If the system of equations 2x – y + z =0, x- 2y + z = 0 and ax – y + 2z = 0 has infinitely many solutions and f(x) is continuous function satisfying f(x)+f(x+5) = 2, then

is equal to

a) 0

b) 5

c) a

d) –2a

**Solution**

If the system of equations 2x – y + z =0, x- 2y + z = 0 and ax – y + 2z = 0 has infinitely many solutions and f(x) is continuous function satisfying f(x)+f(x+5) = 2, then

is equal to

a) 0

b) 5

c) a

d) –2a

**Solution**

Evaluate,

Only one option is correct.

[JEE Advanced 2013]

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