Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A function f : R → R satisfies
sin x cos y (ƒ(2x + 2y) – ƒ (2x – 2y)) = cos x sin y (ƒ(2x + 2y) + ƒ(2x – 2y)) If ƒ ′ (0) = 
, then -
Text Solution
Verified by ExpertsThe correct answer is:
B
We have 
= 
⇒ 
= 
= K
⇒ ƒ(x) = K sin 
⇒ ƒ ′ (x) = 
cos 
and ƒ ′′ (x) = 
sin 
⇒ 4ƒ ′′ (x) + ƒ(x) = 0
Hence is the correct answer.
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