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

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)`

Text Solution

Verified by Experts

The correct Answer is:
`(x x_(0))/(a^(2))-(yy_(0))/(b^(2))=1;(x-x_(0))/(b^(2)x_(0))+(y-y_(0))/(a^(2)y_(0))=0`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE (Multiple choice questions)|3 Videos

  • APPLICATION OF INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE|36 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

Similar Questions

Explore conceptually related problems

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)

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 tangents and normal lines to the y = x^2 at (0, 0)

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

Find the equations of the tangent and normal to the parabola y^2=4a x at the point (a t^2,2a t) .

Find the equations of the tangents and normal lines to the y = 2x^2 -3x - 1 at (1,-2)

Find the equation of the tangent to the curve (X^2)/(a^2) + (y^2)/(b^2) = 1 at (x_0.y_0)

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

BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE
  1. Using differentials to approximate 3sqrt0.009

    Text Solution

    |

  2. The radius of a circle is increasing uniformly at the rate of 5cm/sec....

    Text Solution

    |

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

    Text Solution

    |

  4. Find the equation of tangent and normal to the hyprobola x^(2)=4y at (...

    Text Solution

    |

  5. Find both the maximum value and the minimum value of 3x^4-8x^3+12x^2-4...

    Text Solution

    |

  6. Find the maximum value of 2x^3 - 24x + 107 in the interval [1,3]. Fin...

    Text Solution

    |

  7. Find local maximum and local minimum value of f(x)=xsqrt(1-x:x)gt0

    Text Solution

    |

  8. Sand is pouring from a pipe at the rate of 12 cubic cm./sec. The falli...

    Text Solution

    |

  9. Find the slope of the tangent to the curve y = 3x^4 - 4x at x = 4 .

    Text Solution

    |

  10. Find the slope of the tangent to the curve y = (x-1)/(x-2) at x = 10.

    Text Solution

    |

  11. Find the equation of the tangents to the function y = x^3 + 2x + 6, wh...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the equation of the tangent line to the curve y = x^2 - 2x + 9, w...

    Text Solution

    |

  14. Find the equation of the tangent to the curve, y = x^2 - 3x + 7 which ...

    Text Solution

    |

  15. Find the equation of the tangent to the curve y = x^2 - 4x + 11 which ...

    Text Solution

    |

  16. Find the intervals in which the following are strictly increasing and ...

    Text Solution

    |

  17. Find the intervals in which the following are strictly increasing and ...

    Text Solution

    |

  18. Find the intervals in which the following are strictly increasing and ...

    Text Solution

    |

  19. Find the intervals in which the following are strictly increasing and ...

    Text Solution

    |

  20. Find the intervals in which the following are strictly increasing and ...

    Text Solution

    |