Home
Class 12
MATHS
Find the period of the real-valued funct...

Find the period of the real-valued function satisfying f(x)+f(x+4)=f(x+2)+f(x+6).

A

6

B

7

C

8

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise Level -2 (Numerical Value Type for JEE Main)|14 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|13 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise Level -1|71 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

Similar Questions

Explore conceptually related problems

Let f be a real-valued function satisfying f(x)+f(x+4)=f(x+2)+f(x+6) Prove that int_x^(x+8)f(t)dt is constant function.

Le the be a real valued functions satisfying f(x+1) + f(x-1) = 2 f(x) for all x, y in R and f(0) = 0 , then for any n in N , f(n) =

Let 'f' be a fifferentiable real valued function satisfying f (x+2y) =f (x) +f (2y) + 6xy (x+2y) AA x, y in R. Then f ' (0), f" (1), f'(2)….. are in

Let f be a real valued function satisfying f(x+y)=f(x)f(y) for all x, y in R such that f(1)=2 . Then , sum_(k=1)^(n) f(k)=

Let f be a real valued function satisfying f(x+y)=f(x)+f(y) for all x, y in R and f(1)=2 . Then sum_(k=1)^(n)f(k)=

Let f be a real valued function defined by f(x)=x^2+1. Find f'(2) .

If f(x) is a differentiable real valued function satisfying f''(x)-3f'(x) gt 3 AA x ge 0 and f'(0)=-1, then f(x)+x AA x gt 0 is

If f is an even function, then find the realvalues of x satisfying the equation f(x)=f((x+1)/(x+2))

Let f be a real valued function with domain R satisfying f(x + k) =1+[(2-5f(x) + 10{f(x)}^2 -10{f(x)}^3 +5{f(x)}^4 -{f(x)}^5] for all real x and some positive constant k , then the period of the function f(x)

If f is a real- valued differentiable function satisfying |f(x) - f(y)| le (x-y)^(2) ,x ,y , in R and f(0) =0 then f(1) equals

VMC MODULES ENGLISH-FUNCTIONS-Level -2
  1. Let f(x)=sec^(-1)[1+cos^(2)x], where [.] denotes the greatest integer ...

    Text Solution

    |

  2. If T(1) is the period of the function f(x)=e^(3x-[x]) and T(2) is the ...

    Text Solution

    |

  3. If f(x)=(4^(x))/(4^(x)+2)," then "f(1/(97))+f((2)/(97))+...+f((96)/(97...

    Text Solution

    |

  4. Domain of the function f(x) = log(sqrt(x-4)+sqrt(6-x))

    Text Solution

    |

  5. If logax=alphalogbx,beta,logc x=gamma and logd x=delta ,xne1 and a,b,...

    Text Solution

    |

  6. If f(x) = log ((1+x)/(1-x)), where -1 lt x lt 1 then f((3x+x^(3))/(1+3...

    Text Solution

    |

  7. Find the period of the real-valued function satisfying f(x)+f(x+4)=f(x...

    Text Solution

    |

  8. If f: R->(-1,\ 1) is defined by f(x)=(-x|x|)/(1+x^2) , then f^(-1)(x) ...

    Text Solution

    |

  9. Solve 4log(x//2)(sqrt(x))+ 2 log(4x)(x^(2)) = 3log(2x)(x^(3)).

    Text Solution

    |

  10. The domain of function f (x) = log ([x+(1)/(2)])(2x ^(2) + x-1), whe...

    Text Solution

    |

  11. Find the range of y=|x-5|/(x-5)

    Text Solution

    |

  12. The function f(x)=sqrt(cos(sinx))+sin^-1((1+x^2)/(2x)) is defined for ...

    Text Solution

    |

  13. Draw the graph for y=({x}-1)^(2).

    Text Solution

    |

  14. The domain of the function f(x)=(sec^(-1)x)/(sqrt(x-[x])) , where [x] ...

    Text Solution

    |

  15. The domain of definition of the function f(x)=log(2)[-(log(2)x)^(2)+5...

    Text Solution

    |

  16. The function f(x) = sec[log(x + sqrt(1+x^2))] is

    Text Solution

    |

  17. Let f(x+y)+f(x-y)=2f(x)f(y) AA x,y in R and f(0)=k, then

    Text Solution

    |

  18. Let f be a real valued function such that for any real x f(15+x)=f(15-...

    Text Solution

    |

  19. The value of int(-20pi)^(20 pi) |sin x| [ sin x] dx is (where [.] de...

    Text Solution

    |

  20. Statement 1 : Let f : r-{3} be a function given by , f(x+10)=(f(x)-5)...

    Text Solution

    |