JEE Main 2005 — Functions Question with Solution
From: AIEEE 2005
Question
A real valued function f(x) satisfies the functional equation
f(x - y) = f(x)f(y) - f(a - x)f(a + y)
where a is given constant and f(0) = 1, f(2a - x) is equal to
f(x - y) = f(x)f(y) - f(a - x)f(a + y)
where a is given constant and f(0) = 1, f(2a - x) is equal to
Choose an option
Show full solutionCorrect option: A
Correct answer
A- f(x)
Step-by-step explanation
as
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This is a previous-year question from JEE Main 2005, covering the Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.