Home
Class 12
MATHS
The equations of the tangents to the hyp...

The equations of the tangents to the hyperbola ` 9x^(2) -16y^(2) =144 ` at the ends of latus rectum are

A

` 5x+-2y=26`

B

`5x+ -3y=26`

C

`5x+-4y=16`

D

` 5x+-5y =16`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B|32 Videos

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 1|4 Videos

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

Similar Questions

Explore conceptually related problems

The equations of the tangents to the ellipse 9x^(2)+16y^(2)=144 at the ends of the latus rectum are

The equation of the tangent to the ellipse 9x^(2)+16y^(2)=144 at the positive end of the latusrectum is

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

The eccentricity of the hyperbola 9x^(2) -16y^(2) =144 is

The equation of the axes of the hyperbola 9x^(2) -16y^(2) +72x -32y -16=0 are

Find the equation of the tangent to the hyperbola 4x^(2)-9y^(2)=36" at "theta=pi/4

Find the equation of the tangent and normal to the ellipse 9x^2+16y^2=144 at the end of the latus rectum in the first quadrant.

The equation of the tangent to the parabola y^(2)=4x at the end of the latus rectum in the fourth quadrant is

The equations of the latus recta of the hyperbola 9x^(2) -16y^(2) -18x -32y -151 =0 are

The length of the latus rectum of the hyperbola 25x^(2)-16y^(2)=400 is

DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The equation of the tangents to the hyperbola 3x^(2) -4y^(2) =12 whic...

    Text Solution

    |

  2. The equations of the tangents to the hyperbola 2x^(2) -3y^(2) =6 whic...

    Text Solution

    |

  3. The equations of the tangents to the hyperbola 9x^(2) -16y^(2) =144 ...

    Text Solution

    |

  4. The equations of the tangents to the hyperbola 3x^(2) -4y^(2) =12 whi...

    Text Solution

    |

  5. The equations of the tangents to the hyperbola 4x^(2) -5y^(2) =20 wh...

    Text Solution

    |

  6. Equation of one of the tangents passing through (2, 8) to the hyperbol...

    Text Solution

    |

  7. The point of contact of 5x+6y+1=0 to the hyperbola 2x^(2)-3y^(2)=2 is

    Text Solution

    |

  8. The number of tangents to x^(2)//9 -y^(2) //4=1 through (6,2) is

    Text Solution

    |

  9. If m1,m2 are slopes of the tangents to the hyperbola x^(2) //25 -y^...

    Text Solution

    |

  10. The equations of the direcrtor cirlce of x^(2) //12 -y^(2)//8=1 is

    Text Solution

    |

  11. The equations of the auxiliary circle of x^(2) //16-y^(2) //25 =1 is

    Text Solution

    |

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

    Text Solution

    |

  13. The tangents at a point P on x^(2)//a^(2) -y^(2)//b^(2) =1 cuts one ...

    Text Solution

    |

  14. The locus of the point of interection of two tangents of the hyperbola...

    Text Solution

    |

  15. The locus of the point of interection of two tangents of the hyperbola...

    Text Solution

    |

  16. The locus of the point of intersection of two tangents to the hyperbol...

    Text Solution

    |

  17. Tangents to the hyperbola x^(2) //a^(2) -y^(2)//b^(2) =1 make angle ...

    Text Solution

    |

  18. Tangents to the hyperbola x^(2)//a^(2) -y^(2)//b^(2)= 1 make angle th...

    Text Solution

    |

  19. Tangents to x^(2) //a^(2) -y^(2)//b^(2) =1 make angles theta1 ,thet...

    Text Solution

    |

  20. Tangents drawn from (alpha , beta ) to the hyperbola x^(2) //a^(2) ...

    Text Solution

    |