correct Answer
A. (2) और (-2) / (2) and (-2)
Step 1
Concept
From \(2x^2-8=0\), \(x^2=4\) and \(x=\pm2\). Tip: simplify by the common factor first.
Step 2
Why this answer is correct
The correct answer is A. (2) और (-2) / (2) and (-2). From \(2x^2-8=0\), \(x^2=4\) and \(x=\pm2\). Tip: simplify by the common factor first.
Step 3
Exam Tip
\(2x^2-8=0\) से \(x^2=4\) और \(x=\pm2\) मिलता है। टिप: पहले समान गुणक से सरल करें।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि आलेख (x)-अक्ष को ((-10,0)) और ((0,0)) पर काटता है तो शून्यकों का गुणनफल क्या होगा?
If a graph cuts the (x)-axis at ((-10,0)) and ((0,0)), what will be the product of zeroes?
#zero product intercepts
A (-10)
B (10)
C (0)
D (100)
Explanation opens after your attempt
Step 1
Concept
The zeroes are (-10) and (0), so the product is (0). Tip: multiplying by (0) gives (0).
Step 2
Why this answer is correct
The correct answer is C. (0). The zeroes are (-10) and (0), so the product is (0). Tip: multiplying by (0) gives (0).
Step 3
Exam Tip
शून्यक (-10) और (0) हैं इसलिए गुणनफल (0) है। टिप: (0) से गुणा करने पर परिणाम (0) होता है।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि किसी आलेख के (x)-अक्ष कटान ((-8,0)) और ((3,0)) हैं तो शून्यकों का सही जोड़ा कौन सा है?
If the (x)-axis intersections of a graph are ((-8,0)) and ((3,0)), which is the correct pair of zeroes?
#intercepts zeroes coordinates
A ((0,-8)) और ((0,3)) / ((0,-8)) and ((0,3))
B (-8) और (3) / (-8) and (3)
C (8) और (-3) / (8) and (-3)
D (-8) और (0) / (-8) and (0)
Explanation opens after your attempt
Correct Answer
B. (-8) और (3) / (-8) and (3)
Step 1
Concept
The first coordinates of intersection points are the zeroes. Tip: choose points whose second coordinate is (0).
Step 2
Why this answer is correct
The correct answer is B. (-8) और (3) / (-8) and (3). The first coordinates of intersection points are the zeroes. Tip: choose points whose second coordinate is (0).
Step 3
Exam Tip
कटान बिंदुओं के पहले निर्देशांक शून्यक होते हैं। टिप: दूसरे निर्देशांक को (0) देखकर बिंदु चुनें।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि ग्राफ (x)-अक्ष को ((-3,0)), ((2,0)), ((8,0)) पर काटता है, तो सबसे छोटा शून्यक कौन सा है?
If a graph cuts the (x)-axis at ((-3,0)), ((2,0)), ((8,0)), which is the smallest zero?
#compare zeroes
#three intercepts
#graph
A (-3)
B (2)
C (8)
D (0)
Explanation opens after your attempt
Step 1
Concept
The zeroes are (-3), (2), (8), and the smallest is (-3). Tip: a negative number is smaller than a positive number.
Step 2
Why this answer is correct
The correct answer is A. (-3). The zeroes are (-3), (2), (8), and the smallest is (-3). Tip: a negative number is smaller than a positive number.
Step 3
Exam Tip
शून्यक (-3), (2), (8) हैं और सबसे छोटा (-3) है। टिप: ऋणात्मक संख्या धनात्मक से छोटी होती है।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
किसी ग्राफ में (x)-अक्ष कटान ((a,0)), ((b,0)), ((c,0)) हैं। इनमें से कौन सा कथन सही है?
A graph has (x)-axis intersections ((a,0)), ((b,0)), ((c,0)). Which statement is correct?
#general graph rule
#zeroes
#intercepts
A शून्यक (0,0,0) हैं / The zeroes are (0,0,0)
B शून्यक (a,b,c) हैं / The zeroes are (a,b,c)
C शून्यक (a+0,b+0,c+0) नहीं लिखे जा सकते / The zeroes cannot be written as (a+0,b+0,c+0)
D केवल (c) शून्यक है / Only (c) is a zero
Explanation opens after your attempt
Correct Answer
B. शून्यक (a,b,c) हैं / The zeroes are (a,b,c)
Step 1
Concept
The first coordinate of each intersection point is a zero. Tip: read the zero (a) from ((a,0)).
Step 2
Why this answer is correct
The correct answer is B. शून्यक (a,b,c) हैं / The zeroes are (a,b,c). The first coordinate of each intersection point is a zero. Tip: read the zero (a) from ((a,0)).
Step 3
Exam Tip
हर कटान बिंदु का पहला निर्देशांक शून्यक है। टिप: ((a,0)) से शून्यक (a) पढ़ें।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि किसी बहुपद का ग्राफ (x)-अक्ष को ((0,0)), ((2,0)) और ((5,0)) पर काटता है, तो कौन सा कथन सही है?
If a polynomial graph cuts the (x)-axis at ((0,0)), ((2,0)) and ((5,0)), which statement is correct?
#origin
#zeroes
#intercepts
A (0) शून्यक नहीं है / (0) is not a zero
B (0), (2) और (5) शून्यक हैं / (0), (2) and (5) are zeroes
C केवल (5) शून्यक है / Only (5) is a zero
D केवल (2) और (5) शून्यक हैं / Only (2) and (5) are zeroes
Explanation opens after your attempt
Correct Answer
B. (0), (2) और (5) शून्यक हैं / (0), (2) and (5) are zeroes
Step 1
Concept
The origin is also on the (x)-axis, so (0) is also a zero. Tip: do not ignore ((0,0)).
Step 2
Why this answer is correct
The correct answer is B. (0), (2) और (5) शून्यक हैं / (0), (2) and (5) are zeroes. The origin is also on the (x)-axis, so (0) is also a zero. Tip: do not ignore ((0,0)).
Step 3
Exam Tip
मूल बिंदु भी (x)-अक्ष पर है, इसलिए (0) भी शून्यक है। टिप: ((0,0)) को नजरअंदाज न करें।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि द्विघात बहुपद का ग्राफ (x)-अक्ष को ((-2,0)) और ((7,0)) पर काटता है, तो (p(-2)) और (p(7)) के मान क्या होंगे?
If the graph of a quadratic polynomial cuts the (x)-axis at ((-2,0)) and ((7,0)), what will be the values of (p(-2)) and (p(7))?
#function values
#intercepts
#quadratic
A दोनों (0) / Both (0)
B दोनों धनात्मक / Both positive
C दोनों ऋणात्मक / Both negative
D एक (0) और दूसरा (7) / One is (0) and the other is (7)
Explanation opens after your attempt
Correct Answer
A. दोनों (0) / Both (0)
Step 1
Concept
At an (x)-axis intersection, (y=p(x)=0). Tip: read the function value directly from the intersection point.
Step 2
Why this answer is correct
The correct answer is A. दोनों (0) / Both (0). At an (x)-axis intersection, (y=p(x)=0). Tip: read the function value directly from the intersection point.
Step 3
Exam Tip
(x)-अक्ष कटान पर (y=p(x)=0) होता है। टिप: कटान बिंदु से फलन मान सीधे पढ़ें।
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Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(x)=x-2 -16), तो इसके ग्राफ के (x)-अक्ष कटान कौन से हैं?
If (p(x)=x-2 -16), what are the (x)-axis intersections of its graph?
#quadratic
#intercepts
#zeroes
A ((0,16)) और ((16,0)) / ((0,16)) and ((16,0))
B ((4,0)) और ((-4,0)) / ((4,0)) and ((-4,0))
C ((8,0)) और ((-8,0)) / ((8,0)) and ((-8,0))
D कोई नहीं / None
Explanation opens after your attempt
Correct Answer
B. ((4,0)) और ((-4,0)) / ((4,0)) and ((-4,0))
Step 1
Concept
Solving \(x^2-16=0\) gives \(x=\pm4\). Tip: write zeroes as (x)-axis points.
Step 2
Why this answer is correct
The correct answer is B. ((4,0)) और ((-4,0)) / ((4,0)) and ((-4,0)). Solving \(x^2-16=0\) gives \(x=\pm4\). Tip: write zeroes as (x)-axis points.
Step 3
Exam Tip
\(x^2-16=0\) से \(x=\pm4\) मिलता है। टिप: शून्यक को (x)-अक्ष बिंदु में लिखें।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(-3)=0), (p(0)=5) और (p(4)=0), तो ग्राफ (x)-अक्ष को किन बिंदुओं पर काटेगा?
If (p(-3)=0), (p(0)=5) and (p(4)=0), at which points will the graph cut the (x)-axis?
#function values
#intercepts
#zeroes
A ((0,5)) और ((4,0)) / ((0,5)) and ((4,0))
B ((-3,0)) और ((4,0)) / ((-3,0)) and ((4,0))
C ((-3,5)) और ((0,4)) / ((-3,5)) and ((0,4))
D ((0,0)) और ((5,0)) / ((0,0)) and ((5,0))
Explanation opens after your attempt
Correct Answer
B. ((-3,0)) और ((4,0)) / ((-3,0)) and ((4,0))
Step 1
Concept
Where (p(x)=0), there is an (x)-axis intersection. Tip: (p(0)=5) does not give a zero.
Step 2
Why this answer is correct
The correct answer is B. ((-3,0)) और ((4,0)) / ((-3,0)) and ((4,0)). Where (p(x)=0), there is an (x)-axis intersection. Tip: (p(0)=5) does not give a zero.
Step 3
Exam Tip
जहाँ (p(x)=0) है वहीं (x)-अक्ष कटान है। टिप: (p(0)=5) शून्यक नहीं देता।
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Question
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि ग्राफ (x)-अक्ष को ((-6,0)) और ((2,0)) पर काटता है, तो शून्यकों का गुणनफल क्या है?
If a graph cuts the (x)-axis at ((-6,0)) and ((2,0)), what is the product of zeroes?
#product of zeroes
#graph
#intercepts
A (-8)
B (12)
C (-12)
D (8)
Explanation opens after your attempt
Step 1
Concept
The zeroes are (-6) and (2), so the product is (-12). Tip: do not include the (y)-coordinate in the product.
Step 2
Why this answer is correct
The correct answer is C. (-12). The zeroes are (-6) and (2), so the product is (-12). Tip: do not include the (y)-coordinate in the product.
Step 3
Exam Tip
शून्यक (-6) और (2) हैं, इसलिए गुणनफल (-12) है। टिप: (y)-निर्देशांक को गुणन में शामिल न करें।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
आलेख में बिंदु ((0,0)) और ((3,0)) (x)-अक्ष पर हैं। संभावित शून्यक कौन से हैं?
In a graph the points ((0,0)) and ((3,0)) lie on the (x)-axis. What are the possible zeroes?
#origin and intercepts
A (0) और (3) / (0) and (3)
B (3) और (1) / (3) and (1)
C (0) और (-3) / (0) and (-3)
D केवल (3) / Only (3)
Explanation opens after your attempt
Correct Answer
A. (0) और (3) / (0) and (3)
Step 1
Concept
The (x)-coordinates of both points give zeroes. Tip: the origin can also give a zero.
Step 2
Why this answer is correct
The correct answer is A. (0) और (3) / (0) and (3). The (x)-coordinates of both points give zeroes. Tip: the origin can also give a zero.
Step 3
Exam Tip
दोनों बिंदुओं के (x)-निर्देशांक शून्यक देते हैं। टिप: मूल बिंदु भी शून्यक दे सकता है।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
एक आलेख (x)-अक्ष को (-3) और (5) पर काटता है। इसके वास्तविक शून्यक कौन से हैं?
A graph cuts the (x)-axis at (-3) and (5). What are its real zeroes?
#two zeroes intercepts
A (-3) और (5) / (-3) and (5)
B (3) और (-5) / (3) and (-5)
C (-3) और (-5) / (-3) and (-5)
D (0) और (5) / (0) and (5)
Explanation opens after your attempt
Correct Answer
A. (-3) और (5) / (-3) and (5)
Step 1
Concept
The (x)-values of the intersection points are the zeroes. Tip: the (y)-value there is (0).
Step 2
Why this answer is correct
The correct answer is A. (-3) और (5) / (-3) and (5). The (x)-values of the intersection points are the zeroes. Tip: the (y)-value there is (0).
Step 3
Exam Tip
कटान बिंदुओं के (x)-मान शून्यक होते हैं। टिप: (y)-मान यहाँ (0) रहता है।
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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।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि बहुपद के ग्राफ में (x)-अक्ष से मिलने वाले बिंदु ((-9,0)), ((-1,0)), और ((3,0)) हैं, तो वास्तविक शून्यक कितने हैं?
If the points where a polynomial graph meets the (x)-axis are ((-9,0)), ((-1,0)), and ((3,0)), how many real zeroes are there?
#counting-zeroes
#x-intercepts
#graph-reading
#easy
A तीन / Three
B दो / Two
C एक / One
D कोई नहीं / None
Explanation opens after your attempt
Correct Answer
A. तीन / Three
Step 1
Concept
Three distinct (x)-axis points show three distinct real zeroes. Their (x)-coordinates are the zeroes.
Step 2
Why this answer is correct
The correct answer is A. तीन / Three. Three distinct (x)-axis points show three distinct real zeroes. Their (x)-coordinates are the zeroes.
Step 3
Exam Tip
तीन अलग (x)-अक्ष बिंदु तीन अलग वास्तविक शून्यक बताते हैं। उनके (x)-निर्देशांक ही शून्यक हैं।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि किसी ग्राफ के शून्यक (-1), (3), और (8) हैं, तो ग्राफ (x)-अक्ष को किन बिंदुओं पर काटेगा?
If the zeroes of a graph are (-1), (3), and (8), at which points will it cut the (x)-axis?
#zeroes-to-points
#x-intercepts
#graph
#easy
A ((-1,0)), ((3,0)), ((8,0))
B ((0,-1)), ((0,3)), ((0,8))
C ((1,0)), ((-3,0)), ((-8,0))
D ((-1,1)), ((3,3)), ((8,8))
Explanation opens after your attempt
Correct Answer
A. ((-1,0)), ((3,0)), ((8,0))
Step 1
Concept
Use the zeroes as (x)-coordinates and take (y=0). So the intersection points are ((-1,0)), ((3,0)), and ((8,0)).
Step 2
Why this answer is correct
The correct answer is A. ((-1,0)), ((3,0)), ((8,0)). Use the zeroes as (x)-coordinates and take (y=0). So the intersection points are ((-1,0)), ((3,0)), and ((8,0)).
Step 3
Exam Tip
शून्यकों को (x)-निर्देशांक बनाकर (y=0) लिया जाता है। इसलिए कटाव बिंदु ((-1,0)), ((3,0)), और ((8,0)) होंगे।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
किस ग्राफ से शून्यक (1) और (-6) मिलेंगे?
Which graph will give zeroes (1) and (-6)?
#graph-from-zeroes
#x-intercepts
#polynomial-graph
#easy
A जो (x)-अक्ष को ((1,0)) और ((-6,0)) पर काटे / One that cuts the (x)-axis at ((1,0)) and ((-6,0))
B जो (y)-अक्ष को ((1,0)) और ((-6,0)) पर काटे / One that cuts the (y)-axis at ((1,0)) and ((-6,0))
C जो (x)-अक्ष को ((0,1)) और ((0,-6)) पर काटे / One that cuts the (x)-axis at ((0,1)) and ((0,-6))
D जो (x)-अक्ष को न काटे / One that does not cut the (x)-axis
Explanation opens after your attempt
Correct Answer
A. जो (x)-अक्ष को ((1,0)) और ((-6,0)) पर काटे / One that cuts the (x)-axis at ((1,0)) and ((-6,0))
Step 1
Concept
If the zeroes are (1) and (-6), the graph cuts the (x)-axis at those (x)-values. So the points are ((1,0)) and ((-6,0)).
Step 2
Why this answer is correct
The correct answer is A. जो (x)-अक्ष को ((1,0)) और ((-6,0)) पर काटे / One that cuts the (x)-axis at ((1,0)) and ((-6,0)). If the zeroes are (1) and (-6), the graph cuts the (x)-axis at those (x)-values. So the points are ((1,0)) and ((-6,0)).
Step 3
Exam Tip
शून्यक (1) और (-6) होने पर ग्राफ (x)-अक्ष को इन्हीं (x)-मानों पर काटेगा। इसलिए बिंदु ((1,0)) और ((-6,0)) होंगे।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि ग्राफ (x)-अक्ष को (x=2) और (x=9) पर काटता है, तो (p(2)) और (p(9)) के मान क्या होंगे?
If a graph cuts the (x)-axis at (x=2) and (x=9), what will be the values of (p(2)) and (p(9))?
#function-values
#x-intercepts
#zeroes
#easy
A दोनों (0) / Both (0)
B दोनों (1) / Both (1)
C (p(2)=2) और (p(9)=9) / (p(2)=2) and (p(9)=9)
D निर्धारित नहीं / Cannot be determined
Explanation opens after your attempt
Correct Answer
A. दोनों (0) / Both (0)
Step 1
Concept
On the (x)-axis, (y=0). Therefore the polynomial value at both these (x)-values is (0).
Step 2
Why this answer is correct
The correct answer is A. दोनों (0) / Both (0). On the (x)-axis, (y=0). Therefore the polynomial value at both these (x)-values is (0).
Step 3
Exam Tip
(x)-अक्ष पर (y=0) होता है। इसलिए इन दोनों (x)-मानों पर बहुपद का मान (0) होगा।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि परवलय (x)-अक्ष को ((-5,0)) और ((2,0)) पर काटता है, तो शून्यक कौन-से होंगे?
If a parabola cuts the (x)-axis at ((-5,0)) and ((2,0)), what will be the zeroes?
#parabola
#two-zeroes
#x-intercepts
#easy
A (-5) और (2) / (-5) and (2)
B (5) और (-2) / (5) and (-2)
C (-5) और (0) / (-5) and (0)
D (0) और (2) / (0) and (2)
Explanation opens after your attempt
Correct Answer
A. (-5) और (2) / (-5) and (2)
Step 1
Concept
Zeroes are the (x)-coordinates of the intersection points. Hence the zeroes are (-5) and (2).
Step 2
Why this answer is correct
The correct answer is A. (-5) और (2) / (-5) and (2). Zeroes are the (x)-coordinates of the intersection points. Hence the zeroes are (-5) and (2).
Step 3
Exam Tip
शून्यक कटाव बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (-5) और (2) हैं।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि ग्राफ (x)-अक्ष को ((-4,0)) और ((1,0)) पर काटता है, तो शून्यक कौन-से हैं?
If a graph cuts the (x)-axis at ((-4,0)) and ((1,0)), what are the zeroes?
#x-intercepts
#zeroes
#graph-reading
#polynomials
A (-4) और (1) / (-4) and (1)
B (4) और (-1) / (4) and (-1)
C (-4) और (0) / (-4) and (0)
D (0) और (1) / (0) and (1)
Explanation opens after your attempt
Correct Answer
A. (-4) और (1) / (-4) and (1)
Step 1
Concept
Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (-4) and (1).
Step 2
Why this answer is correct
The correct answer is A. (-4) और (1) / (-4) and (1). Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (-4) and (1).
Step 3
Exam Tip
शून्यक (x)-अक्ष पर कटने वाले बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (-4) और (1) हैं।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि ग्राफ (x)-अक्ष को ((r,0)) और ((s,0)) पर काटता है, जहाँ \(r\neq s\), तो शून्यक क्या होंगे?
If a graph cuts the (x)-axis at ((r,0)) and ((s,0)), where \(r\neq s\), what are the zeroes?
#general-zeroes
#x-intercepts
#polynomial-graph
#easy
A (r) और (s) / (r) and (s)
B (0) और (0) / (0) and (0)
C (-r) और (-s) / (-r) and (-s)
D (r+s) और (rs) / (r+s) and (rs)
Explanation opens after your attempt
Correct Answer
A. (r) और (s) / (r) and (s)
Step 1
Concept
Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (r) and (s).
Step 2
Why this answer is correct
The correct answer is A. (r) और (s) / (r) and (s). Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (r) and (s).
Step 3
Exam Tip
शून्यक (x)-अक्ष के कटाव बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (r) और (s) हैं।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
बहुपद के शून्यकों को ग्राफ में किस नाम से भी समझा जा सकता है?
By what name can the zeroes of a polynomial also be understood on a graph?
#x-intercepts
#zeroes
#terminology
#graph
A (x)-अवरोध / (x)-intercepts
B (y)-अवरोध / (y)-intercepts
C ढाल / Slope
D शीर्ष / Vertex
Explanation opens after your attempt
Correct Answer
A. (x)-अवरोध / (x)-intercepts
Step 1
Concept
Zeroes are the (x)-values where the graph cuts or touches the (x)-axis. Hence they are linked with (x)-intercepts.
Step 2
Why this answer is correct
The correct answer is A. (x)-अवरोध / (x)-intercepts. Zeroes are the (x)-values where the graph cuts or touches the (x)-axis. Hence they are linked with (x)-intercepts.
Step 3
Exam Tip
शून्यक वही (x)-मान हैं जहाँ ग्राफ (x)-अक्ष को काटता या छूता है। इसलिए इन्हें (x)-अवरोध से जोड़ा जाता है।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि परवलय (x)-अक्ष को ((-1,0)) और ((5,0)) पर काटता है, तो वास्तविक शून्यकों की संख्या क्या है?
If a parabola cuts the (x)-axis at ((-1,0)) and ((5,0)), how many real zeroes are there?
#parabola
#two-zeroes
#x-intercepts
#easy
A दो / Two
B एक / One
C कोई नहीं / None
D तीन / Three
Explanation opens after your attempt
Step 1
Concept
Two distinct (x)-axis intersections show two real zeroes. Here the zeroes are (-1) and (5).
Step 2
Why this answer is correct
The correct answer is A. दो / Two. Two distinct (x)-axis intersections show two real zeroes. Here the zeroes are (-1) and (5).
Step 3
Exam Tip
दो अलग-अलग (x)-अक्ष कटाव दो वास्तविक शून्यक बताते हैं। यहाँ शून्यक (-1) और (5) हैं।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
किस ग्राफ से शून्यक (-3) और (2) मिलेंगे?
Which graph will give zeroes (-3) and (2)?
#graph-from-zeroes
#x-intercepts
#polynomials
#easy
A जो (x)-अक्ष को ((-3,0)) और ((2,0)) पर काटे / One that cuts the (x)-axis at ((-3,0)) and ((2,0))
B जो (y)-अक्ष को ((-3,0)) और ((2,0)) पर काटे / One that cuts the (y)-axis at ((-3,0)) and ((2,0))
C जो (x)-अक्ष को ((0,-3)) और ((0,2)) पर काटे / One that cuts the (x)-axis at ((0,-3)) and ((0,2))
D जो मूल बिंदु से न गुजरे / One that does not pass through origin
Explanation opens after your attempt
Correct Answer
A. जो (x)-अक्ष को ((-3,0)) और ((2,0)) पर काटे / One that cuts the (x)-axis at ((-3,0)) and ((2,0))
Step 1
Concept
If the zeroes are (-3) and (2), the graph cuts the (x)-axis at those (x)-values. So the points are ((-3,0)) and ((2,0)).
Step 2
Why this answer is correct
The correct answer is A. जो (x)-अक्ष को ((-3,0)) और ((2,0)) पर काटे / One that cuts the (x)-axis at ((-3,0)) and ((2,0)). If the zeroes are (-3) and (2), the graph cuts the (x)-axis at those (x)-values. So the points are ((-3,0)) and ((2,0)).
Step 3
Exam Tip
शून्यक (-3) और (2) होने पर ग्राफ (x)-अक्ष को इन्हीं (x)-मानों पर काटेगा। इसलिए बिंदु ((-3,0)) और ((2,0)) होंगे।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि किसी द्विघात बहुपद का ग्राफ (x)-अक्ष को ((2,0)) और ((7,0)) पर काटता है, तो शून्यक कौन-से हैं?
If the graph of a quadratic polynomial cuts the (x)-axis at ((2,0)) and ((7,0)), what are the zeroes?
#quadratic-polynomial
#x-intercepts
#zeroes
#graph
A (2) और (7) / (2) and (7)
B (-2) और (-7) / (-2) and (-7)
C (0) और (7) / (0) and (7)
D (2) और (0) / (2) and (0)
Explanation opens after your attempt
Correct Answer
A. (2) और (7) / (2) and (7)
Step 1
Concept
Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. So the zeroes are (2) and (7).
Step 2
Why this answer is correct
The correct answer is A. (2) और (7) / (2) and (7). Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. So the zeroes are (2) and (7).
Step 3
Exam Tip
शून्यक (x)-अक्ष पर कटने वाले बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (2) और (7) हैं।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि किसी ग्राफ के (x)-अक्ष से मिलने वाले बिंदु ((1,0)), ((2,0)), और ((5,0)) हैं, तो शून्यकों की संख्या क्या है?
If the points where a graph meets the (x)-axis are ((1,0)), ((2,0)), and ((5,0)), how many zeroes are there?
#number-of-zeroes
#x-intercepts
#graph-reading
#easy
A (3)
B (2)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
Each distinct intersection with the (x)-axis gives one zero. Here there are three distinct points, so there are three zeroes.
Step 2
Why this answer is correct
The correct answer is A. (3). Each distinct intersection with the (x)-axis gives one zero. Here there are three distinct points, so there are three zeroes.
Step 3
Exam Tip
हर अलग (x)-अक्ष कटाव एक शून्यक देता है। यहाँ तीन अलग बिंदु हैं, इसलिए तीन शून्यक हैं।
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Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि ग्राफ (x)-अक्ष को ((-2,0)) और ((4,0)) पर काटता है, तो बहुपद के शून्यक कौन-से हैं?
If a graph cuts the (x)-axis at ((-2,0)) and ((4,0)), what are the zeroes of the polynomial?
#x-intercepts
#zeroes
#polynomial-graph
#class-10
A (-2) और (4) / (-2) and (4)
B (2) और (-4) / (2) and (-4)
C (0) और (4) / (0) and (4)
D (-2) और (0) / (-2) and (0)
Explanation opens after your attempt
Correct Answer
A. (-2) और (4) / (-2) and (4)
Step 1
Concept
Zeroes are the (x)-coordinates of the points where the graph meets the (x)-axis. So the zeroes are (-2) and (4).
Step 2
Why this answer is correct
The correct answer is A. (-2) और (4) / (-2) and (4). Zeroes are the (x)-coordinates of the points where the graph meets the (x)-axis. So the zeroes are (-2) and (4).
Step 3
Exam Tip
शून्यक हमेशा (x)-अक्ष पर कटने वाले बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (-2) और (4) हैं।
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