Home
Class 12
MATHS
If y=a sin t, x=a cos t then find (dy)/(...

If y=a sin t, x=a cos t then find `(dy)/(dx)`.

Text Solution

Verified by Experts

The correct Answer is:
`-cot t`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILTY

    CBSE COMPLEMENTARY MATERIAL|Exercise 2 Marks Questions|20 Videos

  • CONTINUITY AND DIFFERENTIABILTY

    CBSE COMPLEMENTARY MATERIAL|Exercise 4 Marks Questions|36 Videos

  • APPLICATIONS OF INTEGRALS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR/SIX MARK QUESTIONS|26 Videos

  • DIFFERENTIAL EQUATIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|4 Videos

Similar Questions

Explore conceptually related problems

If x=a(t+sin t),y=a(1+cos t), then find (dy/dx)

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

If x=a(t-sin t),y=a(1-cos t), then (dy)/(dx) is equal to

If x=a(t-sin t) and y=a(1+cos t) then (dy)/(dx)=

If x=sin t-t cos t and y = t sin t +cos t, then what is (dy)/(dx) at point t=(pi)/(2)?

If x=a(cos2t+2t sin2t) and y=a(sin2t-2t cos2t), then find (d^(2)y)/(dx^(2))

If x=a (t+sin t) and y=a(1-cos t ) then find dy/dx .

If x=10(t-sin t),y=12(1-cos t), find (dy)/(dx)

If x=a(cos t+(1)/(2)log tan^(2)t) and y=a sin t then find (dy)/(dx) at t=(pi)/(4)

If x=a ( tcos t- sin t ) ,y =a ( tsin t +cos t ),then (dy)/(dx) =

CBSE COMPLEMENTARY MATERIAL-CONTINUITY AND DIFFERENTIABILTY-4 Marks Questions
  1. If y=a sin t, x=a cos t then find (dy)/(dx).

    Text Solution

    |

  2. Examine the continuity of the following function at the indicated pion...

    Text Solution

    |

  3. Examine the continuity of the following function at the indicated pion...

    Text Solution

    |

  4. Examine the continuity of the following function at the indicated pion...

    Text Solution

    |

  5. Examine the continuity of the following function at the indicated pion...

    Text Solution

    |

  6. Given that f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),(...

    Text Solution

    |

  7. For what values of constant K, the following functions are continuous ...

    Text Solution

    |

  8. For what values of constant K, the following functions are continuous ...

    Text Solution

    |

  9. For what values a and b f(x)={{:(,(x+2)/(|x+2|)+a,if x lt -2),(,a+b,if...

    Text Solution

    |

  10. Determine the values of a ,\ b ,\ c for which the function f(x)={(s...

    Text Solution

    |

  11. f(x)={{:(,[x]+[-x], x ne 0),(,lambda,x=0):} Find the value of lambda...

    Text Solution

    |

  12. Let f(x)={{:((1-sin^(3)x)/(3cos^(2)x),"if "x lt(pi)/(2)),(a,"if "x=(pi...

    Text Solution

    |

  13. If f(x)={x^2+3x+a ,xlt=1b x+2,forx >1 is everywhere differentiable, f...

    Text Solution

    |

  14. Find the realtionship between a and b so that the function defined by ...

    Text Solution

    |

  15. Differentiate tan^(-1)((sqrt(1-x^(2)))/(x)) w.r.t. cos^(-1)(2xsqrt(1-x...

    Text Solution

    |

  16. If y=x^(x^(x)), "then find "(dy)/(dx).

    Text Solution

    |

  17. Differentiate (x cos x)^(x)+(x sin x)^(1/x) w.r.t.x.

    Text Solution

    |

  18. If x^m y^n=(x+y)^(m+n) , prove that (dy)/(dx)=y/x .

    Text Solution

    |

  19. If (x-y)dot(x-y)/x=a , Prove that y(dy)/(dx)+x=2ydot

    Text Solution

    |

  20. If x=tan(1/alogy) , show that (1+x^2)(d^2y)/(dx^2)+(2x-a)(dy)/(dx)=0 .

    Text Solution

    |

  21. If y=xlog"{"x/((a+b x))"]" , then show that x^3(d^2y)/(dx^2)=(x(dy)/(d...

    Text Solution

    |