Home
Class 12
MATHS
The equation of the axes of the hyperbol...

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

A

`y+1=0,x+4=0`

B

` y+2=0,x+3=0`

C

`y -1=0,x-4=0`

D

`y+3=0,x-4=0`

Text Solution

Verified by Experts

The correct Answer is:
A
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 centre of the hyperbola 9x^(2 )- 16y^(2)+ 72 x - 32y -16=0 is

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

Find the foci of the hyperbola 9x^(2) - 16y^(2) + 72 x - 32 y - 16 = 0

The length of the latus rectum of the hyperbola 9x^(2) -16y^(2) +72x -32y- 16 =0 is

The equations of the asymptotes of the hyperbola 4x^(2) -9y^(2) =36 are

The foci of the hyperbola 9x^(2) -16y ^(2)+18x +32 y- 151=0 are

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

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

Find the centre, foci, eccentricity equation of the directrices, length of the latus rectum of the hyperbola. 9x^(2)-16y^(2)+72x-32y-16=0

DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The equation of the conjugate axis of the hyperbola ((x-5)^(2))/(16) -...

    Text Solution

    |

  2. The equation of transverse axis of the hyperbola 5x^(2) -4y^(2) -30x ...

    Text Solution

    |

  3. The equation of the axes of the hyperbola 9x^(2) -16y^(2) +72x -32y -1...

    Text Solution

    |

  4. The equation of the hyperbola whose eccentricity 2 and foci are the fo...

    Text Solution

    |

  5. PN is the ordinate of any point P on the hyperbola x^(2)//a^(2) -y^(2...

    Text Solution

    |

  6. If the foci of the ellips (x^(2))/( 25)+ ( y^(2))/( 16) =1 and the hy...

    Text Solution

    |

  7. The foci of the ellips (x^(2))/( 16) +(y^(2))/( b^(2) ) =1 and the h...

    Text Solution

    |

  8. For the hyperbola (x^(2))/( cos ^(2) alpha ) -(y^(2))/(sin^(2) alpha ...

    Text Solution

    |

  9. A hyperbola passes through a focus of the ellips (x^(2))/(169) +(y^(2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. The sum and product of the slopes of the tangents to the hyperbola 2x...

    Text Solution

    |

  13. The condition that the line y = mx+c may be a tangent to the hyperbo...

    Text Solution

    |

  14. The condition that the line x cos alpha + y sin alpha =p to be a tange...

    Text Solution

    |

  15. The condition that the line (x)/(p) +(y)/( q) =1 to be a tangent to ...

    Text Solution

    |

  16. In the line 3x-y= k is a tangent to the hyperbola 3x^(2) -y^(2) =3 ...

    Text Solution

    |

  17. The values of m for which the line y =mx +2 become a tangent to the hy...

    Text Solution

    |

  18. The equation of the tangents to the hyperbola 3x^(2) -4y^(2) =12 whic...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |