If the roots of (x^2-4x+k=0) are real and reciprocal, what is (k)?

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Answer and explanation

Correct answer: (1)

For reciprocal roots, (\alpha\beta=1). Here (\alpha\beta=k), so (k=1), and (D=12>0) confirms real roots.

What is the correct answer to this question?

(1)

Why is this the correct answer?

For reciprocal roots, (\alpha\beta=1). Here (\alpha\beta=k), so (k=1), and (D=12>0) confirms real roots.

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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