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+4)=16` at (2,2)

Text Solution

AI Generated Solution

To find the equation of the normal to the curve given by \( y(x^2 + 4) = 16 \) at the point \( (2, 2) \), we will follow these steps: ### Step 1: Differentiate the equation implicitly We start with the equation of the curve: \[ y(x^2 + 4) = 16 \] To find the slope of the tangent line, we need to differentiate both sides with respect to \( x \). ...
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|51 Videos

  • FUNCTION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|115 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the normal to the curve x^2-4y^2=9 at (5,-2)

Find the equation of the normal to the curve y=|x^(2)-|x||atx=-2

The equation of normal to the curve y^(2)=8x is

Find the equation of the normal to the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at (x_(0),y_(0))

Find the equation of the normal to the curve x^2+2y^2-4x-6y+8=0 at the point whose abscissa is 2.

Find the equation of the normal to the curve y=2x^(2)+3sin x at x=0.

The equation of the normal to the curve y^2=4ax at point (a,2a) is

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

Find the equation of the normal to the curve y = 2 sin^(2) 3x "at " x = (pi)/(6)

Find the equations of the normals to the curve : 2x^(2)-y^(2)=14 , which are parallel to the line x+3y=6.

MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. The equation of tangent to the curve x^(2)+y^(2)+xy=3 at (1,1) is

    Text Solution

    |

  2. Find the equation of the tangent to the curve. y^2=4x+5 at (1,3)

    Text Solution

    |

  3. Find the equation of the normal to the curve y(x^2+4)=16 at (2,2)

    Text Solution

    |

  4. Find the equation of the normal to the curve x^2-4y^2=9 at (5,-2)

    Text Solution

    |

  5. Find the equation of tangent and normal to the curve x^((2)/(3))+y^((...

    Text Solution

    |

  6. Find the equation of tangent and normal to : The curve y=2x^2-4x+3 at ...

    Text Solution

    |

  7. Find the equation of tangent and normal to the parabola y^(2)=4ax at t...

    Text Solution

    |

  8. Find the equation of tangent and normal to : Parbola y^2=16x at the po...

    Text Solution

    |

  9. Find the equation of the tangent to the curve y=sqrt(3x-2) which is...

    Text Solution

    |

  10. Find the equation of the normal to the curve 3x^2-y^2=8 which are para...

    Text Solution

    |

  11. Find the equation of the tangent line to the curve y=x^2-2x+7 which...

    Text Solution

    |

  12. Find the equations of tangent and normal to the curve at the point whe...

    Text Solution

    |

  13. Prove that the sum of the x and y intercepts made by the tangent to th...

    Text Solution

    |

  14. Find (d^2y)/dx^2 if: y=secx-tanx

    Text Solution

    |

  15. Find (d^2y)/dx^2 if: y=x^2cosx

    Text Solution

    |

  16. Find (d^2y)/dx^2 if: sinx+cosy=1

    Text Solution

    |

  17. Find (d^2y)/dx^2 if: y^2=a^2cos^2x+b^2sin^2x

    Text Solution

    |

  18. Find (d^2y)/dx^2 if: x^3+y^3-3axy=0

    Text Solution

    |

  19. If xsqrt(1-y^2)+ysqrt(1-x^2)=0, find the value of (d^2y)/dx^2 when y=1

    Text Solution

    |

  20. If sqrty+1/sqrty=2x, show that (x^2-1)y2+xy1-4y=0

    Text Solution

    |