42 results found for "a-zero" in Class 10.
Question
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30
समीकरण \(0x^2+2x+3=0\) द्विघात क्यों नहीं है?
Why is \(0x^2+2x+3=0\) not quadratic?
#quadratic-equations
#non-quadratic
#a-zero
A क्योंकि (c=3) है / Because (c=3)
B क्योंकि \(x^2\) का गुणांक (0) है / Because the coefficient of \(x^2\) is (0)
C क्योंकि (x) का गुणांक (2) है / Because the coefficient of (x) is (2)
D क्योंकि इसमें स्थिर पद है / Because it has a constant term
Explanation opens after your attempt
Correct Answer
B. क्योंकि \(x^2\) का गुणांक (0) है / Because the coefficient of \(x^2\) is (0)
Step 1
Concept
Here the coefficient of \(x^2\) is (0), so the \(x^2\) term disappears. For a quadratic equation, \(a\neq 0\) is necessary.
Step 2
Why this answer is correct
The correct answer is B. क्योंकि \(x^2\) का गुणांक (0) है / Because the coefficient of \(x^2\) is (0). Here the coefficient of \(x^2\) is (0), so the \(x^2\) term disappears. For a quadratic equation, \(a\neq 0\) is necessary.
Step 3
Exam Tip
यहाँ \(x^2\) का गुणांक (0) है इसलिए \(x^2\) पद समाप्त हो जाता है। द्विघात के लिए \(a\neq 0\) जरूरी है।
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Question
Expert Mathematics
Polynomials Irrational numbers and real numbers Class 10 Level 27
यदि \(5+\sqrt{21}\) किसी परिमेय गुणांक वाले द्विघात बहुपद का शून्यक है, तो उस बहुपद का एक संभव रूप कौन सा है?
If \(5+\sqrt{21}\) is a zero of a quadratic polynomial with rational coefficients, which is one possible form of that polynomial?
#polynomial-from-zero
#conjugate-roots
#irrational-numbers
A \(x^2-10x+4\)
B \(x^2+10x+4\)
C \(x^2-5x+21\)
D \(x^2-10x+46\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-10x+4\)
Step 1
Concept
The other zero will be \(5-\sqrt{21}\). Sum (10) and product (25-21=4) give the polynomial \(x^2-10x+4\).
Step 2
Why this answer is correct
The correct answer is A. \(x^2-10x+4\). The other zero will be \(5-\sqrt{21}\). Sum (10) and product (25-21=4) give the polynomial \(x^2-10x+4\).
Step 3
Exam Tip
दूसरा शून्यक \(5-\sqrt{21}\) होगा। योग (10) और गुणनफल (25-21=4) से बहुपद \(x^2-10x+4\) बनता है।
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Question
Expert Mathematics
Polynomials Irrational numbers and real numbers Class 10 Level 27
यदि \(x=3+\sqrt{8}\), तो (x) किस द्विघात बहुपद का शून्यक हो सकता है?
If \(x=3+\sqrt{8}\), which quadratic polynomial can have (x) as a zero?
#polynomial-from-zero
#conjugates
#irrational-roots
A \(x^2-6x+1\)
B \(x^2+6x+1\)
C \(x^2-3x+8\)
D \(x^2-6x+17\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-6x+1\)
Step 1
Concept
The companion zero is \(3-\sqrt{8}\). Sum (6) and product (9-8=1) form \(x^2-6x+1\).
Step 2
Why this answer is correct
The correct answer is A. \(x^2-6x+1\). The companion zero is \(3-\sqrt{8}\). Sum (6) and product (9-8=1) form \(x^2-6x+1\).
Step 3
Exam Tip
साथी शून्यक \(3-\sqrt{8}\) है। योग (6) और गुणनफल (9-8=1) से बहुपद \(x^2-6x+1\) बनता है।
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Question
Expert Mathematics
Polynomials Irrational numbers and real numbers Class 10 Level 26
यदि \(x=5+2\sqrt{6}\), तो (x) किस द्विघात बहुपद का शून्यक हो सकता है जिसके गुणांक परिमेय हैं?
If \(x=5+2\sqrt{6}\), which quadratic polynomial with rational coefficients can have (x) as a zero?
#polynomial-from-zero
#conjugates
#irrational-numbers
A \(x^2-10x+1\)
B \(x^2+10x+1\)
C \(x^2-5x+6\)
D \(x^2-10x+49\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-10x+1\)
Step 1
Concept
The companion zero is \(5-2\sqrt{6}\), with sum (10) and product (25-24=1). In exams form the polynomial using the conjugate.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-10x+1\). The companion zero is \(5-2\sqrt{6}\), with sum (10) and product (25-24=1). In exams form the polynomial using the conjugate.
Step 3
Exam Tip
साथी शून्यक \(5-2\sqrt{6}\) होगा, योग (10) और गुणनफल (25-24=1) है। परीक्षा में संयुग्मी लेकर बहुपद बनाएं।
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Question
Expert Mathematics
Polynomials Irrational numbers and real numbers Class 10 Level 26
यदि \(2+\sqrt{3}\) किसी परिमेय गुणांक वाले बहुपद का शून्यक है, तो किस रैखिक गुणनखंड का साथ आना अपेक्षित है?
If \(2+\sqrt{3}\) is a zero of a polynomial with rational coefficients, which linear factor is expected to accompany it?
#factor-theorem
#conjugate-zeroes
#polynomials
A (x-\(2-\sqrt{3}\))
B (x-\(2+\sqrt{3}\)) ही केवल / (x-\(2+\sqrt{3}\)) only
C (x-\(\sqrt{3}-2\))
D (x+\(2+\sqrt{3}\))
Explanation opens after your attempt
Correct Answer
A. (x-\(2-\sqrt{3}\))
Step 1
Concept
The companion zero is \(2-\sqrt{3}\), so the factor is (x-\(2-\sqrt{3}\)). In exams remember the relation between a zero and factor as \(x-\alpha\).
Step 2
Why this answer is correct
The correct answer is A. (x-\(2-\sqrt{3}\)). The companion zero is \(2-\sqrt{3}\), so the factor is (x-\(2-\sqrt{3}\)). In exams remember the relation between a zero and factor as \(x-\alpha\).
Step 3
Exam Tip
साथी शून्यक \(2-\sqrt{3}\) होगा, इसलिए गुणनखंड (x-\(2-\sqrt{3}\)) है। परीक्षा में शून्यक और गुणनखंड का संबंध \(x-\alpha\) याद रखें।
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Question
Hard Mathematics
Polynomials Irrational numbers and real numbers Class 10 Level 26
यदि \(x=\sqrt{2}\) बहुपद \(ax^2+bx+c\) का शून्यक है और (a,b,c) परिमेय हैं, तो कौन सा निष्कर्ष सही नहीं हो सकता?
If \(x=\sqrt{2}\) is a zero of \(ax^2+bx+c\) and (a,b,c) are rational, which conclusion cannot be correct?
#conjugate theorem
#quadratic
#reasoning
A \(-\sqrt{2}\) भी शून्यक हो सकता है / \(-\sqrt{2}\) can also be a zero
B बहुपद \(x^2-2\) हो सकता है / The polynomial can be \(x^2-2\)
C सिर्फ \(\sqrt{2}\) ही अकेला अपरिमेय शून्यक हो और गुणांक परिमेय रहें / Only \(\sqrt{2}\) is the sole irrational zero while coefficients stay rational
D शून्यकों का योग (0) हो सकता है / The sum of zeroes can be (0)
Explanation opens after your attempt
Correct Answer
C. सिर्फ \(\sqrt{2}\) ही अकेला अपरिमेय शून्यक हो और गुणांक परिमेय रहें / Only \(\sqrt{2}\) is the sole irrational zero while coefficients stay rational
Step 1
Concept
In a quadratic with rational coefficients an irrational zero comes with its conjugate. In exams be suspicious of a lone irrational root.
Step 2
Why this answer is correct
The correct answer is C. सिर्फ \(\sqrt{2}\) ही अकेला अपरिमेय शून्यक हो और गुणांक परिमेय रहें / Only \(\sqrt{2}\) is the sole irrational zero while coefficients stay rational. In a quadratic with rational coefficients an irrational zero comes with its conjugate. In exams be suspicious of a lone irrational root.
Step 3
Exam Tip
परिमेय गुणांकों वाले द्विघात में अपरिमेय शून्यक अपने संयुग्मी के साथ आता है। परीक्षा में अकेले अपरिमेय मूल पर संदेह करें।
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Question
Hard Mathematics
Polynomials Irrational numbers and real numbers Class 10 Level 28
किस (k) के लिए \(x=\sqrt{2}\) बहुपद \(x^2+kx-2\) का शून्यक होगा?
For which (k) will \(x=\sqrt{2}\) be a zero of the polynomial \(x^2+kx-2\)?
#parameter
#zero of polynomial
#irrational
A (0)
B (1)
C \(-\sqrt{2}\)
D (2)
Explanation opens after your attempt
Step 1
Concept
Substitution gives \(2+k\sqrt{2}-2=k\sqrt{2}=0\), so (k=0). In exams write (p\(\alpha\)=0) for a zero.
Step 2
Why this answer is correct
The correct answer is A. (0). Substitution gives \(2+k\sqrt{2}-2=k\sqrt{2}=0\), so (k=0). In exams write (p\(\alpha\)=0) for a zero.
Step 3
Exam Tip
रखने पर \(2+k\sqrt{2}-2=k\sqrt{2}=0\), इसलिए (k=0) है। परीक्षा में शून्यक होने पर (p\(\alpha\)=0) लिखें।
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Question
Hard Mathematics
Polynomials Irrational numbers and real numbers Class 10 Level 28
यदि \(2+\sqrt{3}\) एक बहुपद \(x^2-4x+1\) का शून्यक है, तो दूसरा शून्यक क्या होगा?
If \(2+\sqrt{3}\) is a zero of the polynomial \(x^2-4x+1\), what is the other zero?
#conjugate roots
#polynomials
#irrational zeroes
A \(2-\sqrt{3}\)
B \(-2+\sqrt{3}\)
C \(-2-\sqrt{3}\)
D \(\sqrt{3}-4\)
Explanation opens after your attempt
Correct Answer
A. \(2-\sqrt{3}\)
Step 1
Concept
For a quadratic with rational coefficients, if \(a+\sqrt{b}\) is a zero then \(a-\sqrt{b}\) is also a zero. The conjugate-root rule is useful in exams.
Step 2
Why this answer is correct
The correct answer is A. \(2-\sqrt{3}\). For a quadratic with rational coefficients, if \(a+\sqrt{b}\) is a zero then \(a-\sqrt{b}\) is also a zero. The conjugate-root rule is useful in exams.
Step 3
Exam Tip
परिमेय गुणांकों वाले द्विघात में \(a+\sqrt{b}\) के साथ \(a-\sqrt{b}\) भी शून्यक होता है। परीक्षा में संयुग्मी मूल का नियम उपयोगी है।
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Question
Hard Mathematics
Polynomials Irrational numbers and real numbers Class 10 Level 27
यदि \(2+\sqrt{3}\) किसी परिमेय गुणांकों वाले द्विघात बहुपद का शून्यक है, तो दूसरा शून्यक क्या होगा?
If \(2+\sqrt{3}\) is a zero of a quadratic polynomial with rational coefficients, what will the other zero be?
#conjugate-root
#quadratic
#irrational
A \(2-\sqrt{3}\)
B \(-2+\sqrt{3}\)
C \(\sqrt{3}-2\)
D \(2+\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(2-\sqrt{3}\)
Step 1
Concept
With rational coefficients, the conjugate of an irrational zero is also a zero. So \(2-\sqrt{3}\) will be the other zero.
Step 2
Why this answer is correct
The correct answer is A. \(2-\sqrt{3}\). With rational coefficients, the conjugate of an irrational zero is also a zero. So \(2-\sqrt{3}\) will be the other zero.
Step 3
Exam Tip
परिमेय गुणांकों में अपरिमेय शून्यक का संयुग्मी भी शून्यक होता है। इसलिए \(2-\sqrt{3}\) दूसरा शून्यक होगा।
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Question
Expert Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
किस स्थिति में (x=3) बहुपद (p(x)) का शून्यक कहलाएगा?
In which situation will (x=3) be called a zero of polynomial (p(x))?
#definition
#zero
#function-value
A जब (p(3)=0) / When (p(3)=0)
B जब (p(0)=3) / When (p(0)=3)
C जब ग्राफ ((0,3)) से गुजरे / When the graph passes through ((0,3))
D जब (p(3)=3) / When (p(3)=3)
Explanation opens after your attempt
Correct Answer
A. जब (p(3)=0) / When (p(3)=0)
Step 1
Concept
A zero is the (x)-value at which the polynomial value is zero. In exams check (p(a)=0).
Step 2
Why this answer is correct
The correct answer is A. जब (p(3)=0) / When (p(3)=0). A zero is the (x)-value at which the polynomial value is zero. In exams check (p(a)=0).
Step 3
Exam Tip
शून्यक वही (x)-मान है जिस पर बहुपद का मान शून्य हो। परीक्षा में (p(a)=0) जांचें।
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Question
Expert Mathematics
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।
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Question
Expert Mathematics
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।
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Question
Hard Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
एक छात्र कहता है कि यदि ग्राफ (y)-अक्ष को ((0,0)) पर काटता है, तो (0) शून्यक नहीं हो सकता क्योंकि यह (y)-अक्ष पर है। सही निर्णय क्या है?
A student says that if a graph cuts the (y)-axis at ((0,0)), then (0) cannot be a zero because it is on the (y)-axis. What is the correct decision?
#origin
#misconception
#zero
A कथन सही है / The statement is correct
B कथन गलत है क्योंकि ((0,0)) (x)-अक्ष पर भी है / The statement is wrong because ((0,0)) is also on the (x)-axis
C कथन सही है क्योंकि (y)-अक्ष पर कोई शून्यक नहीं होता / The statement is correct because no zero lies on the (y)-axis
D निर्धारित नहीं / Cannot be determined
Explanation opens after your attempt
Correct Answer
B. कथन गलत है क्योंकि ((0,0)) (x)-अक्ष पर भी है / The statement is wrong because ((0,0)) is also on the (x)-axis
Step 1
Concept
The origin lies on both axes, so (p(0)=0). Tip: treat ((0,0)) as a special point.
Step 2
Why this answer is correct
The correct answer is B. कथन गलत है क्योंकि ((0,0)) (x)-अक्ष पर भी है / The statement is wrong because ((0,0)) is also on the (x)-axis. The origin lies on both axes, so (p(0)=0). Tip: treat ((0,0)) as a special point.
Step 3
Exam Tip
मूल बिंदु दोनों अक्षों पर होता है, इसलिए (p(0)=0) है। टिप: ((0,0)) को विशेष बिंदु समझें।
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Question
Medium Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि किसी ग्राफ पर ((2,3)) और ((5,0)) हैं तो कौन सा (x)-मान निश्चित शून्यक है?
If ((2,3)) and ((5,0)) lie on a graph, which (x)-value is definitely a zero?
#identify certain zero
A (2)
B (3)
C (5)
D (0)
Explanation opens after your attempt
Step 1
Concept
In ((5,0)), (y=0), so (5) is a zero. Tip: ((2,3)) does not show a zero.
Step 2
Why this answer is correct
The correct answer is C. (5). In ((5,0)), (y=0), so (5) is a zero. Tip: ((2,3)) does not show a zero.
Step 3
Exam Tip
((5,0)) में (y=0) है इसलिए (5) शून्यक है। टिप: ((2,3)) शून्यक नहीं दिखाता।
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Question
Medium Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
कौन सा बिंदु (x=9) को शून्यक साबित करता है?
Which point proves that (x=9) is a zero?
#zero point proof
A ((9,0))
B ((0,9))
C ((9,9))
D ((-9,0))
Explanation opens after your attempt
Correct Answer
A. ((9,0))
Step 1
Concept
A zero (x=9) means (p(9)=0). Tip: place the zero as the first coordinate.
Step 2
Why this answer is correct
The correct answer is A. ((9,0)). A zero (x=9) means (p(9)=0). Tip: place the zero as the first coordinate.
Step 3
Exam Tip
(x=9) शून्यक होने का अर्थ (p(9)=0) है। टिप: शून्यक को पहले निर्देशांक में रखें।
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Question
Medium Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
एक छात्र ने ((0,-6)) देखकर (-6) को शून्यक लिखा। सही कारण से यह गलत क्यों है?
A student saw ((0,-6)) and wrote (-6) as a zero. Why is this wrong with the correct reason?
#common mistake y intercept
A क्योंकि यह (y)-अक्ष कटान है और \(y\neq0\) / Because it is a (y)-axis intercept and \(y\neq0\)
B क्योंकि ऋणात्मक संख्या शून्यक नहीं हो सकती / Because a negative number cannot be a zero
C क्योंकि (x=0) हमेशा शून्यक होता है / Because (x=0) is always a zero
D क्योंकि हर बिंदु शून्यक होता है / Because every point is a zero
Explanation opens after your attempt
Correct Answer
A. क्योंकि यह (y)-अक्ष कटान है और \(y\neq0\) / Because it is a (y)-axis intercept and \(y\neq0\)
Step 1
Concept
At ((0,-6)), the function value is not (0). Tip: for a zero the point must lie on the (x)-axis.
Step 2
Why this answer is correct
The correct answer is A. क्योंकि यह (y)-अक्ष कटान है और \(y\neq0\) / Because it is a (y)-axis intercept and \(y\neq0\). At ((0,-6)), the function value is not (0). Tip: for a zero the point must lie on the (x)-axis.
Step 3
Exam Tip
((0,-6)) पर फलन मान (0) नहीं है। टिप: शून्यक के लिए बिंदु (x)-अक्ष पर होना चाहिए।
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Question
Medium Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-2 -1) है तो कौन सा बिंदु आलेख पर शून्यक नहीं दिखाता?
If (p(x)=x-2 -1), which point does not show a zero on the graph?
#not zero point graph
A ((-1,0))
B ((1,0))
C ((0,-1))
D दोनों ((-1,0)) और ((1,0)) / Both ((-1,0)) and ((1,0))
Explanation opens after your attempt
Correct Answer
C. ((0,-1))
Step 1
Concept
((0,-1)) has \(y\neq0\), so it does not show a zero. Tip: it is a (y)-axis intercept.
Step 2
Why this answer is correct
The correct answer is C. ((0,-1)). ((0,-1)) has \(y\neq0\), so it does not show a zero. Tip: it is a (y)-axis intercept.
Step 3
Exam Tip
((0,-1)) में \(y\neq0\) है इसलिए यह शून्यक नहीं दिखाता। टिप: यह (y)-अक्ष कटान है।
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Question
Medium Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
किस स्थिति में (x=0) बहुपद का शून्यक नहीं होगा?
In which situation will (x=0) not be a zero of the polynomial?
#origin misconception y intercept
A आलेख ((0,0)) से गुजरता है / The graph passes through ((0,0))
B आलेख ((0,5)) से गुजरता है / The graph passes through ((0,5))
C आलेख (x)-अक्ष को मूल बिंदु पर काटता है / The graph cuts the (x)-axis at the origin
D (p(0)=0)
Explanation opens after your attempt
Correct Answer
B. आलेख ((0,5)) से गुजरता है / The graph passes through ((0,5))
Step 1
Concept
At ((0,5)), (p(0)=5), so (0) is not a zero. Tip: (x=0) is a zero only when (y=0) too.
Step 2
Why this answer is correct
The correct answer is B. आलेख ((0,5)) से गुजरता है / The graph passes through ((0,5)). At ((0,5)), (p(0)=5), so (0) is not a zero. Tip: (x=0) is a zero only when (y=0) too.
Step 3
Exam Tip
((0,5)) में (p(0)=5) है इसलिए (0) शून्यक नहीं है। टिप: (x=0) तभी शून्यक है जब (y=0) भी हो।
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Question
Medium Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (x=7) किसी बहुपद का शून्यक है, तो ग्राफ पर कौन सा बिंदु अवश्य होगा?
If (x=7) is a zero of a polynomial, which point must lie on the graph?
#zero to point
#graph
#concept
A ((0,7))
B ((7,7))
C ((7,0))
D ((-7,0))
Explanation opens after your attempt
Correct Answer
C. ((7,0))
Step 1
Concept
A zero (7) means (p(7)=0). Tip: place the zero as the first coordinate.
Step 2
Why this answer is correct
The correct answer is C. ((7,0)). A zero (7) means (p(7)=0). Tip: place the zero as the first coordinate.
Step 3
Exam Tip
शून्यक (7) होने का अर्थ (p(7)=0) है। टिप: शून्यक को पहले निर्देशांक में रखें।
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Question
Medium Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
एक ग्राफ (x)-अक्ष को (x=1) पर पार करता है और (x=4) पर पार करता है। यदि (x=2) पर (p(x)>0), तो (x=2) शून्यक क्यों नहीं है?
A graph crosses the (x)-axis at (x=1) and (x=4). If (p(x)>0) at (x=2), why is (x=2) not a zero?
#misconception
#between zeroes
#graph
A क्योंकि (2) दोनों शून्यकों के बीच है / Because (2) lies between the two zeroes
B क्योंकि (p(2)\neq0) है / Because (p(2)\neq0)
C क्योंकि (2) धनात्मक है / Because (2) is positive
D क्योंकि ग्राफ पर बिंदु नहीं हो सकता / Because it cannot be a point on the graph
Explanation opens after your attempt
Correct Answer
B. क्योंकि (p(2)\neq0) है / Because (p(2)\neq0)
Step 1
Concept
For a zero, the function value must be (0). Tip: being between zeroes does not guarantee being a zero.
Step 2
Why this answer is correct
The correct answer is B. क्योंकि (p(2)\neq0) है / Because (p(2)\neq0). For a zero, the function value must be (0). Tip: being between zeroes does not guarantee being a zero.
Step 3
Exam Tip
शून्यक के लिए फलन मान (0) होना चाहिए। टिप: बीच में होना शून्यक होने की गारंटी नहीं देता।
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Question
Medium Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
एक विद्यार्थी ने (y)-अक्ष कटान ((0,8)) को देखकर (8) को शून्यक माना। सही सुधार क्या है?
A student saw the (y)-axis intercept ((0,8)) and considered (8) as a zero. What is the correct correction?
#common mistake
#y intercept
#zeroes
A (8) शून्यक है क्योंकि (y=8) है / (8) is a zero because (y=8)
B (0) शून्यक है क्योंकि (x=0) है / (0) is a zero because (x=0)
C यह शून्यक नहीं बताता क्योंकि \(y\neq0\) है / It does not show a zero because \(y\neq0\)
D हर (y)-अक्ष कटान शून्यक होता है / Every (y)-axis intercept is a zero
Explanation opens after your attempt
Correct Answer
C. यह शून्यक नहीं बताता क्योंकि \(y\neq0\) है / It does not show a zero because \(y\neq0\)
Step 1
Concept
For a zero, the point must lie on the (x)-axis. Tip: check (y=0) when identifying zeroes.
Step 2
Why this answer is correct
The correct answer is C. यह शून्यक नहीं बताता क्योंकि \(y\neq0\) है / It does not show a zero because \(y\neq0\). For a zero, the point must lie on the (x)-axis. Tip: check (y=0) when identifying zeroes.
Step 3
Exam Tip
शून्यक के लिए बिंदु (x)-अक्ष पर होना चाहिए। टिप: शून्यक पहचानते समय (y=0) जांचें।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
एक विद्यार्थी ने ((0,7)) को देखकर (7) को शून्यक कहा। गलती क्या है?
A student saw ((0,7)) and called (7) a zero. What is the mistake?
#common mistake graph
A यह (y)-अक्ष कटान है और \(y\neq0\) है / It is a (y)-axis intercept and \(y\neq0\)
B (7) हमेशा शून्यक होता है / (7) is always a zero
C हर (y)-अक्ष कटान शून्यक है / Every (y)-axis intercept is a zero
D बिंदु में कोई जानकारी नहीं है / The point has no information
Explanation opens after your attempt
Correct Answer
A. यह (y)-अक्ष कटान है और \(y\neq0\) है / It is a (y)-axis intercept and \(y\neq0\)
Step 1
Concept
For a zero the point must lie on the (x)-axis. Tip: check that the second coordinate is (0).
Step 2
Why this answer is correct
The correct answer is A. यह (y)-अक्ष कटान है और \(y\neq0\) है / It is a (y)-axis intercept and \(y\neq0\). For a zero the point must lie on the (x)-axis. Tip: check that the second coordinate is (0).
Step 3
Exam Tip
शून्यक के लिए बिंदु (x)-अक्ष पर होना चाहिए। टिप: दूसरे निर्देशांक को (0) जांचें।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
किस स्थिति में (-6) बहुपद का शून्यक होगा?
In which situation will (-6) be a zero of the polynomial?
#negative zero identify
A आलेख ((-6,0)) पर (x)-अक्ष को काटे / The graph cuts the (x)-axis at ((-6,0))
B आलेख ((0,-6)) पर (y)-अक्ष को काटे / The graph cuts the (y)-axis at ((0,-6))
C आलेख ((6,0)) पर (x)-अक्ष को काटे / The graph cuts the (x)-axis at ((6,0))
D आलेख ((-6,6)) से गुजरे / The graph passes through ((-6,6))
Explanation opens after your attempt
Correct Answer
A. आलेख ((-6,0)) पर (x)-अक्ष को काटे / The graph cuts the (x)-axis at ((-6,0))
Step 1
Concept
For (-6) to be a zero (p(-6)=0). Tip: do not miss the negative sign.
Step 2
Why this answer is correct
The correct answer is A. आलेख ((-6,0)) पर (x)-अक्ष को काटे / The graph cuts the (x)-axis at ((-6,0)). For (-6) to be a zero (p(-6)=0). Tip: do not miss the negative sign.
Step 3
Exam Tip
(-6) शून्यक होने का अर्थ (p(-6)=0) है। टिप: ऋण चिह्न को न छोड़ें।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
किस स्थिति में बहुपद का (3) शून्यक होगा?
In which situation will (3) be a zero of the polynomial?
#identify given zero
A आलेख ((3,0)) से गुजरे / The graph passes through ((3,0))
B आलेख ((0,3)) से गुजरे / The graph passes through ((0,3))
C आलेख ((3,3)) से गुजरे / The graph passes through ((3,3))
D आलेख ((-3,0)) से गुजरे / The graph passes through ((-3,0))
Explanation opens after your attempt
Correct Answer
A. आलेख ((3,0)) से गुजरे / The graph passes through ((3,0))
Step 1
Concept
If (3) is a zero then (p(3)=0). Tip: look for the point ((3,0)).
Step 2
Why this answer is correct
The correct answer is A. आलेख ((3,0)) से गुजरे / The graph passes through ((3,0)). If (3) is a zero then (p(3)=0). Tip: look for the point ((3,0)).
Step 3
Exam Tip
(3) शून्यक होने पर (p(3)=0) होता है। टिप: बिंदु ((3,0)) खोजें।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
कौन सा बिंदु किसी बहुपद के शून्यक को सीधे दिखाता है?
Which point directly shows a zero of a polynomial?
#identify zero point
A ((9,0))
B ((0,9))
C ((9,9))
D ((0,-9))
Explanation opens after your attempt
Correct Answer
A. ((9,0))
Step 1
Concept
A point showing a zero has (y)-coordinate (0). Tip: choose points lying on the (x)-axis.
Step 2
Why this answer is correct
The correct answer is A. ((9,0)). A point showing a zero has (y)-coordinate (0). Tip: choose points lying on the (x)-axis.
Step 3
Exam Tip
शून्यक वाले बिंदु का (y)-निर्देशांक (0) होता है। टिप: (x)-अक्ष पर पड़े बिंदु चुनें।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि (p(2)=3) है तो बिंदु ((2,3)) आलेख पर है। क्या (2) शून्यक है?
If (p(2)=3) then the point ((2,3)) is on the graph. Is (2) a zero?
#not a zero value
A नहीं / No
B हाँ / Yes
C केवल द्विघात में हाँ / Yes only in quadratic
D निर्धारित नहीं किया जा सकता / Cannot be decided
Explanation opens after your attempt
Correct Answer
A. नहीं / No
Step 1
Concept
For a zero (p(2)) should be (0). Tip: if (p(a)\neq0) then (a) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं / No. For a zero (p(2)) should be (0). Tip: if (p(a)\neq0) then (a) is not a zero.
Step 3
Exam Tip
शून्यक के लिए (p(2)) को (0) होना चाहिए था। टिप: (p(a)\neq0) हो तो (a) शून्यक नहीं है।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
किसी बहुपद (p(x)) का शून्यक आलेख में किससे दर्शाया जाता है?
What represents a zero of a polynomial (p(x)) on its graph?
#polynomials zeroes graph
A जहाँ आलेख (x)-अक्ष को काटता है / Where the graph cuts the (x)-axis
B जहाँ आलेख (y)-अक्ष को काटता है / Where the graph cuts the (y)-axis
C आलेख का सबसे ऊँचा बिंदु / The highest point of the graph
D आलेख का कोई भी बिंदु / Any point on the graph
Explanation opens after your attempt
Correct Answer
A. जहाँ आलेख (x)-अक्ष को काटता है / Where the graph cuts the (x)-axis
Step 1
Concept
At a zero (p(x)=0) so the point lies on the (x)-axis. Tip: on the (x)-axis (y=0).
Step 2
Why this answer is correct
The correct answer is A. जहाँ आलेख (x)-अक्ष को काटता है / Where the graph cuts the (x)-axis. At a zero (p(x)=0) so the point lies on the (x)-axis. Tip: on the (x)-axis (y=0).
Step 3
Exam Tip
शून्यक पर (p(x)=0) होता है इसलिए बिंदु (x)-अक्ष पर होता है। टिप: (x)-अक्ष पर (y=0) होता है।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि किसी ग्राफ में ((4,2)) बिंदु है, तो क्या (4) शून्यक है?
If a graph has the point ((4,2)), is (4) a zero?
#point-test
#not-zero
#graph
#easy
A नहीं / No
B हाँ / Yes
C केवल यदि बहुपद द्विघात हो / Only if the polynomial is quadratic
D केवल यदि ग्राफ रेखा हो / Only if the graph is a line
Explanation opens after your attempt
Correct Answer
A. नहीं / No
Step 1
Concept
In ((4,2)), (y=2), not (0). Therefore (x=4) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं / No. In ((4,2)), (y=2), not (0). Therefore (x=4) is not a zero.
Step 3
Exam Tip
((4,2)) में (y=2) है, (0) नहीं। इसलिए (x=4) शून्यक नहीं है।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)) का ग्राफ मूल बिंदु से गुजरता है, तो कौन-सा मान शून्यक है?
If the graph of (p(x)) passes through the origin, which value is a zero?
#origin
#zeroes
#graph
#polynomials
A (0)
B (1
C (-1)
D निर्धारित नहीं / Cannot be determined
Explanation opens after your attempt
Step 1
Concept
The origin is ((0,0)), so (p(x)=0) at (x=0). Hence (0) is a zero.
Step 2
Why this answer is correct
The correct answer is A. (0). The origin is ((0,0)), so (p(x)=0) at (x=0). Hence (0) is a zero.
Step 3
Exam Tip
मूल बिंदु ((0,0)) है, इसलिए (x=0) पर (p(x)=0)। अतः (0) शून्यक है।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
किस बिंदु पर ग्राफ होने से (x=-2) शून्यक सिद्ध होगा?
Which point on the graph proves that (x=-2) is a zero?
#negative-zero
#point-reading
#x-intercept
#easy
A ((-2,0))
B ((2,0))
C ((0,-2))
D ((-2,2))
Explanation opens after your attempt
Correct Answer
A. ((-2,0))
Step 1
Concept
For (x=-2) to be a zero, (y=0) at that point. Hence the correct point is ((-2,0)).
Step 2
Why this answer is correct
The correct answer is A. ((-2,0)). For (x=-2) to be a zero, (y=0) at that point. Hence the correct point is ((-2,0)).
Step 3
Exam Tip
(x=-2) शून्यक होने के लिए उस बिंदु पर (y=0) होना चाहिए। इसलिए सही बिंदु ((-2,0)) है।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
किस बिंदु पर ग्राफ होने से (x=11) शून्यक सिद्ध होगा?
Which point on the graph proves that (x=11) is a zero?
#point-identification
#zeroes
#x-axis
#graph
A ((11,0))
B ((0,11))
C ((11,1))
D ((-11,0))
Explanation opens after your attempt
Correct Answer
A. ((11,0))
Step 1
Concept
For (x=11) to be a zero, (y=0) is needed. So the point must be ((11,0)).
Step 2
Why this answer is correct
The correct answer is A. ((11,0)). For (x=11) to be a zero, (y=0) is needed. So the point must be ((11,0)).
Step 3
Exam Tip
(x=11) शून्यक होने के लिए (y=0) चाहिए। इसलिए बिंदु ((11,0)) होना चाहिए।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि कोई ग्राफ (x)-अक्ष को केवल छूता है, तो क्या वह बिंदु शून्यक देगा?
If a graph only touches the (x)-axis, will that point give a zero?
#touching-x-axis
#zeroes
#concept
#easy
A हाँ / Yes
B नहीं / No
C केवल रेखा में / Only for a line
D केवल तब जब (y=1) हो / Only when (y=1)
Explanation opens after your attempt
Correct Answer
A. हाँ / Yes
Step 1
Concept
Even when the graph touches, the point lies on the (x)-axis and (y=0). Therefore that point gives a zero.
Step 2
Why this answer is correct
The correct answer is A. हाँ / Yes. Even when the graph touches, the point lies on the (x)-axis and (y=0). Therefore that point gives a zero.
Step 3
Exam Tip
छूने पर भी बिंदु (x)-अक्ष पर होता है और (y=0) होता है। इसलिए वह बिंदु शून्यक देता है।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि ग्राफ ((0,7)) से गुजरता है, तो क्या इससे (0) शून्यक सिद्ध होता है?
If a graph passes through ((0,7)), does it prove that (0) is a zero?
#common-mistake
#y-intercept
#zeroes
#graph
A नहीं, क्योंकि (y=7) है / No, because (y=7)
B हाँ, क्योंकि (x=0) है / Yes, because (x=0)
C हाँ, क्योंकि यह (y)-अक्ष पर है / Yes, because it is on the (y)-axis
D निर्धारित नहीं / Cannot be determined
Explanation opens after your attempt
Correct Answer
A. नहीं, क्योंकि (y=7) है / No, because (y=7)
Step 1
Concept
For a zero, (y=0) is needed. In ((0,7)), (y=7), so (0) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं, क्योंकि (y=7) है / No, because (y=7). For a zero, (y=0) is needed. In ((0,7)), (y=7), so (0) is not a zero.
Step 3
Exam Tip
शून्यक के लिए (y=0) चाहिए। ((0,7)) में (y=7) है, इसलिए (0) शून्यक नहीं है।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(0)=4), तो क्या (0) बहुपद का शून्यक है?
If (p(0)=4), is (0) a zero of the polynomial?
#value-test
#not-zero
#origin
#polynomials
A नहीं / No
B हाँ / Yes
C केवल रैखिक बहुपद में / Only in a linear polynomial
D केवल द्विघात बहुपद में / Only in a quadratic polynomial
Explanation opens after your attempt
Correct Answer
A. नहीं / No
Step 1
Concept
For (0) to be a zero, (p(0)=0) must be true. Here (p(0)=4), so (0) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं / No. For (0) to be a zero, (p(0)=0) must be true. Here (p(0)=4), so (0) is not a zero.
Step 3
Exam Tip
शून्यक होने के लिए (p(0)=0) होना चाहिए। यहाँ (p(0)=4), इसलिए (0) शून्यक नहीं है।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
किसी ग्राफ का (y)-अक्ष से कटना शून्यक क्यों नहीं बताता?
Why does the intersection of a graph with the (y)-axis not directly give a zero?
#common-mistake
#y-intercept
#x-intercept
#zeroes
A क्योंकि शून्यक के लिए (y=0) चाहिए / Because a zero needs (y=0)
B क्योंकि शून्यक के लिए (x=0) चाहिए / Because a zero needs (x=0)
C क्योंकि हर बिंदु शून्यक होता है / Because every point is a zero
D क्योंकि (y)-अक्ष पर ग्राफ नहीं बनता / Because graphs are not drawn on the (y)-axis
Explanation opens after your attempt
Correct Answer
A. क्योंकि शून्यक के लिए (y=0) चाहिए / Because a zero needs (y=0)
Step 1
Concept
Zeroes are linked to the (x)-axis where (y=0). A (y)-axis intersection only shows the value of the polynomial at (x=0).
Step 2
Why this answer is correct
The correct answer is A. क्योंकि शून्यक के लिए (y=0) चाहिए / Because a zero needs (y=0). Zeroes are linked to the (x)-axis where (y=0). A (y)-axis intersection only shows the value of the polynomial at (x=0).
Step 3
Exam Tip
शून्यक (x)-अक्ष से जुड़े होते हैं जहाँ (y=0) होता है। (y)-अक्ष से कटाव केवल (x=0) पर बहुपद का मान बताता है।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(-3)=0), तो बहुपद का कौन-सा शून्यक है?
If (p(-3)=0), which value is a zero of the polynomial?
#zero-definition
#function-value
#negative-zero
#easy
A (-3)
B (3)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
The (x)-value for which (p(x)=0) is a zero. Hence (-3) is a zero of the polynomial.
Step 2
Why this answer is correct
The correct answer is A. (-3). The (x)-value for which (p(x)=0) is a zero. Hence (-3) is a zero of the polynomial.
Step 3
Exam Tip
जिस (x)-मान पर (p(x)=0) हो वही शून्यक होता है। इसलिए (-3) बहुपद का शून्यक है।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
किसी बहुपद के ग्राफ पर शून्यक पहचानने के लिए कौन-सा मान शून्य होना चाहिए?
Which value must be zero to identify a zero on the graph of a polynomial?
#polynomials
#zeroes
#graph
#value-test
A बहुपद का मान / Value of the polynomial
B चर का गुणांक / Coefficient of the variable
C घात का मान / Value of the degree
D स्थिर पद / Constant term
Explanation opens after your attempt
Correct Answer
A. बहुपद का मान / Value of the polynomial
Step 1
Concept
At a zero, the polynomial value is (0). While reading a graph, look for points where (y=0).
Step 2
Why this answer is correct
The correct answer is A. बहुपद का मान / Value of the polynomial. At a zero, the polynomial value is (0). While reading a graph, look for points where (y=0).
Step 3
Exam Tip
शून्यक पर बहुपद का मान (0) होता है। ग्राफ पढ़ते समय (y=0) वाले बिंदु देखें।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(2)=5), तो क्या (2) बहुपद का शून्यक है?
If (p(2)=5), is (2) a zero of the polynomial?
#value-test
#not-zero
#polynomials
#easy
A नहीं / No
B हाँ / Yes
C केवल द्विघात में / Only in quadratic
D केवल रैखिक में / Only in linear
Explanation opens after your attempt
Correct Answer
A. नहीं / No
Step 1
Concept
For (2) to be a zero, (p(2)=0) must hold. Here (p(2)=5), so (2) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं / No. For (2) to be a zero, (p(2)=0) must hold. Here (p(2)=5), so (2) is not a zero.
Step 3
Exam Tip
शून्यक होने के लिए (p(2)=0) होना चाहिए। यहाँ (p(2)=5), इसलिए (2) शून्यक नहीं है।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
बहुपद (p(x)) के ग्राफ में (y=p(x)) होता है। शून्यक पर (y) का मान क्या होगा?
In the graph of polynomial (p(x)), (y=p(x)). What is the value of (y) at a zero?
#definition
#y-value
#zeroes
#graph
A (0)
B (1)
C (-1)
D निर्धारित नहीं / Cannot be determined
Explanation opens after your attempt
Step 1
Concept
At a zero, the value of the polynomial is (0). Therefore the (y)-value at that point on the graph is (0).
Step 2
Why this answer is correct
The correct answer is A. (0). At a zero, the value of the polynomial is (0). Therefore the (y)-value at that point on the graph is (0).
Step 3
Exam Tip
शून्यक पर बहुपद का मान (0) होता है। इसलिए ग्राफ पर उस बिंदु का (y)-मान (0) होगा।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
किस स्थिति में (x=2) बहुपद (p(x)) का शून्यक कहलाएगा?
In which situation will (x=2) be called a zero of polynomial (p(x))?
#definition
#zero-of-polynomial
#value-test
#easy
A जब (p(2)=0) हो / When (p(2)=0)
B जब (p(0)=2) हो / When (p(0)=2)
C जब (p(2)=2) हो / When (p(2)=2)
D जब (p(x)=2) हो / When (p(x)=2)
Explanation opens after your attempt
Correct Answer
A. जब (p(2)=0) हो / When (p(2)=0)
Step 1
Concept
A value is called a zero only when the polynomial value at that point is (0). So for (x=2), (p(2)=0) is required.
Step 2
Why this answer is correct
The correct answer is A. जब (p(2)=0) हो / When (p(2)=0). A value is called a zero only when the polynomial value at that point is (0). So for (x=2), (p(2)=0) is required.
Step 3
Exam Tip
किसी मान को शून्यक तभी कहते हैं जब उस पर बहुपद का मान (0) हो। इसलिए (x=2) के लिए (p(2)=0) होना चाहिए।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
ग्राफ पर ((0,4)) बिंदु मिलने से क्या (0) शून्यक होगा?
Does the point ((0,4)) on a graph mean that (0) is a zero?
#common-mistake
#y-intercept
#zeroes
#graph
A नहीं, क्योंकि \(y\neq 0\) है / No, because \(y\neq 0\)
B हाँ, क्योंकि (x=0) है / Yes, because (x=0)
C हाँ, क्योंकि बिंदु (y)-अक्ष पर है / Yes, because the point is on the (y)-axis
D निर्धारित नहीं हो सकता / Cannot be determined
Explanation opens after your attempt
Correct Answer
A. नहीं, क्योंकि \(y\neq 0\) है / No, because \(y\neq 0\)
Step 1
Concept
For a zero, (y=0) is required. In ((0,4)), (y=4), so (0) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं, क्योंकि \(y\neq 0\) है / No, because \(y\neq 0\). For a zero, (y=0) is required. In ((0,4)), (y=4), so (0) is not a zero.
Step 3
Exam Tip
शून्यक के लिए (y=0) होना चाहिए। ((0,4)) में (y=4) है, इसलिए (0) शून्यक नहीं है।
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Question
Easy Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
किसी बहुपद (p(x)) का शून्यक ज्यामितीय रूप से क्या दर्शाता है?
What does a zero of a polynomial (p(x)) represent geometrically?
#polynomials
#zeroes
#geometrical-meaning
#x-axis
A वह बिंदु जहाँ ग्राफ (x)-अक्ष को काटता है / The point where the graph cuts the (x)-axis
B वह बिंदु जहाँ ग्राफ (y)-अक्ष को काटता है / The point where the graph cuts the (y)-axis
C ग्राफ का सबसे ऊँचा बिंदु / The highest point of the graph
D ग्राफ का सबसे निचला बिंदु / The lowest point of the graph
Explanation opens after your attempt
Correct Answer
A. वह बिंदु जहाँ ग्राफ (x)-अक्ष को काटता है / The point where the graph cuts the (x)-axis
Step 1
Concept
A zero is the (x)-value for which (p(x)=0). On the graph, it is shown where the curve meets the (x)-axis.
Step 2
Why this answer is correct
The correct answer is A. वह बिंदु जहाँ ग्राफ (x)-अक्ष को काटता है / The point where the graph cuts the (x)-axis. A zero is the (x)-value for which (p(x)=0). On the graph, it is shown where the curve meets the (x)-axis.
Step 3
Exam Tip
किसी बहुपद का शून्यक वह (x)-मान होता है जहाँ (p(x)=0) होता है। ग्राफ में यह (x)-अक्ष पर मिलने वाला बिंदु बताता है।
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