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Let   be non-zero real numbers such that

Then, the quadratic equation  has

a)

No root in (0, 2)

b)

At least one root in (1, 2)

c)

A double root in (0, 2)

d)

Two imaginary roots


Question ID - 100022 | Top Ranker Answer | SaraNextGen

Let   be non-zero real numbers such that

Then, the quadratic equation  has

a)

No root in (0, 2)

b)

At least one root in (1, 2)

c)

A double root in (0, 2)

d)

Two imaginary roots

1 Answer - 5876 Votes

3537

Answer Key : (b) -

(b)

Consider

Obviously,  is continuous and differentiable on [1, 2] and (1, 2) respectively.

Also,         (given)

 By Rolle’s  theorem there exist at least one point  such that

Now,

 is root of

Where

Hence, at least one root



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