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sign change MCQ Questions for Class 10

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

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2 questions tagged with sign change.

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

यदि किसी ग्राफ का एक भाग (x)-अक्ष के ऊपर और दूसरा भाग नीचे है तथा बीच में ((9,0)) है तो ((9,0)) क्या दर्शाता है?

If one part of a graph is above the (x)-axis and another part is below it with ((9,0)) between them, what does ((9,0)) represent?

Explanation opens after your attempt
Correct Answer

A. (x=9) शून्यक है(x=9) is a zero

Step 1

Concept

((9,0)) lies on the (x)-axis so (p(9)=0). Moving from above to below also shows crossing.

Step 2

Why this answer is correct

The correct answer is A. (x=9) शून्यक है / (x=9) is a zero. ((9,0)) lies on the (x)-axis so (p(9)=0). Moving from above to below also shows crossing.

Step 3

Exam Tip

((9,0)) (x)-अक्ष पर है इसलिए (p(9)=0) है। ऊपर से नीचे जाना कटान को भी दिखाता है।

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

यदि (p(2)) धनात्मक और (p(5)) ऋणात्मक है, तो ग्राफ के बारे में कौन सा कथन सबसे उचित है?

If (p(2)) is positive and (p(5)) is negative, which statement about the graph is most appropriate?

Explanation opens after your attempt
Correct Answer

A. ग्राफ (x=2) और (x=5) के बीच (x)-अक्ष को पार कर सकता हैThe graph may cross the (x)-axis between (x=2) and (x=5)

Step 1

Concept

A change of sign indicates a meeting with the (x)-axis in between. Tip: polynomial graphs are continuous.

Step 2

Why this answer is correct

The correct answer is A. ग्राफ (x=2) और (x=5) के बीच (x)-अक्ष को पार कर सकता है / The graph may cross the (x)-axis between (x=2) and (x=5). A change of sign indicates a meeting with the (x)-axis in between. Tip: polynomial graphs are continuous.

Step 3

Exam Tip

चिह्न बदलना बीच में (x)-अक्ष से मिलने का संकेत देता है। टिप: बहुपद के ग्राफ सतत होते हैं।

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