Home
Class 12
MATHS
Find the equations of the tangent and no...

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

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

Find the equations of tangent and normal to the curve y(x-2)(x-3)-x+7=0 at the point where it meets the x-axis.

Find the equations of the tangent and normal to the curve x^(2/3)+y^((2)/(3))=2 at (1,1).

Find the equation of the normal to the curve y=|x^2-|x||a t x=-2.

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

Find the equation of the tangent and normal of the following curve at the specified point : y=x^(3)-3x at the point (2,2)

Find the equation of the tangent and normal to each of the following curves at the specified points : y(x-2)(x-3)+7=x and the point, the where curve intersect the x-axis.

Find the equation of the tangent and normal to each of the following curves at the specified points : x^((2)/(3))+ y^((2)/(3))=2"at" (1,1)

Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8=0 from the point (1,\ 2) .

Find the equation of the tangent and normal of the following curves at the specified points : y^(2)=4 ax at the ends of latus rectum

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

    |