Concept-wise Practice

always distinct roots MCQ Questions for Class 10

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Practice Questions

1 questions tagged with always distinct roots.

समीकरण \(x^2+2px+p^2-1=0\) के मूलों की प्रकृति क्या है?

What is the nature of roots of \(x^2+2px+p^2-1=0\)?

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Correct Answer

A. हमेशा वास्तविक और भिन्नAlways real and distinct

Step 1

Concept

Here (D=(2p)2-4\(p^2-1\)=4). So for every real (p), roots are real and distinct.

Step 2

Why this answer is correct

The correct answer is A. हमेशा वास्तविक और भिन्न / Always real and distinct. Here (D=(2p)2-4\(p^2-1\)=4). So for every real (p), roots are real and distinct.

Step 3

Exam Tip

यहाँ (D=(2p)2-4\(p^2-1\)=4) है। इसलिए हर वास्तविक (p) के लिए मूल वास्तविक और भिन्न हैं।

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