Home
Class 12
MATHS
If f(x)=A s in((pix)/2)+B ,f^(prime)sqrt...

If `f(x)=A s in((pix)/2)+B ,f^(prime)sqrt(2)a n dint_0^1f(x)dx=(2A)/pi,` Then which of the following is/are correct? constant B is zero & A can be any real number `A+B=4/pi` c. `A+B=4/pi+2` d. `A-B=4/pi`

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 f(x)=A si n ((pi x)/2)+B and f'(1/2)=sqrt2 and int_0^1 f(x)dx =(2A)/pi then what is the value of B

If f(x)=A sin((pi x)/(2))+B,f'((1)/(2))=sqrt(2) and int_(0)^(1)f(x)dx=(2A)/(pi) then constants A and B are

If f(x) = A sin ((pix)/(2)) + B and f'((1)/(2)) = sqrt(2) and int_(0)^(1)f(x) = (2A)/(pi) , then what is the value of B ?

If f(x)=A sin((pi x)/(2))+b,f'((1)/(2))=sqrt(2) and int_(0)^(1)f(x)dx=(2A)/(pi), then constants A and B are (pi)/(2)and(pi)/(2) (b) (2)/(pi) and (3)/(pi)0 and -(4)/(pi) (d) (4)/(pi) and 0

If f(x) = xsinx, then f'(pi/2) is a. 1/2 b. 1 c. 0 d. -1

Let f(x)=sin^(2)x&0

Given f'(x) = (cos x )/( x ), ,f ((pi)/(2)) =a, f ((3pi)/(2))=b. Find the vlaue of the definite integral int _( pi//2) ^(3pi//2) f (x) dx.

RESONANCE DPP-JEE MAINS-All Questions
  1. int(pi/4)^((3pi)/4)x/(1+sinx)dx

    Text Solution

    |

  2. A point on a parabola y^2=4a x , the foot of the perpendicular from it...

    Text Solution

    |

  3. If f(x)=A s in((pix)/2)+B ,f^(prime)sqrt(2)a n dint0^1f(x)dx=(2A)/pi, ...

    Text Solution

    |

  4. If the ratio of the roots of the equation, x^2+alphax+alpha+2=0 is ...

    Text Solution

    |

  5. The circle x^2+y^2-4x-2y=11 makes equal intercepts on the lines L1: x...

    Text Solution

    |

  6. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  7. Find the value of a ,b ,c such that curves y=x^2+a x+ba n dy=c x-x^2 ...

    Text Solution

    |

  8. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not e...

    Text Solution

    |

  9. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  10. If sum(k=1)^(k=n)tan^(- 1)(2k)/(2+k^2+k^4)=tan^(- 1)(6/7), then the va...

    Text Solution

    |

  11. A B C D is a quadrilateral. E is the point of intersection of th...

    Text Solution

    |

  12. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  13. The range of the function sin^-1(x^2+2 x),x > 0 is

    Text Solution

    |

  14. Find (dy)/(dx), when xa n dy are connected by the following relations ...

    Text Solution

    |

  15. Differentiate the following functions with respect to xdot x^(2/3)+7e...

    Text Solution

    |

  16. If 2^x+2^y=2^(x+y), then (dy)/(dx) is equal to -(2^y)/(2^x) (b) 1/(1-...

    Text Solution

    |

  17. Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is (a)...

    Text Solution

    |

  18. int(1+x+sqrt(x+x^2))/(sqrt(x)+sqrt(1+x))dx is equal to

    Text Solution

    |

  19. At the foot of a mountain the elevation of its summit is 45^0; after a...

    Text Solution

    |

  20. The angle of elevation of a jet plane from a point A on the grund is 6...

    Text Solution

    |