JEE Main 2005Annual, Paper 1MathematicsMediumSets, Relations and Functions168× since 2002
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