Home
Class 12
MATHS
If f:RR to RR be a continuous function s...

If `f:RR to RR` be a continuous function satisfying
`int_0^(pi/2) f(sin 2x) sinx dx +alpha int_0^(pi/4) f(cos 2x) cos dx=0`, then the value of `alpha` is

A

`sqrt3`

B

`-sqrt3`

C

`sqrt2`

D

`-sqrt2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

If int_(0)^(pi/2) f ( sin2 x ) sin x dx = A int_(0)^(pi/4) f ( cos 2 x ) cos x dx then the value of A is ( sqrt2 = 1.41)

int_0^(pi/2) (sinx)/(1+Cos^2x)dx

(i) int_0^(pi/2) sin^2 x dx (ii) int_0^(pi//2) cos^2 x dx

If int_(0)^(pi) x f (sin x) dx = A int _(0)^(pi//2) f(sin x) dx , then A is equal to

If int_(0)^(npi) f(cos^(2)x)dx=k int_(0)^(pi) f(cos^(2)x)dx , then the value of k, is

If int_(0)^(pi)x f(sin x) dx = a int_(0)^(pi)f (sin x) dx , then a =

If P = int_(0)^(3pi) f(cos^(2)x)dx and Q=int_(0)^(pi) f(cos^(2)x)dx , then

Prove the equality int_(0)^(pi) f (sin x) dx = 2 int_(0)^(pi//2) f (sin x) dx

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. The angle of elevation of the top P of a tower from the feet of one pe...

    Text Solution

    |

  2. If the system of linear equations 7x+11y+alphaz=13 5x+4y+7z=beta 175x+...

    Text Solution

    |

  3. If f:RR to RR be a continuous function satisfying int0^(pi/2) f(sin ...

    Text Solution

    |

  4. The domain of the function f(x)=1/(sqrt([x]^2-3[x]-10)) is (where [x] ...

    Text Solution

    |

  5. If the letters of the word "MATHS" are permuted and all possible words...

    Text Solution

    |

  6. Let y= y(x) be the solution of the differential equation (dy)/(dx)+5/...

    Text Solution

    |

  7. Let the probability of getting head for a biased coin be 1/4. It is to...

    Text Solution

    |

  8. Let A=1{1.2.34 5} and B= {1,2 3.4, 5 6}. Then the number of functions ...

    Text Solution

    |

  9. For k in NN , if the sum of the series 1+4/k+8/k^2+13/k^2+19/k^4+. . ....

    Text Solution

    |

  10. Let the line l:x=(1-y)/-2=(z-3)/lamda ,lamda in RR meet the plane P:x ...

    Text Solution

    |

  11. If A is the area in the first quadrant enclosed by the curve C: 2x^2-y...

    Text Solution

    |

  12. Let veca=hati+2hatj+3hatk and vecb=hati+hatj-hatk.If vecc is a vector ...

    Text Solution

    |

  13. Let the tangent to the parabola y^2 = 12x at the point (3, alpha) be p...

    Text Solution

    |

  14. The number of points, where the curve f(x)=e^(8x)-e^(6x)-3e^(4x)-e^(2x...

    Text Solution

    |

  15. If the line l1 : 3y - 2x = 3 is the angular bisector of the lines l2 :...

    Text Solution

    |

  16. Let S={z in CC-{i-2i}:(z^2+8iz-15)/(z^2-3iz-2) in RR}.If alpha-13/11i ...

    Text Solution

    |

  17. Let (a+bx+cx^2)^10= sum(i=0)^(20) pi x^(i), a,b,c in NN. If p1=20 and ...

    Text Solution

    |

  18. Let x= x(y) be the solution of the differential equation 2(y+2)loge(y+...

    Text Solution

    |

  19. The total number of three-digit numbers, divisible by 3, which can be ...

    Text Solution

    |

  20. The mean and standard deviation of 10 observations are 20 and 8 respec...

    Text Solution

    |