For (x^2+2x+\lambda=0) to have real distinct roots and both negative roots, what is the correct condition on (\lambda)?

For both roots to be negative, the sum (-2) and product (\lambda>0) are needed. For real distinct roots, (4-4\lambda>0), hence (0<\lambda<1).

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

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Answer and explanation

Correct answer: (0<\lambda<1)

For both roots to be negative, the sum (-2) and product (\lambda>0) are needed. For real distinct roots, (4-4\lambda>0), hence (0<\lambda<1).

What is the correct answer to this question?

(0<\lambda<1)

Why is this the correct answer?

For both roots to be negative, the sum (-2) and product (\lambda>0) are needed. For real distinct roots, (4-4\lambda>0), hence (0<\lambda<1).

Which subject and chapter does this question cover?

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

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