Home
Class 12
MATHS
If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(...

If `int_0^a(dx)/(sqrt(x+a)+sqrt(x))=int_0^(pi/8)(2tantheta)/(sin2theta)dtheta,` then value of `' a '` is a equal to`(a >0)` `3/4` (b) `pi/4` (c) `(3pi)/4` (d) `9/(16)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If I=int_0^a (dx)/(sqrt(x+a)+sqrtx)=int_0^(pi/8) (2tantheta)/(sin2theta) d(theta),(where a>0) (A) a=3/4 (B) cot((3pi)/8) (C) tan((3pi)/8) (D) tan(pi/8)

int_(0)^(a)(dx)/(x+sqrt(a^(2)-x^(2)))=(pi)/(4)

int_(0)^(pi//2) (cos theta)/(sqrt(4-sin^(2)theta))d theta is equal to

int_0^21/(1+tanx)dx is equal to (pi^)/4 (b) (pi^)/3 (c) (pi^)/2 (d) pi

int_(0)^((pi)/(4))sqrt(1+sin2x)dx

int_(0)^((pi)/(4)) sqrt(1+sin 2x) dx =

int_(0)^(pi//4)sqrt(1+cos2x)dx

int_(0)^((pi)/(4))(dx)/(cos^(3)x sqrt(2sin2x))

RESONANCE DPP-JEE MAINS-All Questions
  1. The expression in the vector form for the point vec r1 of intersectio...

    Text Solution

    |

  2. If the function f(x)=(x^2)/2+lnx+a x is always monotonically increasi...

    Text Solution

    |

  3. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

    Text Solution

    |

  4. The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt...

    Text Solution

    |

  5. "S o l v e"int0^(pi/2)(cosx)/((1+sinx)(2+sinx))dx

    Text Solution

    |

  6. If Sn=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n^2-4))++1/(sqrt(3n^2+2n-1)),n ...

    Text Solution

    |

  7. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1...

    Text Solution

    |

  8. The reflection of the point vec a in the plane vec rdot vec n=q ...

    Text Solution

    |

  9. The equation of tangent to the curve y=int(x^2)^(x^3)(dt)/sqrt(1+t^2) ...

    Text Solution

    |

  10. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  11. If f1(x)=x ,f2(x)=1-x ,f3(x)=1/x ,f4(x)=1/(1-x),f5(x)=x/(x-x),f5(x)=x/...

    Text Solution

    |

  12. Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...

    Text Solution

    |

  13. If int((x-1)dx)/(x^2sqrt(2x^2-2x+1))=(sqrt(f(x)))/(g(x))+C ,t h e n f...

    Text Solution

    |

  14. If vec a , vec ba n d vec c are unit vectors, then | vec a- vec b|^2+...

    Text Solution

    |

  15. Let lambda=int0^1(dx)/(1+x^3),p=(lim)(n->oo)[(prod(r=1)^n(n^3+r^3)...

    Text Solution

    |

  16. For f(x)=sin^2x ,x in (0,pi) point of inflection is: pi/6 (b) (2pi)/4...

    Text Solution

    |

  17. If z1& z1 represent adjacent vertices of a regular polygon on n sides...

    Text Solution

    |

  18. If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(...

    Text Solution

    |

  19. If vec a+2"" vec b+3"" vec c="" vec0 and |"" vec a|=6,|"" vec b|=3a n...

    Text Solution

    |

  20. Function f(x)=sin(lnx)-"cos"(lnx) is (a)M.I. in [e^(2npipi/4),e^(2np...

    Text Solution

    |