Published by:
CGP EDU Academic Team
Published on: August 12, 2026
For any real x the expression 2(k – x) [x + 
] cannot exceed -
Text Solution
Verified by ExpertsThe correct answer is:
B
y = 2 (k – x) (x + 
) or x + 
= 
…(1)
= 
= 
⇒ 
– x = 
… (2)
(1) – (2) ⇒ 2x = 
– 
4 (y – k 2 ) x 2 + 4k (2k 2 – y) x + y 2 – 4k 4 = 0
But x is real D ≥ 0 y 2 (y – 2k 2 ) ≤ 0
∴ y ≤ 2k 2 y
2 ≥ 0
max. value of y is 2k 2 .
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