Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The greatest and least values of
are
Text Solution
Verified by ExpertsThe correct answer is:
C
(i) Use Identity: Let
and
. We know
. Using
:

(ii) Simplify into a Quadratic: Let
, where
.

Completing the square:
.
(iii) Find Least Value: Occurs when the squared term is zero
:

(iv) Find Greatest Value: Occurs at the boundary furthest from
:

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