Home
Class 12
MATHS
If x = theta cos theta + sin theta, y = ...

If `x = theta cos theta + sin theta, y = cos theta- theta sin theta`, then dy/dx at `theta = pi/2`

A

`-pi/2`

B

`2/pi`

C

`pi/4`

D

`4/pi`

Text Solution

Verified by Experts

The correct Answer is:
D
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

x = a cos theta, y = b sin theta .

If x = a(cos theta + theta sin theta), y = a (sintheta - theta cos theta), dy/dx =

If x = a(cos theta + theta sin theta), y = a (sin theta - theta cos theta), (dy)/(dx) =

x = cos theta - cos 2 theta, y = sin theta - sin 2 theta . then find dy/dx

x = a (cos theta + theta sin theta), y = a (sin theta - theta cos theta) . then find dy/dx

If x = a (cos theta + theta sin theta), y = a(sin theta - theta cos theta) then (d^(2)y)/(dx^(2)) =

Show that (1)/( cos theta ) -cos theta =tan theta .sin theta

The slope of the normal to the curve : x=a(cos theta+theta sin theta), y =a(sin theta-theta sin theta) at any point 'theta' is :

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If x^(y).y^(x) = c, then dy/dx at (e,e) is

    Text Solution

    |

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

    Text Solution

    |

  3. If x = theta cos theta + sin theta, y = cos theta- theta sin theta, th...

    Text Solution

    |

  4. If x = a sin^(2) t, y = a cos^(2)t, then dy/dx

    Text Solution

    |

  5. x = cos^(3)t, y = sin^(3)t, then dy/dx at t = pi/4is

    Text Solution

    |

  6. If x = 2/t^(2), y = t^(3)-1, (d^(2)y)/(dx^(2) ) =

    Text Solution

    |

  7. Find (dy)/( dx), if x=a [ cos t + log ( tan ""t//2)]& y= a sin t

    Text Solution

    |

  8. If x =a(theta - sin theta), y = a (1- cos theta) then dy/dx at pi/2 is

    Text Solution

    |

  9. If x = e^(cos t), y = e^(sin t), then dy/dx =

    Text Solution

    |

  10. x = a cos theta, y = b sin theta.

    Text Solution

    |

  11. If x = theta . Sin 2 theta, y = theta . cos 2 theta then dy/dx at thet...

    Text Solution

    |

  12. If x = e^(sin t), y = e^(cos t), then dy/dx =

    Text Solution

    |

  13. If x = cos^(-1) (1/(sqrt(1+t^(2)))), y = sin^(-1) (t/(sqrt(1+t^(2))))...

    Text Solution

    |

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

    Text Solution

    |

  15. Derivatives cos^(-1) (2x^(2)-1) w.r.t sqrt(1+3x) at x = -1/3 is

    Text Solution

    |

  16. Derivatives sin^(-1) ((sqrt(1+x)+sqrt(1-x))/2) w.r.t cos^(-1)x is

    Text Solution

    |

  17. Derivative of sec^(-1) (1/(2x^(2)-1)) w.r.t sqrt(1-x^(2)) is

    Text Solution

    |

  18. The derivative of tan^(-1) [(sqrt(1 + x^(2)) - 1)/(x)] with respect to...

    Text Solution

    |

  19. Derivative of log(sec x) w.r.t tan x is

    Text Solution

    |

  20. Derivative of cos^(-1)x w.r.t sin^(-1)x is

    Text Solution

    |