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

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

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

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

Find the equations of the normal to the curve y=x^3+2x+6 which are parallel to the line x+14 y+4=0.

Find the equation of the normals to the curve y = x^(3) + 2x + 6 which are parallel to the line x + 14y + 4 = 0.

Find the equation of the normal to the curve x^3+y^3=8x y at the point where it meets the curve y^2=4x other than the origin.

Find the equation of the normal to the curve y=(1+x)^y+sin^(-1)(sin^2x) at x=0.

Find the equation of the normal to the curve y=(1+x)^(y)+sin^(-1)(sin^(2)x) at x=0.

Find the equation of tangent and normal to the curve x=(2a t^2)/((1+t^2)),y=(2a t^3)/((1+t^2)) at the point for which t=1/2dot

The equation of the normal to the curve y=e^(-2|x| at the point where the curve cuts the line x=-1/2 , is

FInd the equation of the normal to the curve 3x^2-y^2=8 which is parallel to the line x+3y=4.

Find the equation of the normal to the curve x^(2)=4y, which passes through the point (1,2).

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Separate the intervals of monotonocity of the function: f(x)=-sin^3x+...

    Text Solution

    |

  2. The angle between the curves y^2 =4x+4 and y^2 =36(9−x) is?

    Text Solution

    |

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

    Text Solution

    |

  4. The ratio of capitals of three persons is 1:2:3 and the profit of 2nd ...

    Text Solution

    |

  5. There is a point (p,q) on the graph of f(x)=x^(2) and a point (r,s) on...

    Text Solution

    |

  6. Prove theat the tangent drawn at any point to the curve f(x)=x^(5)+3x^...

    Text Solution

    |

  7. Show that height of the cylinder of greatest volume which can be ins...

    Text Solution

    |

  8. A curve is defined parametrically by the the equation x=t^(2) and y=t^...

    Text Solution

    |

  9. The equation of the tangent to the curve y={(x^2sin"1/x,xne0),(0,x=0):...

    Text Solution

    |

  10. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  11. Statement 1: If f(x) is differentiable in [0,1] such that f(0)=f(...

    Text Solution

    |

  12. Find the equation of tangent to the curve y=sin^(-1)((2x)/(1+x^2)) a t...

    Text Solution

    |

  13. The lateral surface area of a cube is 169sq.cm., then the volume of th...

    Text Solution

    |

  14. Consider the polynomial function f(x)=x^7/7-x^6/6+x^5/5-x^4/4+x^3/3-x^...

    Text Solution

    |

  15. Find the equations of the normal to the curve y=x^3+2x+6 which are par...

    Text Solution

    |

  16. A sheet of area 40m^2 is used to make an open tank with square base. F...

    Text Solution

    |

  17. Let y=f(x) be a polynomial of odd degree (geq3) with real coefficients...

    Text Solution

    |

  18. Find the equation of tangent and normal to the curve x=(2a t^2)/((1+t^...

    Text Solution

    |

  19. Find the points on the curve 5x^2-8x y+5y^2=4 whose distance from the ...

    Text Solution

    |

  20. If d is the minimum distance between the curves f(x)=e^x a n dg(x)=(l...

    Text Solution

    |