Home
Class 12
MATHS
The equation of the normal to the hyperb...

The equation of the normal to the hyperbola `x^(2)-4y^2=5` at (3,-1) is

A

4x+3y-15=0

B

4x-3y-15=0

C

4x+3y+5=0

D

4x+4y+15=0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Examples|10 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Solved Examples|47 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -II|42 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

Similar Questions

Explore conceptually related problems

A : The eqution of the normal to the hyperbola x^(2) -4y^(2) =5 at (3,-1) is 4x -3y = 15 R : The equation of the normal to the hyperbola (x^(2))/( a^(2))-(y^(2))/(b^(2)) =1 at (x_1,y_1) "is" ( a^(2)x)/( x_1) +(b^(2)y)/( y_1) =a^(2) +b^(2)

Find the equation of the normal to the hyperbola x^(2)-3y^(2)=144 at the positive end of the latus rectum.

Find the equation of the normal at (1, 0) on the hyperbola x^(2) - 4y^(2) = 1

The equation of the normal to the hyperbola (x^(2))/(25) -(y^(2))/(9) =1 at the point theta = (pi)/(4) is

Find the equation of tangent to the hyperbola 3x^(2) - 4y^(2) = 8 at (2, - 1)

The equation to the normal to the parabola y^(2)=4x at (1,2) is

The equation of the tangent to the hyperbola 3x^(2) -2y^(2) =10 at(2,1) is

The equation of the chord of the hyperbola 4x^(2) -9y^(2) =36 having (-2,1) as its mid-point is

The equation of the normal to the circle x^(2)+y^(2)+6x+4y-3=0 at (1,-2) to is

The equation of the normal to the curve x^(2)=4y at (1,2) is

AAKASH SERIES-HYPERBOLA-Practice Exercise
  1. The radius of the director circle of the hyperbola x^2//25-y^(2)//9=1 ...

    Text Solution

    |

  2. The radius of the auxiliary circle of the hyperbola x^(2)//25-y^(2)//9...

    Text Solution

    |

  3. The equation of the normal to the hyperbola x^(2)-4y^2=5 at (3,-1) is

    Text Solution

    |

  4. Tangents to the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 makes angles theta...

    Text Solution

    |

  5. Tangents are drawn to 3x^(2)-2y^(2)=6 from a point P. If the product o...

    Text Solution

    |

  6. The chords of contact al P.w.r.t. x^(2)-y^(2)=a^2 and x^(2)+y^(2)=a^(2...

    Text Solution

    |

  7. The equation to the common tangent to the hyperbolas (x^(2))/(25)-y^(2...

    Text Solution

    |

  8. The point of intersection of two tangents to hyperbola x^(2)/a^(2)-y^(...

    Text Solution

    |

  9. The locus of the midpoints of chords of the hyperbola 3x^(2)-2y^(2)+4x...

    Text Solution

    |

  10. The mid point of the chord x+2y+3=0 of the hyperbola x^(2)-y^(2)=4 is

    Text Solution

    |

  11. The equation of the tangent to the hyperola x^(2)/9-y^(2)/4=1 at the p...

    Text Solution

    |

  12. Equation of normal to x^(2)-4y^(2)=5 at theta=45^(@) is

    Text Solution

    |

  13. The equation of asymptotes of the hyperbola 4x^(2)-9y^(2)=36 is

    Text Solution

    |

  14. The equation to the pair of asymptotes of the hyperola 2x^(2)-y^(2)=1 ...

    Text Solution

    |

  15. Show that product of lengths of the perpendicular from any point on th...

    Text Solution

    |

  16. The equation of one asymptote of the hyperbola 14x^(2)+38y+20y^(2)+x-7...

    Text Solution

    |

  17. The equation of the hyperbola is xy-4x+3y=0 and its asymptotes are xy-...

    Text Solution

    |

  18. The equation of the hyperbola whose asymptotes are 3x+4y-2=0, 2x+y+1=0...

    Text Solution

    |

  19. No part of the hyperbola x^(2)/(a^(2))-y^(2)/b^(2)=1. Lies between whi...

    Text Solution

    |

  20. Assertion (A): The pair of asymtotes of x^(2)/(10)-y^(2)/4=1 and the p...

    Text Solution

    |