If (x^2-2\lambda x+\lambda=0) has two real and distinct roots, which condition on (\lambda) is correct?

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Answer and explanation

Correct answer: (\lambda<0) or (\lambda>1)

Here (D=4\lambda^2-4\lambda=4\lambda(\lambda-1)). For distinct real roots (D>0), so (\lambda<0) or (\lambda>1).

What is the correct answer to this question?

(\lambda<0) or (\lambda>1)

Why is this the correct answer?

Here (D=4\lambda^2-4\lambda=4\lambda(\lambda-1)). For distinct real roots (D>0), so (\lambda<0) or (\lambda>1).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Nature of Roots.

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