Home
Class 12
MATHS
If the Rolle's theorem for f(x)=e^(x)(si...

If the Rolle's theorem for `f(x)=e^(x)(sin x-cosx)` is verified on `[(pi)/4,(5pi)/4]` then the value of `C` is

A

`(pi)/(3)`

B

`(pi)/(2)`

C

`(3pi)/(4)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQs|127 Videos

  • THREE DIMENSIONAL GEOMETRY

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|150 Videos

Similar Questions

Explore conceptually related problems

If rolle's theorem for f(x) =e^(x) (sin x-cos x) is verified on [(pi)/(4),5(pi)/(4)] , then the value of c is

Verify Rolles theorem for the function: f(x)=e^(x)(sin x-cos x) on [pi/4,5 pi/4]

Verify the Rolle's theorem for f(x)=(x-1)^(2) in [1,2].

Verify Rolle's theorem for f(x)=x,x in[1,2] .

Verify Rolles theorem for function f(x)=e^(x)sin x on [0,pi]

Values of c of Rolle's theorem for f(x)=sin x-sin 2x on [0,pi]

Verify Rolles theorem for function f(x)=4^(sin x) on [0,pi]

Verify Rolles theorem for function f(x)=(6x)/(pi)-4s in^(2)x on [0,(pi)/(6)]

Verify Rolles theorem for function f(x)=e^(x)cos x on [-pi/2,pi/2]

Verify Rolles theorem for function f(x)=s in^(4)x+cos^(4)x on [0,(pi)/(2)]

NIKITA PUBLICATION-QUESTION PAPER MHT-CET 2016-MCQs
  1. Form the differential equation of the family of circles touching th...

    Text Solution

    |

  2. If A=[(1,1,0),(2,1,5),(1,2,1)] then a(11)A(21)+a(12)A(22)+a(13)A(23) i...

    Text Solution

    |

  3. If the Rolle's theorem for f(x)=e^(x)(sin x-cosx) is verified on [(pi)...

    Text Solution

    |

  4. The joint equation of lines passing through the origin and trisecting ...

    Text Solution

    |

  5. If 2tan^(-1)(cosx)=tan^(-1)(2cosecx), then sinx +cosx is equal to

    Text Solution

    |

  6. Direction cosines of the line (x+2)/(2)=(2y-5)/(3),z=-1 are

    Text Solution

    |

  7. int(dx)/(sqrt(8+2x-x^(2)))

    Text Solution

    |

  8. The approximate value of f(X) = x^(3) +5x^(2)-7x+9 at x= 1.1 ...

    Text Solution

    |

  9. IF r.v X : waiting time in minutes for bus and p.d.f of X is...

    Text Solution

    |

  10. In DeltaABC,(a-b)^(2)"cos"^(2)(C)/(2)+(a+b)^(2)"sin"^(2)(C)/(2) is eq...

    Text Solution

    |

  11. Derivative of log(sectheta+tantheta) with respect to sectheta at theta...

    Text Solution

    |

  12. The joint equation of bisectors of angles between lines x=5 and y=3 is

    Text Solution

    |

  13. A particle moves along the curve 6y = x^3 + 2. Find the points on the...

    Text Solution

    |

  14. If the function f(x) defined by f(x)={:{(xsin((1)/(x)),"for"xne0),(k,"...

    Text Solution

    |

  15. If y = e^(m) sin^(-1) x and (1-x^(2)) ((dy)/(dx))^(2) = At^(2) , then...

    Text Solution

    |

  16. int((4e^x-25)/(2e^x-5))dx=A x+B log/(2e^x)-5/(+c) then

    Text Solution

    |

  17. (tan^(-1)(sqrt3)-sec^(-1)(-2))/(cosec^(-1)(-sqrt2)+cos^(-1)(-(1)/(2)))...

    Text Solution

    |

  18. For what value of k, the function defined by f(x)={((log(1+2x)sin x^...

    Text Solution

    |

  19. If log(10)((x^(2)-y^(2))/(x^(2)+y^(2)))=2 , then (dy)/(dx)=

    Text Solution

    |

  20. Evaluate the following : int(-pi//2)^(pi//2)log((2-sinx)/(2+sinx))d...

    Text Solution

    |