Concept-wise Practice

even multiplicity MCQ Questions for Class 10

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

Practice Questions

5 questions tagged with even multiplicity.

Question 1/5 Expert Mathematics Chapter 2: 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 2/5 Expert Mathematics Chapter 2: 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 3/5 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=(x+1)2(x-8)2) है तो ग्राफ (x)-अक्ष के साथ कैसा व्यवहार करेगा?

If (p(x)=(x+1)2(x-8)2), how will the graph behave with the (x)-axis?

Explanation opens after your attempt
Correct Answer

B. दोनों शून्यकों पर स्पर्श करेगाIt will touch at both zeroes

Step 1

Concept

Both factors have even powers, so the graph touches at both places. Tip: an even-power zero usually gives touching, not crossing.

Step 2

Why this answer is correct

The correct answer is B. दोनों शून्यकों पर स्पर्श करेगा / It will touch at both zeroes. Both factors have even powers, so the graph touches at both places. Tip: an even-power zero usually gives touching, not crossing.

Step 3

Exam Tip

दोनों कारक सम घात में हैं इसलिए दोनों स्थानों पर स्पर्श होगा। टिप: सम घात वाला शून्यक सामान्यतः कटान नहीं बल्कि स्पर्श देता है।

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Question 4/5 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=(x+3)2(x-5)2) है, तो ग्राफ (x)-अक्ष के साथ कैसा व्यवहार करेगा?

If (p(x)=(x+3)2(x-5)2), how will the graph behave with the (x)-axis?

Explanation opens after your attempt
Correct Answer

B. दोनों शून्यकों पर स्पर्श करेगाIt will touch at both zeroes

Step 1

Concept

Both factors have even powers, so the graph touches at both places. Tip: an even-power zero usually gives touching, not crossing.

Step 2

Why this answer is correct

The correct answer is B. दोनों शून्यकों पर स्पर्श करेगा / It will touch at both zeroes. Both factors have even powers, so the graph touches at both places. Tip: an even-power zero usually gives touching, not crossing.

Step 3

Exam Tip

दोनों कारक सम घात में हैं, इसलिए दोनों स्थानों पर स्पर्श होगा। टिप: सम घात वाला शून्यक आमतौर पर कटान नहीं बल्कि स्पर्श देता है।

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Question 5/5 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=(x-2)2(x+5)2) है, तो ग्राफ (x)-अक्ष के साथ कैसा व्यवहार करेगा?

If (p(x)=(x-2)2(x+5)2), how will the graph behave with the (x)-axis?

Explanation opens after your attempt
Correct Answer

B. दोनों शून्यकों पर स्पर्श करेगाIt will touch at both zeroes

Step 1

Concept

Both factors have even powers, so the graph touches at both points. Tip: at an even power the graph usually turns back.

Step 2

Why this answer is correct

The correct answer is B. दोनों शून्यकों पर स्पर्श करेगा / It will touch at both zeroes. Both factors have even powers, so the graph touches at both points. Tip: at an even power the graph usually turns back.

Step 3

Exam Tip

दोनों कारक सम घात में हैं, इसलिए दोनों बिंदुओं पर स्पर्श होगा। टिप: सम घात पर ग्राफ सामान्यतः दिशा बदलता है।

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