Home
Class 12
MATHS
If x=2 cos t+cos 2t and y=2 sin t-sin2t,...

If `x=2 cos t+cos 2t` and `y=2 sin t-sin2t`, then the value of `(dy)/(dx)` at `t=(pi)/(4)` is -

A

`-(sqrt(2)+1)`

B

`sqrt(2)`

C

`sqrt(2)-1`

D

`1-sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 3|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 4|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If x = 3 tant and y = 3 sec t, then the value of (d^2y)/(dx^2)" at" t=pi/4 is

If x=sin t sqrt(cos2t) and y=cos tsqrt(sin2t) , find (dy)/(dx) at t=(pi)/(4) .

If x=a(cos t+t sin t) and y=a(sin t-t cos t)," find "(dy)/(dx) " at " t=(3pi)/(4)

If x=acos2t, y=asin2t, find the value of (d^2y)/(dx^2) in terms of t.

If x=a (cos t + t sin t) and y=a ( sin t- t cos t) , find (d^(2)y)/(dx^(2))

If t is a parameter and x=t^(2)+2t, y=t^(3)-3t , then the value of (d^(2)y)/(dx^(2)) at t=1 is -

If x=a (cos t +t sin t)" and "y= a (sin t -t cos t) , find (d^(2)y)/(dx^(2)) .

If x = 3 cos t - 2 cos^3 t,y = 3 sin t- 2 sin^3 t, then dy/dx is

If x= e^(cos2t) and y = e^(sin2t) , then move that (dy)/(dx) = -(ylogx)/(xlogy) .

If x=sin^(-1) t, y=log(1-t^(2)), 0 le t lt 1 , then the value of (d^(2)y)/(dx^(2)) at t=(1)/(3) is -

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 2
  1. If y=(x+sqrt(1+x^(2)))^(n), then (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(d...

    Text Solution

    |

  2. If sin y+e^(-x cos y)=e, then the value of (dy)/(dx) at (1, pi) is -

    Text Solution

    |

  3. If x=2 cos t+cos 2t and y=2 sin t-sin2t, then the value of (dy)/(dx) a...

    Text Solution

    |

  4. The value of lim(x to oo) (sqrt(x^(2)+ax)-x) is -

    Text Solution

    |

  5. If logx=z, then the value of x^(2)(d^(2)y)/(dx^(2)) is -

    Text Solution

    |

  6. The value of int e^(sqrt(x)) dx is -

    Text Solution

    |

  7. If int x sin x dx = - x cosx +m, then the value of m is -

    Text Solution

    |

  8. The value of int (a^(sqrt(x)))/(sqrt(x))dx is -

    Text Solution

    |

  9. The value of int (e^(tan^(-1)x)dx)/(1+x^(2)) is -

    Text Solution

    |

  10. The value of int(0)^((pi)/(2))(dx)/(1+cotx ) is -

    Text Solution

    |

  11. If I(1)=int(e )^(e^(2)) (dx)/(log x) and I(2)= int(1)^(2)(e^(x))/(x)...

    Text Solution

    |

  12. If I(n)=int(0)^((pi)/(4))tan^(n)thetad theta, for any positive intege...

    Text Solution

    |

  13. The value of int(1)^(2)[x^(2)]dx is -

    Text Solution

    |

  14. The value of int(-pi)^(pi) (2x(1+sinx))/(1+cos^(2)x)dx is equal to -

    Text Solution

    |

  15. The value of int(dx)/(sinx-cosx+sqrt(2)) is -

    Text Solution

    |

  16. The value of int(0)^(pi) e^(sin^(2)x) cos^(3)x dx is equal to -

    Text Solution

    |

  17. Let I=int(-2)^(2)(x-[x])dx where [x] represents the greatest integer i...

    Text Solution

    |

  18. The value of int(0)^(pi) (dx)/(5+3 cosx) is -

    Text Solution

    |

  19. The value of int e^(x)[f(x)+f'(x)]dx is equal to -

    Text Solution

    |

  20. The value of int e^(log(tan x))dx is equal to -

    Text Solution

    |