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

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

Text Solution

Verified by Experts

The correct Answer is:
`(-a)/(2b)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS WITH ANSWERS (C) APPROXIMATIONS|9 Videos
  • APPLICATION OF DERIVATIVES

    SUBHASH PUBLICATION|Exercise EXERCISE|22 Videos
  • APPLICATION OF DERIVATIVES

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS WITH ANSWERS (A) DECREASING AND INCREASING FUNCTIONS|23 Videos
  • ANNUAL EXAMINATION QUESTION PAPER MARCH 2017

    SUBHASH PUBLICATION|Exercise PART-D|9 Videos
  • APPLICATIONS OF INTEGRALS

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|5 Videos

Similar Questions

Explore conceptually related problems

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

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

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

x = a cos theta, y = b 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 :

If ST and SN are the lengths of the subtangent and the subnormal at the point theta =(pi)/(2) on the curve x = a (theta + sin theta), y = a (1 - cos theta), a ne1 then...

The normal to the curve x = a (1+cos theta), y = a sin theta at theta always passes through the fixed point

The locus of the point x=a+b cos theta y=b+a sin theta is

The locus of the point x=a(cos theta+sin theta) y=b (cos theta-sin theta) is

SUBHASH PUBLICATION-APPLICATION OF DERIVATIVES -THREE MARKS QUESTIONS WITH ANSWERS (B) TANGENTS AND NORMALS
  1. Find the slope of the tangent to the curve y = x^(3) - 3x + 2 at the p...

    Text Solution

    |

  2. Find the slope of the normal to the curve x = a cos^(3)theta, y = a si...

    Text Solution

    |

  3. Find the slope of the normal to the curve x = 1 - a sin theta, y = b c...

    Text Solution

    |

  4. Find points at which the tangent to the curve y = x^(3) - 3x^(2) - 9x ...

    Text Solution

    |

  5. Find the point on the curve y = (x - 2)^(2) at which the tangent is pa...

    Text Solution

    |

  6. Find the equations of the tangent and normal to the given curve at the...

    Text Solution

    |

  7. Find the equations of the tangent and normal to the given curve at the...

    Text Solution

    |

  8. Find the equations of the tangent and normal to the given curve at the...

    Text Solution

    |

  9. Find the equations of the tangent and normal to the given curve at the...

    Text Solution

    |

  10. Find the equations of the tangent and normal to the given curve at the...

    Text Solution

    |

  11. Find the slope of the tangent to the curve y = x^(3) - x at x = 2.

    Text Solution

    |

  12. Find the point at which the tangent to the curve y = sqrt(4x - 3) - 1 ...

    Text Solution

    |

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

    Text Solution

    |

  14. Find the equation of all lines having slope -1 that are tangent to the...

    Text Solution

    |

  15. Find the equation of all lines having slope -2 that are tangent to the...

    Text Solution

    |

  16. Find the equation of all lines having slope 0 which are tangents to th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Find the equation of the tangent line to the curve y = x^(2) - 2x + 7 ...

    Text Solution

    |

  20. Find the equation of the tangent line to the curve y = x^(2) - 2x + 7 ...

    Text Solution

    |