SaraNextGen Study App [2022-23]
Last Updated On 23-10-2022 - By Sara

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 :-

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



Next Question :

There is a number series following a pattern.  One place is left blank.  Find the correct answer from the options.

C, Z, F, X, I, V, L, T, O, ?, ?

(a)

O, P

(b)

P, Q

(c)

R, R

(d)

S, R


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