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**

The largest value of the nonnegative integer a for which

is

[JEE Advanced 2014]

The intercepts on x-axis made by tangents to the curve, , which are parallel to the line y = 2x, are equal to:

(1) (2) (3) (4)

[JEE Main 2013]