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distinct-zeroes MCQ Questions for Class 10

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27 questions tagged with distinct-zeroes.

Question 1/27 Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=x-3-9x), तो इसके कितने भिन्न वास्तविक शून्यक हैं?

If (p(x)=x-3-9x), how many distinct real zeroes does it have?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

(x-3-9x=x(x-3)(x+3)), so the zeroes are (-3,0,3). Hence there are (3) distinct real zeroes.

Step 2

Why this answer is correct

The correct answer is A. (3). (x-3-9x=x(x-3)(x+3)), so the zeroes are (-3,0,3). Hence there are (3) distinct real zeroes.

Step 3

Exam Tip

(x-3-9x=x(x-3)(x+3)), इसलिए शून्यक (-3,0,3) हैं। अतः भिन्न वास्तविक शून्यक (3) हैं।

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Question 2/27 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि किसी घन बहुपद का ग्राफ (x)-अक्ष को (-1) पर काटता है और (2) पर छूता है तो अलग-अलग वास्तविक शून्यक कितने हैं?

If the graph of a cubic polynomial crosses the (x)-axis at (-1) and touches it at (2), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

A. दोTwo

Step 1

Concept

The distinct zeroes are only (-1) and (2). A touching zero may be repeated but its distinct value is counted once.

Step 2

Why this answer is correct

The correct answer is A. दो / Two. The distinct zeroes are only (-1) and (2). A touching zero may be repeated but its distinct value is counted once.

Step 3

Exam Tip

अलग-अलग शून्यक केवल (-1) और (2) हैं। छूने वाला शून्यक दोहराया हो सकता है पर अलग मान एक ही गिना जाता है।

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Question 3/27 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि कोई बहुपद (x)-अक्ष को आठ अलग बिंदुओं पर काटता है, तो न्यूनतम संभावित घात क्या होगी?

If a polynomial cuts the (x)-axis at eight distinct points, what is the minimum possible degree?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

For eight distinct real zeroes, the degree must be at least (8). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (8). For eight distinct real zeroes, the degree must be at least (8). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

आठ अलग वास्तविक शून्यकों के लिए घात कम से कम (8) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

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Question 4/27 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (x)-अक्ष से मिलने वाले बिंदु ((-11,0)), ((-11,0)), ((4,0)), ((4,0)) लिखे हैं, तो अलग वास्तविक शून्यक कितने हैं?

If the points meeting the (x)-axis are written as ((-11,0)), ((-11,0)), ((4,0)), ((4,0)), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

Repeated points give the same (x)-values, so the distinct zeroes are (-11) and (4). Tip: count the same (x)-value once.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. Repeated points give the same (x)-values, so the distinct zeroes are (-11) and (4). Tip: count the same (x)-value once.

Step 3

Exam Tip

दोहराए बिंदु समान (x)-मान देते हैं, इसलिए अलग शून्यक (-11) और (4) हैं। टिप: समान (x)-मान को एक बार गिनें।

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Question 5/27 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=(x-c)5(x+d)2), जहाँ \(c\neq -d\), तो अलग शून्यक कौन से हैं?

If (p(x)=(x-c)5(x+d)2), where \(c\neq -d\), what are the distinct zeroes?

Explanation opens after your attempt
Correct Answer

A. (c) और (-d)(c) and (-d)

Step 1

Concept

From (x-c=0) we get (c), and from (x+d=0) we get (-d). Tip: do not count repetition among distinct zeroes.

Step 2

Why this answer is correct

The correct answer is A. (c) और (-d) / (c) and (-d). From (x-c=0) we get (c), and from (x+d=0) we get (-d). Tip: do not count repetition among distinct zeroes.

Step 3

Exam Tip

(x-c=0) से (c) और (x+d=0) से (-d) मिलता है। टिप: अलग शून्यकों में दोहराव न गिनें।

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Question 6/27 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=(x+2)6(x-5)2) है, तो अलग वास्तविक शून्यकों की संख्या और ग्राफ का व्यवहार क्या है?

If (p(x)=(x+2)6(x-5)2), what are the number of distinct real zeroes and graph behavior?

Explanation opens after your attempt
Correct Answer

A. दो, दोनों पर स्पर्शTwo, touches at both

Step 1

Concept

There are two distinct zeroes (-2) and (5), and both have even powers. Tip: at an even-power zero the graph usually touches.

Step 2

Why this answer is correct

The correct answer is A. दो, दोनों पर स्पर्श / Two, touches at both. There are two distinct zeroes (-2) and (5), and both have even powers. Tip: at an even-power zero the graph usually touches.

Step 3

Exam Tip

दो अलग शून्यक (-2) और (5) हैं तथा दोनों की घात सम है। टिप: सम घात वाले शून्यक पर ग्राफ सामान्यतः स्पर्श करता है।

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Question 7/27 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि कोई बहुपद (x)-अक्ष को सात अलग बिंदुओं पर काटता है, तो न्यूनतम संभावित घात क्या होगी?

If a polynomial cuts the (x)-axis at seven distinct points, what is the minimum possible degree?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

For seven distinct real zeroes, the degree must be at least (7). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (7). For seven distinct real zeroes, the degree must be at least (7). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

सात अलग वास्तविक शून्यकों के लिए घात कम से कम (7) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

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Question 8/27 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (x)-अक्ष से मिलने वाले बिंदु ((-7,0)), ((-7,0)), ((2,0)), ((2,0)) लिखे हैं, तो अलग वास्तविक शून्यक कितने हैं?

If the points meeting the (x)-axis are written as ((-7,0)), ((-7,0)), ((2,0)), ((2,0)), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

Repeated points give the same (x)-values, so the distinct zeroes are (-7) and (2). Tip: count the same (x)-value once.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. Repeated points give the same (x)-values, so the distinct zeroes are (-7) and (2). Tip: count the same (x)-value once.

Step 3

Exam Tip

दोहराए बिंदु समान (x)-मान देते हैं, इसलिए अलग शून्यक (-7) और (2) हैं। टिप: समान (x)-मान को एक बार गिनें।

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Question 9/27 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=(x+a)3(x-b)2), जहाँ \(a\neq -b\), तो अलग शून्यक कौन से हैं?

If (p(x)=(x+a)3(x-b)2), where \(a\neq -b\), what are the distinct zeroes?

Explanation opens after your attempt
Correct Answer

A. (-a) और (b)(-a) and (b)

Step 1

Concept

From (x+a=0) we get (-a), and from (x-b=0) we get (b). Tip: do not count repetition among distinct zeroes.

Step 2

Why this answer is correct

The correct answer is A. (-a) और (b) / (-a) and (b). From (x+a=0) we get (-a), and from (x-b=0) we get (b). Tip: do not count repetition among distinct zeroes.

Step 3

Exam Tip

(x+a=0) से (-a) और (x-b=0) से (b) मिलता है। टिप: अलग शून्यकों में दोहराव न गिनें।

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Question 10/27 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=(x-1)2(x+4)4) है, तो अलग वास्तविक शून्यकों की संख्या और ग्राफ का व्यवहार क्या है?

If (p(x)=(x-1)2(x+4)4), what are the number of distinct real zeroes and graph behavior?

Explanation opens after your attempt
Correct Answer

A. दो, दोनों पर स्पर्शTwo, touches at both

Step 1

Concept

There are two distinct zeroes (1) and (-4), and both have even powers. Tip: at an even-power zero the graph usually touches.

Step 2

Why this answer is correct

The correct answer is A. दो, दोनों पर स्पर्श / Two, touches at both. There are two distinct zeroes (1) and (-4), and both have even powers. Tip: at an even-power zero the graph usually touches.

Step 3

Exam Tip

दो अलग शून्यक (1) और (-4) हैं तथा दोनों की घात सम है। टिप: सम घात वाले शून्यक पर ग्राफ सामान्यतः स्पर्श करता है।

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Question 11/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि कोई बहुपद (x)-अक्ष को छह अलग बिंदुओं पर काटता है तो न्यूनतम संभावित घात क्या होगी?

If a polynomial cuts the (x)-axis at six distinct points, what is the minimum possible degree?

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

For six distinct real zeroes, the degree must be at least (6). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (6). For six distinct real zeroes, the degree must be at least (6). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

छह अलग वास्तविक शून्यकों के लिए घात कम से कम (6) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

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Question 12/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (x)-अक्ष से मिलने वाले बिंदु ((-5,0)), ((-5,0)), ((4,0)) लिखे हैं तो अलग वास्तविक शून्यक कितने हैं?

If the points meeting the (x)-axis are written as ((-5,0)), ((-5,0)), ((4,0)), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

((-5,0)) is repeated, so the distinct zeroes are (-5) and (4). Tip: count the same (x)-value once.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. ((-5,0)) is repeated, so the distinct zeroes are (-5) and (4). Tip: count the same (x)-value once.

Step 3

Exam Tip

((-5,0)) दोहराया गया है इसलिए अलग शून्यक (-5) और (4) हैं। टिप: समान (x)-मान को एक बार गिनें।

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Question 13/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=(x-4)(x+7)3) है तो अलग शून्यक कौन से हैं?

If (p(x)=(x-4)(x+7)3), what are the distinct zeroes?

Explanation opens after your attempt
Correct Answer

A. (4) और (-7)(4) and (-7)

Step 1

Concept

The zeroes are (4) and (-7), but (-7) is repeated. Tip: count repetition once for distinct zeroes.

Step 2

Why this answer is correct

The correct answer is A. (4) और (-7) / (4) and (-7). The zeroes are (4) and (-7), but (-7) is repeated. Tip: count repetition once for distinct zeroes.

Step 3

Exam Tip

शून्यक (4) और (-7) हैं पर (-7) दोहराया गया है। टिप: अलग शून्यक में दोहराव को एक बार गिनें।

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Question 14/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x-3-25x) है तो ग्राफ (x)-अक्ष को कितने अलग बिंदुओं पर काटेगा?

If (p(x)=x-3-25x), at how many distinct points will the graph cut the (x)-axis?

Explanation opens after your attempt
Correct Answer

C. तीनThree

Step 1

Concept

(x-3-25x=x(x-5)(x+5)), so there are three distinct zeroes. Tip: first take out the common factor.

Step 2

Why this answer is correct

The correct answer is C. तीन / Three. (x-3-25x=x(x-5)(x+5)), so there are three distinct zeroes. Tip: first take out the common factor.

Step 3

Exam Tip

(x-3-25x=x(x-5)(x+5)) है इसलिए तीन अलग शून्यक हैं। टिप: पहले सामान्य गुणनखंड निकालें।

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Question 15/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि कोई बहुपद (x)-अक्ष को चार अलग बिंदुओं पर काटता है, तो न्यूनतम संभावित घात क्या होगी?

If a polynomial cuts the (x)-axis at four distinct points, what is the minimum possible degree?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

For four distinct real zeroes, the degree must be at least (4). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (4). For four distinct real zeroes, the degree must be at least (4). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

चार अलग वास्तविक शून्यकों के लिए घात कम से कम (4) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

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Question 16/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (x)-अक्ष से मिलने वाले बिंदु ((2,0)), ((2,0)), ((9,0)) लिखे हैं, तो अलग वास्तविक शून्यक कितने हैं?

If the points meeting the (x)-axis are written as ((2,0)), ((2,0)), ((9,0)), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

((2,0)) is repeated, so the distinct zeroes are (2) and (9). Tip: count the same (x)-value once.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. ((2,0)) is repeated, so the distinct zeroes are (2) and (9). Tip: count the same (x)-value once.

Step 3

Exam Tip

((2,0)) दोहराया गया है, इसलिए अलग शून्यक (2) और (9) हैं। टिप: समान (x)-मान को एक बार गिनें।

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Question 17/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=(x-2)(x+6)3) है, तो अलग शून्यक कौन से हैं?

If (p(x)=(x-2)(x+6)3), what are the distinct zeroes?

Explanation opens after your attempt
Correct Answer

A. (2) और (-6)(2) and (-6)

Step 1

Concept

The zeroes are (2) and (-6), but (-6) is repeated. Tip: count repetition once for distinct zeroes.

Step 2

Why this answer is correct

The correct answer is A. (2) और (-6) / (2) and (-6). The zeroes are (2) and (-6), but (-6) is repeated. Tip: count repetition once for distinct zeroes.

Step 3

Exam Tip

शून्यक (2) और (-6) हैं, पर (-6) दोहराया गया है। टिप: अलग शून्यक में दोहराव एक बार गिनें।

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Question 18/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-3-16x) है, तो ग्राफ (x)-अक्ष को कितने अलग बिंदुओं पर काटेगा?

If (p(x)=x-3-16x), at how many distinct points will the graph cut the (x)-axis?

Explanation opens after your attempt
Correct Answer

C. तीनThree

Step 1

Concept

(x-3-16x=x(x-4)(x+4)), so there are three distinct zeroes. Tip: first take out the common factor.

Step 2

Why this answer is correct

The correct answer is C. तीन / Three. (x-3-16x=x(x-4)(x+4)), so there are three distinct zeroes. Tip: first take out the common factor.

Step 3

Exam Tip

(x-3-16x=x(x-4)(x+4)) है, इसलिए तीन अलग शून्यक हैं। टिप: पहले सामान्य गुणनखंड निकालें।

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Question 19/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी बहुपद के ग्राफ में (x)-अक्ष से मिलने वाले बिंदु ((1,0)), ((1,0)), ((4,0)) लिखे हैं, तो अलग वास्तविक शून्यक कितने हैं?

If the points meeting the (x)-axis on a polynomial graph are written as ((1,0)), ((1,0)), ((4,0)), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

((1,0)) is repeated, so the distinct zeroes are (1) and (4). Tip: count the same (x)-value once.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. ((1,0)) is repeated, so the distinct zeroes are (1) and (4). Tip: count the same (x)-value once.

Step 3

Exam Tip

((1,0)) दोहराया गया है, इसलिए अलग शून्यक (1) और (4) हैं। टिप: समान (x)-मान को एक बार गिनें।

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Question 20/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी घन बहुपद का ग्राफ (x)-अक्ष को दो अलग बिंदुओं पर छूता और काटता है, तो अलग वास्तविक शून्यक कितने होंगे?

If the graph of a cubic polynomial touches or crosses the (x)-axis at two distinct points, how many distinct real zeroes will it have?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

Distinct zeroes are counted from distinct meeting points with the (x)-axis. Tip: degree gives the maximum, but the actual count is read from the graph.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. Distinct zeroes are counted from distinct meeting points with the (x)-axis. Tip: degree gives the maximum, but the actual count is read from the graph.

Step 3

Exam Tip

अलग शून्यक अलग (x)-अक्ष मिलने वाले बिंदुओं की संख्या से मिलते हैं। टिप: घात से अधिकतम संख्या मिलती है, वास्तविक गिनती ग्राफ से पढ़ें।

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Question 21/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=(x+1)(x-4)3) है, तो अलग शून्यक कौन से हैं?

If (p(x)=(x+1)(x-4)3), what are the distinct zeroes?

Explanation opens after your attempt
Correct Answer

A. (-1) और (4)(-1) and (4)

Step 1

Concept

The zeroes are (-1) and (4), but (4) is repeated. Tip: do not count repetition in distinct zeroes.

Step 2

Why this answer is correct

The correct answer is A. (-1) और (4) / (-1) and (4). The zeroes are (-1) and (4), but (4) is repeated. Tip: do not count repetition in distinct zeroes.

Step 3

Exam Tip

शून्यक (-1) और (4) हैं, पर (4) दोहराया गया है। टिप: अलग शून्यक में दोहराव न गिनें।

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Question 22/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-3-9x) है, तो ग्राफ (x)-अक्ष को कितने अलग बिंदुओं पर काट सकता है?

If (p(x)=x-3-9x), at how many distinct points can the graph cut the (x)-axis?

Explanation opens after your attempt
Correct Answer

C. तीनThree

Step 1

Concept

(x-3-9x=x(x-3)(x+3)), so there are three distinct zeroes. Tip: take the common factor and use difference of squares.

Step 2

Why this answer is correct

The correct answer is C. तीन / Three. (x-3-9x=x(x-3)(x+3)), so there are three distinct zeroes. Tip: take the common factor and use difference of squares.

Step 3

Exam Tip

(x-3-9x=x(x-3)(x+3)), इसलिए तीन अलग शून्यक हैं। टिप: सामान्य गुणनखंड निकालकर वर्गों का अंतर देखें।

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Question 23/27 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी बहुपद के ग्राफ पर (x=-2) पर कटान, (x=1) पर स्पर्श और (x=5) पर कटान है, तो अलग वास्तविक शून्यक कितने हैं?

If a polynomial graph crosses at (x=-2), touches at (x=1), and crosses at (x=5), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

B. तीनThree

Step 1

Concept

The graph meets the (x)-axis at three distinct (x)-values. Tip: both touching and crossing give zeroes.

Step 2

Why this answer is correct

The correct answer is B. तीन / Three. The graph meets the (x)-axis at three distinct (x)-values. Tip: both touching and crossing give zeroes.

Step 3

Exam Tip

तीनों अलग (x)-मानों पर ग्राफ (x)-अक्ष से मिलता है। टिप: स्पर्श और कटान दोनों शून्यक देते हैं।

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Question 24/27 Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)) का ग्राफ (x)-अक्ष को ((2,0)) पर काटता है और ((-1,0)) पर स्पर्श करता है, तो अलग वास्तविक शून्यक कितने हैं?

If the graph of (p(x)) cuts the (x)-axis at ((2,0)) and touches it at ((-1,0)), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

Both cutting and touching give zeroes (2) and (-1). Tip: count distinct (x)-values.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. Both cutting and touching give zeroes (2) and (-1). Tip: count distinct (x)-values.

Step 3

Exam Tip

कटान और स्पर्श दोनों से (x)-मान (2) और (-1) शून्यक हैं। टिप: अलग (x)-मानों की गिनती करें।

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Question 25/27 Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

किसी बहुपद के लिए (p(1)=0), (p(2)=0), (p(3)=0) है। यदि ये तीनों अलग शून्यक हैं, तो ग्राफ (x)-अक्ष से कितने अलग बिंदुओं पर मिलेगा?

For a polynomial (p(1)=0), (p(2)=0), (p(3)=0). If these are three distinct zeroes, at how many distinct points will the graph meet the (x)-axis?

Explanation opens after your attempt
Correct Answer

C. तीनThree

Step 1

Concept

Three distinct (x)-values give three distinct (x)-axis points. Tip: distinct zeroes make distinct intersection points.

Step 2

Why this answer is correct

The correct answer is C. तीन / Three. Three distinct (x)-values give three distinct (x)-axis points. Tip: distinct zeroes make distinct intersection points.

Step 3

Exam Tip

तीन अलग (x)-मान तीन अलग (x)-अक्ष बिंदु देते हैं। टिप: अलग शून्यक अलग कटान बिंदु बनाते हैं।

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Question 26/27 Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि ग्राफ (x=-2) पर (x)-अक्ष को पार करता है और (x=3) पर केवल छूता है, तो अलग वास्तविक शून्यक कौन से हैं?

If a graph crosses the (x)-axis at (x=-2) and only touches it at (x=3), what are the distinct real zeroes?

Explanation opens after your attempt
Correct Answer

C. (-2) और (3)(-2) and (3)

Step 1

Concept

Both crossing and touching give (p(x)=0). Tip: write both (x)-values as distinct zeroes.

Step 2

Why this answer is correct

The correct answer is C. (-2) और (3) / (-2) and (3). Both crossing and touching give (p(x)=0). Tip: write both (x)-values as distinct zeroes.

Step 3

Exam Tip

पार करना और छूना दोनों (p(x)=0) देते हैं। टिप: अलग शून्यक में दोनों (x)-मान लिखें।

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Question 27/27 Easy Mathematics 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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