Home
Class 12
MATHS
If f(x) is a real valued function such t...

If `f(x)` is a real valued function such that
`f(x + 6) - f(x + 3) + f(x) = 0, AA x in R`, then period of `f(x)` is

A

6

B

12

C

18

D

24

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 20

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • JEE MOCK TEST 23

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If f:R rarr R is a function such that f(5x)+f(5x+1)+f(5x+2)=0, AA x in R , then the period of f(x) is

If f(x) is real valued function such that (f(x-1)+f(x+1))/(2f(x))=sin60^(@),AA x in R then find the value of f(x-1)+f(x+5)

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

Let f be a real-valued function such that f(x)+2f((2002)/(x))=3x. Then find f(x)

Let f:R rarr R be a real valued function such that f(10+x)=f(10-x)AA x in R and f(20+x)=-f(20-x)AA x in R then which of the following statements are true

If f:R rarr R-{3} be a function such that f(x+1)=(f(x)-5)/(f(x)-3)AA x in R, then

Let f(x) be a real valued function such that f(0)=1/2 and f(x+y)=f(x)f(a-y)+f(y)f(a-x), forall x,y in R , then for some real a,

If f is real-valued differentiable function such that f(x)f'(x)<0 for all real x, then

NTA MOCK TESTS-JEE MOCK TEST 21-MATHEMATICS
  1. Let 2veca = vecb xx vecc + 2vecb where veca, vecb and vecc are three u...

    Text Solution

    |

  2. If f(1 + x) = f(1 - x) (AA x in R), then the value of the integral I...

    Text Solution

    |

  3. If f(x) is a real valued function such that f(x + 6) - f(x + 3) + f(...

    Text Solution

    |

  4. The value of lim(x to 0) (tan^2 3x)/(sqrt(5) - sqrt(4 + "sec" x)) is e...

    Text Solution

    |

  5. If -pi < theta < pi, the equation (cos 3 theta + 1)x^(2) + 2(cos 2th...

    Text Solution

    |

  6. If In (2x^2 - 5), In (x^2 - 1) and In(x^2 - 3) are the first three ter...

    Text Solution

    |

  7. Image of line (x - 2)/3 = (y - 1)/1 = (z - 1)/(-4) in the plane x + y ...

    Text Solution

    |

  8. If pi < theta < (3pi)/(2) and cos theta = -3/5, then tan ((theta)/(4))...

    Text Solution

    |

  9. If the value of integral int(x+sqrt(x^2 -1))^(2)dx = ax^3 - x + b(x^...

    Text Solution

    |

  10. The range of the function sin^(-1)((x^(2))/(1+x^(2))) is

    Text Solution

    |

  11. The solution of the differential equation 1/(x^2 ) ((dy)/(dx))^(2) + 6...

    Text Solution

    |

  12. The number of tangents with positive slope that can be drawn from the ...

    Text Solution

    |

  13. A complex number z is said to be unimodular if . Suppose z1 and z2 ...

    Text Solution

    |

  14. Equation of the straight line which meets the circle x^2 + y^2 = 8 at ...

    Text Solution

    |

  15. If x1, x2, .....xn are n observations such that sum(i=1)^n (xi)^2=400 ...

    Text Solution

    |

  16. If the system of equation x - 2y + 5z = 3 2x - y + z = 1 and 11x - 7...

    Text Solution

    |

  17. A term of randomly chosen from the expansion of (root(6)(4) + 1/(root(...

    Text Solution

    |

  18. If a tangent of slope 2 of the ellipse (x^2)/(a^2) + (y^2)/1 = 1 passe...

    Text Solution

    |

  19. The number obtained after dividing the number formed by the last three...

    Text Solution

    |

  20. The area (in sq. units) bounded by y = 2 - |x - 2| and the x-axis is

    Text Solution

    |