Home Maths Quadratic Equations All Topic Question for Revision Test If has real solutions, , then the set of p…
Maths Quadratic Equations All Topic Question for Revision Test Single Correct MCQ
Published on: August 11, 2026

If has real solutions, , then the set of possible values of the parameter ' ', is

A
B

C
D

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Text Solution

Verified by Experts
The correct answer is:
C

Let . Then,

Let

The equation will have real and positive roots as , if

(i) Discriminant

(ii) Zero lies outside the roots i.e.

(iii) Abscissa of vertex

Now,

(i) Disc

(ii) , which is true for all

(iii) Abscissa of vertex .

Thus, we have

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