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Nature of Roots

A quadratic e...

Question

A quadratic equation whose one root is 2 and the sum of whose roots is zero, is

(a) x² + 4 = 0
(b) x² − 4 = 0
(c) 4x² − 1 = 0
(d) x² − 2 = 0

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Solution

Let be the roots of quadratic equation in such a way that

Then, according to question sum of the roots

And the product of the roots

As we know that the quadratic equation

Putting the value of in above

Therefore, the require equation be

Thus, the correct answer is

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