Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For all real x, the minimum value of 
is -
Text Solution
Verified by ExpertsThe correct answer is:
B
y = 
= 1 – 
or y = 1 – 
= 1 – 
y is min. when 
is max.
or t = 
+ 1 + x is min.
= 1 – 
= 0
∴ x = 1, –1 ; 
= 
= + ive at x = 1 for min.
∴ y (min.) = 1 – 
= 
Alt. y = 
where z = 
. y is min. where z is max.
∴ z = 3 ∴ y = 
.
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