Home
Class 12
MATHS
If x=2cost+cos2t,y=2 sint-sin2t, then (d...

If `x=2cost+cos2t,y=2 sint-sin2t`, then `(dy)/(dx)` at `t=(pi)/(4)` is

A

`-(+sqrt2)`

B

`1-sqrt2`

C

`1/sqrt2`

D

`sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos
  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

If x = sin t. cos 2t, y = cost sin 2t then dy/dx at t = pi/4 is

If x=2cost-cos2t,y=2sint-sin2t , then the value of (d^(2)y)/(dx^(2)) at t=pi//2 is :

If x= sint, y= cos2t then prove that (dy)/(dx)= -4sint

If x=e^(-t^(2)), y=tan^(-1)(2t+1) , then (dy)/(dx)=

If x=sint, y=cos 2t then prove that (dy)/(dx) =-sin t

Find (dy)/(dx), " if "y=12 (1-cos t), x= 10(t-sin t), -(pi)/(2) lt t lt (pi)/(2) .

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If sin y = x. sin (a + y) then dy/dx =

    Text Solution

    |

  2. If x = (1-t^(2))/(1+t^(2)) and y = (2t)/(1+t^(2))then dy/dx =

    Text Solution

    |

  3. If x=2cost+cos2t,y=2 sint-sin2t, then (dy)/(dx) at t=(pi)/(4) is

    Text Solution

    |

  4. The differential of e^(x^(3)) with respect to log x is

    Text Solution

    |

  5. The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^...

    Text Solution

    |

  6. The differential coefficient of f(sin x) with respect to x where f(x) ...

    Text Solution

    |

  7. If x=a(t-(1)/(t)),y=a(t+(1)/(t)) then (dy)/(dx)=

    Text Solution

    |

  8. y = tan^(-1) (sec x - tan x), then dy/dx =

    Text Solution

    |

  9. If y = (e^(x)+e^(-x))/(e^(x)-e^(-x))then is equal to...

    Text Solution

    |

  10. Ify = tan^(-1) ((sqrt(1+x^(2)) -sqrt(1-x^(2)))/(sqrt(1+x^(2)) + sqrt(1...

    Text Solution

    |

  11. If f (x) and g (x) are two functions with g(x)=x-(1)/(x) and fog (x)=x...

    Text Solution

    |

  12. The derivative of a^(sec x) w.r.t. a^(tan x)(a gt 0) is

    Text Solution

    |

  13. If sec^(-1)((1+x)/(1+ y)) = a, then (dy)/(dx) is

    Text Solution

    |

  14. If y = sin^(3^(-x)) then dy/dx =

    Text Solution

    |

  15. alpha+beta are the zeroes of the polynomial x^(2)-6x+4, then the value...

    Text Solution

    |

  16. The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^...

    Text Solution

    |

  17. y = tan^(-1) (sec x - tan x), then dy/dx =

    Text Solution

    |

  18. If sqrt(1-x^(2) ) + sqrt(1-y^(2)) = x-y, then dy/dx =

    Text Solution

    |

  19. If x^(y) = log x, then dy/dx at the point where the curve cut the x-ax...

    Text Solution

    |

  20. If y = a^(x), then (d^(2)y)/(dx^(2)) =

    Text Solution

    |