Home
Class 12
MATHS
Find the slope of the normal to the c...

Find the slope of the normal to the curve `x=1-asintheta` , `y=b\ cos^2theta` at `theta=pi/2` .

Text Solution

Verified by Experts

Given, `x=1-asintheta` , `y=b\ cos^2theta`

`(dx)/(d theta)=-acos theta`

`(dy)/(d theta)=-2bcos theta sin theta`

Let `m` be the slope of tangent and `n` be the slope of normal

`mn=-1`

`n=-1/m`

...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN SPACE

    RD SHARMA|Exercise Solved Examples And Exercises|134 Videos

  • THE PLANE

    RD SHARMA|Exercise Solved Examples And Exercises|301 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the normal to the curve x=1-a sin theta,y=b cos^(2)theta at quad theta=(pi)/(2)

Find the slope of the normal to the curve x=1-a sin^(3) theta, y=a cos^(2)theta" at "theta=(pi)/(2) .

Find the slope of the normal to the curve x=a sin^(2) theta, y=b cos^(3)theta" at" theta=(pi)/(4) .

Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ s in^3theta at theta=pi/4 .

The slope of the normal to the curve x=a(theta-sin theta),y=a(1-cos theta) at theta=(pi)/(2)

Find the slope of the normal to the curve x = a cos^(3)theta, y=a sin^(3)theta at theta = (pi)/(4) .

Find the slope of the normal to the curve x=a cos^(3)theta,y=sin^(3)theta at quad theta=(pi)/(4)

The slope of tangent to the curve x= 1-a sin theta, y = b cos^(2) theta" at "theta = (pi)/(2) is:

Find te slope of the normal to the curve x= a cos^(2) theta and y= a sin^(3) theta" at "theta =(pi)/(4)

RD SHARMA-TANGENTS AND NORMALS-Solved Examples And Exercises
  1. Prove that the tangents to the curve y=x^2-5x+6 at the points (2, 0...

    Text Solution

    |

  2. The slope of the curve 2y^2=a x^2+b at (1,\ -1) is -1 . Find a ,\ b .

    Text Solution

    |

  3. Find the slope of the normal to the curve x=1-asintheta , y=b\ cos^...

    Text Solution

    |

  4. Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ s ...

    Text Solution

    |

  5. Find the points on the curve y=x^3-2x^2-x at which the tangent l...

    Text Solution

    |

  6. Find the point on the curve y=2x^2-6x-4 at which the tangent is ...

    Text Solution

    |

  7. At what points on the curve x^2+y^2-2x-4y+1=0, the tangents are parall...

    Text Solution

    |

  8. For which value of m is the line y = mx + 1 a tangent to the curve y^...

    Text Solution

    |

  9. Find points on the curve (x^2)/9+(y^2)/(16)=1 at which the tangents ...

    Text Solution

    |

  10. Find a point on the curve y=(x-3)^2 , where the tangent is paral...

    Text Solution

    |

  11. Find the required point be P(x1, y1)dot The tangent to the curve sqrt(...

    Text Solution

    |

  12. Find the points on the curve 4x^2+9y^2=1 , where the tangents ar...

    Text Solution

    |

  13. Find the point on the curve y=x^3-11 x+5 at which the tangent ha...

    Text Solution

    |

  14. Find the points on the curve 9y^2=x^3 where normal to the curve makes ...

    Text Solution

    |

  15. Find the slopes of the tangent and the normal to the curve y=sqrt(x...

    Text Solution

    |

  16. Find the slopes of the tangent and the normal to the curve y=sqrt(x...

    Text Solution

    |

  17. Find the slopes of the tangent and the normal to the curve y=x^3-x ...

    Text Solution

    |

  18. Find the slopes of the tangent and the normal to the curve y=2x^2+3...

    Text Solution

    |

  19. Find the slopes of the tangent and the normal to the curve x=a(thet...

    Text Solution

    |

  20. Find the slopes of the tangent and the normal to the curve x=acos^3t...

    Text Solution

    |