Home
Class 11
MATHS
If f(x+k) + f(x) = 0 AA x in R and k in ...

If `f(x+k) + f(x) = 0 AA x in R and k in R^(+)`, then the period of `f(x)` is

A

`0`

B

`pi/2`

C

`2K`

D

Does not exist

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos
  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) LEVEL-I(MAIN) (Extreme values) Statement type questions|3 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos
  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)|31 Videos

Similar Questions

Explore conceptually related problems

If f(x + 1/2) + f(x - 1/2) = f(x) for all x in R , then the period of f(x) is

If f(3x+2)+f(3x+29)=0 AA x in R , then the period of f(x) is

If f: R to R is defined by f(x)=7+ cos(5x+3) " for " x in R , then the period of f is

If f(x+y) =f(xy) AA x, y in R and if f(2008) = 2008 then find the value of f(2009).

If f(a-x) = f(a+x) and f(b-x)=f(b+x)AA x in R where a, b (a gt b) are constants then the period of f(x) is

Let f(x) be a real valued function with domain R such that f(x+p)= 1 +[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) holds good AA x in R and for some +ve constant 'p' then the period of f(x) is

If f : R to R is defined as f (x+ y) = f (x) + f (y) AA x, y in R and f (1) = 7, then find sum _(r =1) ^(n) f (r).

Let f: R to R be a function such that for some p gt 0 , f(x+p) = (f(x)- 5)/( f(x) - 3) for all x in R . Then period of f is