Home
Class 12
MATHS
Let a gt 1 " and "b gt 1. If f(t) is a p...

Let `a gt 1 " and "b gt 1`. If f(t) is a periodic function of period T and `int_(0)^(infty)a^(-bi)f(t)dt=kint_(0)^(T)a^(-bt)f(t)dt` then k =

A

`a^(bT)/(T+1)`

B

`a^(-bT)/(a^(-bT)+1)`

C

`a^(bT)/(b^(aT)+1)`

D

`a^(bT)/(a^(bT)-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET SOLVED PAPER 2019

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|58 Videos

  • ONLINE QUESTION PAPER

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos

Similar Questions

Explore conceptually related problems

If k int_(0)^(1) x f (3 x) dx = int_(0)^(3) t f(t) dt then k=

If f(x) = int_(0)^(x) t.e^(t) dt then f'(-1)=

If int_(0)^(x)f(t)dt=x+int_(x)^(1)tf(t)dt , then the value of f(1) is

f(x)= int_(0)^(x) ln ((1-t)/(1+t))dt rArr

If A = int_(0)^(1) (e^(t))/(1+ t)dt then int_(0)^(1) e^(t) ln (1 + t) dt=

If f(y)=e^(y),g(y)=y:ygt0andF(t)=int_(0)^(t)f(t-y)g(y)dy, then

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET SOLVED PAPER 2019 (22-04-2019, SHIFT-2)-MATHEMATICS
  1. The equation of the plane which passes through the point (2, 5, -8) an...

    Text Solution

    |

  2. lim(x to pi/6)(Sin(x-pi/6))/(sqrt(3)/2-cosx)=

    Text Solution

    |

  3. The integer 'n' is for which Lt(x to 0)((cosx-1)(cosx-e^(x)))/(x^(n)) ...

    Text Solution

    |

  4. If f(x)=int(-1)^(x)abs(t)dt, x ge 1, then

    Text Solution

    |

  5. If x=sinh^(-1)[log(1+sqrt(y)], " then "(dy)/(dx)=

    Text Solution

    |

  6. If f(x)=((7x+1)sinx)/(e^(x)logx) " and "f^(')(x)=f(x)g(x), then g^(')(...

    Text Solution

    |

  7. If f(x)=|{:(cosx,1,0),(1,2cosx,1),(0,1,2cosx):}|" then "int(0)^(pi//2)...

    Text Solution

    |

  8. The angle between the curves y^(2)=8(x+4) " and "y^(2)=24(4-x) is

    Text Solution

    |

  9. The function f(x)=x^(1//x) " for " x gt 0, is

    Text Solution

    |

  10. Let f:[0, 1/2] rarr R be given by f(x)=x(x-1)(x-2). The value 'c', whe...

    Text Solution

    |

  11. If a tangent to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1(a gt b gt 0) hav...

    Text Solution

    |

  12. int(sin^(8)x-cos^(8)x)/(1-2sin^(2)x+2sin^(4)x)dx=

    Text Solution

    |

  13. int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx=(x^(p))/(q(x^(5)+x^(3)+1)^...

    Text Solution

    |

  14. int(x^(2)+cos^(2)x)/((1+x^(2))sin^(2)x)dx=

    Text Solution

    |

  15. If I(n)=intsin^(n)xdx, " for "n=1, 2, 3... " then "8I(8)+7(I(7)-I(6))-...

    Text Solution

    |

  16. lim(n to infty) (1+32+243+…+n^(5))/n^(6)=

    Text Solution

    |

  17. Let a gt 1 " and "b gt 1. If f(t) is a periodic function of period T a...

    Text Solution

    |

  18. The area (in sq units) enclosed by the curves y=sinx+cosx " and "y=abs...

    Text Solution

    |

  19. The degree and order respectively of the differential equation of the ...

    Text Solution

    |

  20. The solution of the differential equation (x+y-1)/(x+y-2)(dy)/(dx)=(x+...

    Text Solution

    |