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Nature of Roots

If the sum of...

Question

If the sum of the roots of the equation x² − x = λ(2x − 1) is zero, then λ =

(a) −2
(b) 2
(c) $- \frac{1}{2}$
(d) $\frac{1}{2}$

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Solution

The given quadric equation is , and roots are zero.

Then find the value of .

Here,

As we know that

Putting the value of

The given equation will have zero roots, if

Therefore, the value of

Thus, the correct answer is

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