Home
Class 12
MATHS
FInd the slopes of the tangents and norm...

FInd the slopes of the tangents and normals to the following curve: `x=acos^3theta`, `y=asin^3theta` at `theta =pi/4`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    PATHFINDER|Exercise QUESTION BANK|327 Videos
  • CONTINUITY & DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|13 Videos

Similar Questions

Explore conceptually related problems

Find y_2 in each of the following cases: x=acos^3theta , y=asin^3theta

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 equation of tangents at the specified points on each of the following curves : x=1- cos theta, y= theta- sin theta " at " theta =(pi)/(4)

Find the equation of tangents at the specified points on each of the following corves : x= a cos^(3) theta , y= b sin ^(3) theta at the point theta

Find the equation of the tangent and normal to each of the following curves at the specified points : x=a ( theta- sin theta), y=a( 1- cos theta) at theta =pi

Find the equation of the tangent at the specified points to each of the following curves. the ellipse x= a cos theta, y= b sin theta at theta =(pi)/(3)

Find the equation of the tangent and normal to each of the following curves at the specified points : x= asec theta, y= b tan theta at the point theta

Find the equation of the tangents and normal to the curve x= sin 3t, y= cos 2t " at " t=(pi)/(4)

Find the equation of the tangent and normal of the following curves at the specified point: y=x^(2)+4x+1 at x=3

The normal to the curve x= 3 cos theta - cos^(3) theta , y=3 sin theta - sin^(3) theta at theta = (pi)/(4) -

PATHFINDER-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. At what point of the ellipes 16x^2+9y^2=400, does the ordinate decrea...

    Text Solution

    |

  2. A particle moves along the curve 6y = x^(3) +2. Find the points on the...

    Text Solution

    |

  3. A ladder 16 cm long is leaning against a wall. The bottom of the ladde...

    Text Solution

    |

  4. Water is leaking from a conical funnel at the rate of 5 cm^3/sec. If t...

    Text Solution

    |

  5. Show that f(x)=(1/2)^x is strictly decreasing on R.

    Text Solution

    |

  6. Show that : tanx -x is strictly increasing on (0,pi/2).

    Text Solution

    |

  7. Show that the following function is strictly increasing :f(x)=x^2,x>0.

    Text Solution

    |

  8. Find the intervals on which the following function is strictly increas...

    Text Solution

    |

  9. Find the intervals on which the following function is strictly increa...

    Text Solution

    |

  10. Find the intervals on which the following function is strictly increa...

    Text Solution

    |

  11. FInd the slopes of the tangents and normals to the following curve: x=...

    Text Solution

    |

  12. Show that the tangents to the curve y=x^2-5x+6 at the point (2,0) and ...

    Text Solution

    |

  13. Find the equations of the tangent and normal to the curve y=x^2-4x-5 a...

    Text Solution

    |

  14. Find the equation of the tangent to the ellipse x^2/a^2+y^2/b^2=1 at (...

    Text Solution

    |

  15. For the curve y = 4x^(3) – 2x^(5) , find all the points at which the t...

    Text Solution

    |

  16. FInd the equation of the normal to the curve 3x^2-y^2=8 which is para...

    Text Solution

    |

  17. Show that the curve xy=a^2 and x^2+y^2=2a^2 touch each other.

    Text Solution

    |

  18. Prove that the curves x = y^(2) and xy = k cut at right angles* if 8k^...

    Text Solution

    |

  19. Find the angle of intersection of the curve x^2+y^2-4x-1=0 and x^2+y^2...

    Text Solution

    |

  20. If y=x^4-10 and if x change from 2 to 1.99, what is the approximate c...

    Text Solution

    |