Concept-wise Practice

polynomials MCQ Questions for Class 10

polynomials se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

23 questions tagged with polynomials.

Question 1/23 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?

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 2/23 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

किसी बहुपद के ग्राफ का (x)-अक्ष को केवल छूना लेकिन पार न करना क्या दर्शाता है?

What does it indicate when the graph of a polynomial only touches the (x)-axis but does not cross it?

Explanation opens after your attempt
Correct Answer

A. वह बिंदु भी शून्यक हैThat point is also a zero

Step 1

Concept

For a zero it is enough that (y=0). Touching or crossing both give zeroes.

Step 2

Why this answer is correct

The correct answer is A. वह बिंदु भी शून्यक है / That point is also a zero. For a zero it is enough that (y=0). Touching or crossing both give zeroes.

Step 3

Exam Tip

शून्यक के लिए (y=0) होना पर्याप्त है। छूना या काटना दोनों शून्यक देते हैं।

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Question 3/23 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?

Explanation opens after your attempt
Correct Answer

A. दोTwo

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 4/23 Medium Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

किसी बहुपद का आलेख (x)-अक्ष को ((-4,0)), ((1,0)) और ((6,0)) पर काटता है। उसके वास्तविक शून्यकों की संख्या कितनी है?

A polynomial graph cuts the (x)-axis at ((-4,0)), ((1,0)) and ((6,0)). How many real zeroes does it have?

Explanation opens after your attempt
Correct Answer

C. तीनThree

Step 1

Concept

There are three distinct (x)-axis intersections, so there are three real zeroes. Tip: count only points with (y=0).

Step 2

Why this answer is correct

The correct answer is C. तीन / Three. There are three distinct (x)-axis intersections, so there are three real zeroes. Tip: count only points with (y=0).

Step 3

Exam Tip

तीन अलग (x)-अक्ष कटान हैं इसलिए तीन वास्तविक शून्यक हैं। टिप: केवल (y=0) वाले बिंदु गिनें।

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Question 5/23 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?

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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Question 6/23 Easy Mathematics Chapter 2: 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?

Explanation opens after your attempt
Correct Answer

A. (0)

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 7/23 Easy Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

ग्राफ में बिंदु ((-8,0)) दिखने पर बहुपद का कौन-सा मान शून्य होगा?

If the point ((-8,0)) appears on the graph, which value of the polynomial input gives zero?

Explanation opens after your attempt
Correct Answer

A. (x=-8)

Step 1

Concept

The point ((-8,0)) means (y=0) at (x=-8). So (x=-8) makes the polynomial zero.

Step 2

Why this answer is correct

The correct answer is A. (x=-8). The point ((-8,0)) means (y=0) at (x=-8). So (x=-8) makes the polynomial zero.

Step 3

Exam Tip

((-8,0)) का अर्थ है (x=-8) पर (y=0)। इसलिए (x=-8) बहुपद को शून्य बनाता है।

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Question 8/23 Easy Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

रेखा (y=x+9) का शून्यक क्या होगा?

What will be the zero of the line (y=x+9)?

Explanation opens after your attempt
Correct Answer

B. (-9)

Step 1

Concept

For the zero, (x+9=0), so (x=-9). Do not make a sign error.

Step 2

Why this answer is correct

The correct answer is B. (-9). For the zero, (x+9=0), so (x=-9). Do not make a sign error.

Step 3

Exam Tip

शून्यक के लिए (x+9=0), इसलिए (x=-9)। चिह्न बदलने की गलती न करें।

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Question 9/23 Easy Mathematics Chapter 2: 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?

Explanation opens after your attempt
Correct Answer

A. नहींNo

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 10/23 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?

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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Question 11/23 Easy Mathematics Chapter 2: 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?

Explanation opens after your attempt
Correct Answer

A. बहुपद का मानValue 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 12/23 Easy Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी ग्राफ का (x)-अक्ष से कोई साझा बिंदु नहीं है, तो शून्यकों के बारे में क्या निष्कर्ष है?

If a graph has no common point with the (x)-axis, what is the conclusion about its zeroes?

Explanation opens after your attempt
Correct Answer

A. कोई वास्तविक शून्यक नहींNo real zero

Step 1

Concept

Real zeroes are obtained from common points of the graph and the (x)-axis. If there is no common point, there is no real zero.

Step 2

Why this answer is correct

The correct answer is A. कोई वास्तविक शून्यक नहीं / No real zero. Real zeroes are obtained from common points of the graph and the (x)-axis. If there is no common point, there is no real zero.

Step 3

Exam Tip

वास्तविक शून्यक ग्राफ और (x)-अक्ष के साझा बिंदुओं से मिलते हैं। साझा बिंदु न हो तो वास्तविक शून्यक नहीं होगा।

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Question 13/23 Easy Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी बहुपद का ग्राफ (x)-अक्ष को एक बार काटता और एक बार छूता है, तो अलग-अलग वास्तविक शून्यकों की संख्या क्या होगी?

If a polynomial graph cuts the (x)-axis once and touches it once, how many distinct real zeroes will it have?

Explanation opens after your attempt
Correct Answer

A. दोTwo

Step 1

Concept

Both cutting and touching count as meeting the (x)-axis. If the two points are distinct, there are two distinct real zeroes.

Step 2

Why this answer is correct

The correct answer is A. दो / Two. Both cutting and touching count as meeting the (x)-axis. If the two points are distinct, there are two distinct real zeroes.

Step 3

Exam Tip

कटना और छूना दोनों (x)-अक्ष से मिलना है। यदि दोनों बिंदु अलग हैं, तो दो अलग वास्तविक शून्यक होंगे।

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Question 14/23 Easy Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(a)=0), तो ग्राफ किस बिंदु से अवश्य गुजरेगा?

If (p(a)=0), through which point must the graph pass?

Explanation opens after your attempt
Correct Answer

A. ((a,0))

Step 1

Concept

(p(a)=0) means (y=0) at (x=a). Therefore the graph passes through ((a,0)).

Step 2

Why this answer is correct

The correct answer is A. ((a,0)). (p(a)=0) means (y=0) at (x=a). Therefore the graph passes through ((a,0)).

Step 3

Exam Tip

(p(a)=0) का अर्थ है (x=a) पर (y=0)। इसलिए ग्राफ ((a,0)) से गुजरेगा।

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Question 15/23 Easy Mathematics Chapter 2: 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?

Explanation opens after your attempt
Correct Answer

A. नहींNo

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 16/23 Easy Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि बहुपद के ग्राफ में (x)-अक्ष से कटाव की संख्या (4) है, तो वास्तविक शून्यकों की संख्या क्या होगी?

If the number of intersections of a polynomial graph with the (x)-axis is (4), how many real zeroes are there?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

Each distinct (x)-axis intersection represents one real zero. Therefore (4) intersections give (4) real zeroes.

Step 2

Why this answer is correct

The correct answer is A. (4). Each distinct (x)-axis intersection represents one real zero. Therefore (4) intersections give (4) real zeroes.

Step 3

Exam Tip

प्रत्येक अलग (x)-अक्ष कटाव एक वास्तविक शून्यक बताता है। इसलिए (4) कटावों से (4) वास्तविक शून्यक मिलेंगे।

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Question 17/23 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)?

Explanation opens after your attempt
Correct Answer

A. जो (x)-अक्ष को ((-3,0)) और ((2,0)) पर काटेOne 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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Question 18/23 Easy Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(-1)=0), तो ग्राफ किस बिंदु से गुजरेगा?

If (p(-1)=0), through which point will the graph pass?

Explanation opens after your attempt
Correct Answer

A. ((-1,0))

Step 1

Concept

(p(-1)=0) means (y=0) at (x=-1). So the graph passes through ((-1,0)).

Step 2

Why this answer is correct

The correct answer is A. ((-1,0)). (p(-1)=0) means (y=0) at (x=-1). So the graph passes through ((-1,0)).

Step 3

Exam Tip

(p(-1)=0) का अर्थ है (x=-1) पर (y=0)। इसलिए ग्राफ ((-1,0)) से गुजरेगा।

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Question 19/23 Easy Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि ग्राफ (x)-अक्ष को (x=-5) पर काटता है, तो कौन-सा कथन सही है?

If a graph cuts the (x)-axis at (x=-5), which statement is correct?

Explanation opens after your attempt
Correct Answer

A. (-5) बहुपद का शून्यक है(-5) is a zero of the polynomial

Step 1

Concept

The (x)-value where the graph cuts the (x)-axis is the zero. Do not ignore the negative sign.

Step 2

Why this answer is correct

The correct answer is A. (-5) बहुपद का शून्यक है / (-5) is a zero of the polynomial. The (x)-value where the graph cuts the (x)-axis is the zero. Do not ignore the negative sign.

Step 3

Exam Tip

जहाँ ग्राफ (x)-अक्ष को काटता है वही (x)-मान शून्यक होता है। ऋण चिह्न को अनदेखा न करें।

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Question 20/23 Easy Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

किसी बहुपद (p(x)) के शून्यक ज्ञात करने के लिए ग्राफ पर कौन-से बिंदु देखे जाते हैं?

Which points on the graph are observed to find the zeroes of a polynomial (p(x))?

Explanation opens after your attempt
Correct Answer

A. (x)-अक्ष से मिलने वाले बिंदुPoints meeting the (x)-axis

Step 1

Concept

For a zero, (p(x)=0), which means (y=0). Points with (y=0) lie on the (x)-axis.

Step 2

Why this answer is correct

The correct answer is A. (x)-अक्ष से मिलने वाले बिंदु / Points meeting the (x)-axis. For a zero, (p(x)=0), which means (y=0). Points with (y=0) lie on the (x)-axis.

Step 3

Exam Tip

शून्यक के लिए (p(x)=0), यानी (y=0) होना चाहिए। (y=0) वाले बिंदु (x)-अक्ष पर होते हैं।

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Question 21/23 Easy Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

किस बिंदु से बहुपद का शून्यक सीधे मिल सकता है?

From which point can the zero of a polynomial be directly found?

Explanation opens after your attempt
Correct Answer

A. जहाँ ग्राफ (x)-अक्ष को छूता या काटता हैWhere the graph touches or cuts the (x)-axis

Step 1

Concept

For a zero, (y=0), and this happens on the (x)-axis. So look at the points where the graph meets the (x)-axis.

Step 2

Why this answer is correct

The correct answer is A. जहाँ ग्राफ (x)-अक्ष को छूता या काटता है / Where the graph touches or cuts the (x)-axis. For a zero, (y=0), and this happens on the (x)-axis. So look at the points where the graph meets the (x)-axis.

Step 3

Exam Tip

शून्यक के लिए (y=0) होना चाहिए और यह स्थिति (x)-अक्ष पर होती है। इसलिए (x)-अक्ष से मिलने वाले बिंदु देखें।

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Question 22/23 Easy Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी बहुपद का ग्राफ (x)-अक्ष को (x=3) पर काटता है, तो उसका शून्यक क्या होगा?

If the graph of a polynomial cuts the (x)-axis at (x=3), what is its zero?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

The (x)-value where the graph cuts the (x)-axis is the zero. Hence the zero is (3).

Step 2

Why this answer is correct

The correct answer is A. (3). The (x)-value where the graph cuts the (x)-axis is the zero. Hence the zero is (3).

Step 3

Exam Tip

जहाँ ग्राफ (x)-अक्ष को काटता है वही (x)-मान शून्यक होता है। इसलिए यहाँ शून्यक (3) है।

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Question 23/23 Easy Mathematics Chapter 2: 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?

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Correct Answer

A. वह बिंदु जहाँ ग्राफ (x)-अक्ष को काटता हैThe 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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