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

If ` x= 2cost+cos 2t,y=2sin t-sin 2t ,then " at " t= ( pi)/(4) ,(dy)/(dx) `

A

4

B

`2 sqrt2`

C

2

D

`sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Question for Previous Year.s B-Architecture Entrance Examination Papers|27 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

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

If x=sin tcos 2t,y= cos tsin 2t ,then " at " t= (pi)/(4) ,(dy)/(dx)

x= 2 cos t -cos 2t ,y=2 sin t-sin 2t Find d y / d x

If x=a cos ^(3) t,y =a sin ^(3)t,then " at" t = (pi)/(3) ,(dy)/(dx) =

If x=2cost-cos2t,y=2sint-sin2t," then "(dy)/(dx)=

If x=2cott+cos2t,y=2sint-sin2t,"find "(dy)/(dx)"at t"=(pi)/(4)

If x=2cos t-cos2t,y=2sin t-sin2t,tind(d^(2)y)/(dx^(2)) at t=(pi)/(2)

If x = 2 cos t - cos 2t , y = 2 sin t - sin 2t , then the value of |(d^(2) y)/(dx^(2))|_(t= pi//2 ) is

If x=a(2cost+cos2t),y=a(2sint+sin2t)," then "(dy)/(dx)=

If x = a (cos t + t sin t), y = a (sin t - t cos t), then at t = pi//4,(dy)/(dx)

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Question for Previous Year.s AIEEE/JEE Main Paper
  1. Let k and K be the minimum and the maximum values of the function f(x)...

    Text Solution

    |

  2. From the top of a 64 metres high tower, a stone is thrown upward verti...

    Text Solution

    |

  3. If x= 2cost+cos 2t,y=2sin t-sin 2t ,then " at " t= ( pi)/(4) ,(dy)/(d...

    Text Solution

    |

  4. Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...

    Text Solution

    |

  5. Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...

    Text Solution

    |

  6. If m and M are the minimum and the maximum values of 4+1/2 sin^2 2x-2c...

    Text Solution

    |

  7. If the tangent at a point P with parameter t, on the curve x=4t^2+3, y...

    Text Solution

    |

  8. Let f(x) =sin^4x+cos^4x. Then f is increasing function in the interval

    Text Solution

    |

  9. Let C be a curve given by y=1 + sqrt(4x-3), x gt (3)/(4) . If P is a p...

    Text Solution

    |

  10. The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve i...

    Text Solution

    |

  11. The tangent at the point (2,-2) to the curve, x^2y^2 - 2x= 4(1-y) does...

    Text Solution

    |

  12. A tangent drawn to the curve y = f(x) at P(x, y) cuts the x and y axes...

    Text Solution

    |

  13. If a point P has co-ordinates (0, -2) and Q is any point on the circle...

    Text Solution

    |

  14. The function f defined by f(x) = x^(3) - 6x^(2) - 36 x + 7 is incr...

    Text Solution

    |

  15. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  16. Let f(x) be a polynomial of degree four having extreme values at x=1 a...

    Text Solution

    |

  17. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  18. If a right circular cone, having maximum volume is inscribed in a sphe...

    Text Solution

    |

  19. Let f(x)=x^2+(1/x^2) and g(x)=x-1/x xinR-{-1,0,1}. If h(x)=(f(x)/g(x)...

    Text Solution

    |

  20. if theta denotes the acute angle between the curves, y = 10-x^2" and "...

    Text Solution

    |