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always equal roots MCQ Questions for Class 10

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Question 1/1 Hard Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण (9x-2-6(k-1)x+(k-1)2=0) के मूलों की प्रकृति क्या है?

What is the nature of roots of (9x-2-6(k-1)x+(k-1)2=0)?

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Correct Answer

A. हमेशा वास्तविक और समानAlways real and equal

Step 1

Concept

Here (D=[-6(k-1)]2-4(9)(k-1)2=0). Hence roots are real and equal for every (k).

Step 2

Why this answer is correct

The correct answer is A. हमेशा वास्तविक और समान / Always real and equal. Here (D=[-6(k-1)]2-4(9)(k-1)2=0). Hence roots are real and equal for every (k).

Step 3

Exam Tip

यहाँ (D=[-6(k-1)]2-4(9)(k-1)2=0) है। अतः हर (k) के लिए मूल वास्तविक और समान हैं।

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