Hard Mathematics Polynomials 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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FAQs

Mathematics Answer, Explanation and Revision Hints

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?

Correct Answer: B. दोनों शून्यकों पर स्पर्श करेगा / It will touch at both zeroes. Explanation: दोनों कारक सम घात में हैं, इसलिए दोनों बिंदुओं पर स्पर्श होगा। टिप: सम घात पर ग्राफ सामान्यतः दिशा बदलता है। / Both factors have even powers, so the graph touches at both points. Tip: at an even power the graph usually turns back.

Which concept should I revise for this Mathematics MCQ?

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

What exam hint can help solve this Mathematics question?

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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