Home
Class 12
MATHS
Find the equations of the tangent and th...

Find the equations of the tangent and the normal to the curve `x^2/a^2-y^2/b^2=1` at the point `(sqrt2a,b)`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangent and normal to the curve (X^2)/(a^2) - (y^2)/(b^2) = 1 at the point (sqrt2a,b)

Find the equations of the tangent and normal to the hyperbola x^2/a^2 - y^2/b^2 = 1 at the point (x_0,y_0)

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 tangent to the curve x^2/a^2-y^2/b^2=1 at the point (x_1,y_1)

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

Find the equations of the tangent and the normal to the curve y = x^2 + 4x + 1 at the point whose abscissa is 3.

Find the equations of the tangent and normal to the parabola y^2 = 4ax at the point (at^2, 2at)

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the length of tangent, subtangent normal and subnormal to y^2=4ax...

    Text Solution

    |

  2. Find the equation of the tangent to the ellipse (x^2)/a^2+(y^2)/(b^2) ...

    Text Solution

    |

  3. Find the equations of the tangent and the normal to the curve x^2/a^2-...

    Text Solution

    |

  4. Find the equation of the normal to the curve ay^2 =x^3 at (am^2 ,am^3)

    Text Solution

    |

  5. Find the equation of the tangent to the curve 2x^(2)-y=-7, which is pa...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Find the equations of the tangents to the curve: y = x^3 + 2 x -4. Whi...

    Text Solution

    |

  10. Find the equation of the normals to the curve y = x^3+2x+6 which are ...

    Text Solution

    |

  11. Find the equations of the normals to the curve: 3x^2-y^2=8, which are ...

    Text Solution

    |

  12. If the normal at any point on the curve x^(2//3) + y^(2//3) = a^(2//3)...

    Text Solution

    |

  13. Find the equation of the normal to curve x^2 = 4y which passes through...

    Text Solution

    |

  14. Find the equation of the normal to the curve: y^2 = 4x, which passes t...

    Text Solution

    |

  15. Find the equation of the tangent to the curve: y = x^2 - 2x + 9, which...

    Text Solution

    |

  16. Find the equation of tangent to the curve y = x^3 - 2x^2 - 2x at which...

    Text Solution

    |

  17. Find the equation of the tangent to the curve y = sqrt(5x-3), which is...

    Text Solution

    |

  18. Find the equation of the tangents to the function y = 4x^3 - 3x + 5, w...

    Text Solution

    |

  19. Find the equation of the normals to the curve y = x^3+2x+6 which are ...

    Text Solution

    |

  20. Find the equations of the normal to the curve: y = x^3 + 5x^2 - 10 x +...

    Text Solution

    |