If a real function f(x) satisfies the re...

If a real function f(x) satisfies the relation `f(x) = f(2a -x)` for all `x in R`. Then, its graph is symmetrical about the line.

A

` x = 0`

B

` x = 2a `

C

` x = a `

D

` x = -a `

Verified by Experts

The correct Answer is:

B

Trivial

Similar Questions

Explore conceptually related problems

If a real valued function f(x) satisfies the equation f(x+y)=f(x)+f(y) for all x,y in R then f(x) is

If a real polynomial of degree n satisfies the relation f(x)=f(x)f''(x)"for all "x in R" Then "f"R to R

If f(x)=f(2a-x) then the graph of f(x) is symmetric about the line

If f(x) satisfies the relation 2f(x)+(1-x)=x^(2) for all real x, then find f(x) .

Function f satisfies the relation f(x)+2f((1)/(1-x))=x AA x in R-{1,0} then f(2) is equal to

If f:RrarrR is a function satisfying the property f(x+1)+f(x+3)=2" for all" x in R than f is

If a function f(x) satisfies the relation 3f(x)-5f((2)/(x))=3-x+x^(2)AA x in R-{0} ,then the value of f(1) is equal to

A real valued function f(x) satisfies the relation 3f(x)-f((x+2)/(x-1))=4x,x!=1, then f(0) is equal to

Let f(x) be a function satisfying the condition f(-x)=f(x) for all real x.If f'(0) exists, then its value is equal to

f(x) is a real valued function, satisfying f(x+y)+f(x-y)=2f(x).f(y) for all yinR , Then