If is real, then the maximum and minimum values of express… | CGP Edu

Maths Quadratic Equations Mix Numeric Response

Published by: CGP EDU Academic Team

Published on: August 12, 2026

If is real, then the maximum and minimum values of expression is and . Find .

Text Solution

Verified by Experts

The correct answer is:

(9)
Sol. Let

For real , its discriminant

i.e.

Now, the product of two factors is negative if these are of opposite signs. So following two cases

arise:

case I: or and or

This is not possible.

case II: or and or Both of these are satisfied if

Hence maximum value of is and minimum value is .

Maximum minimum

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