Home
Class 12
MATHS
The length of the latus rectum of the hy...

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

A

`9//2`

B

`32//3`

C

`11//5`

D

`21//5`

Text Solution

Verified by Experts

The correct Answer is:
D
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

The length of the latus rectum of the hyperbola x^(2) -4y^(2) =4 is

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

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

The length of the latus rectum of the parabola 3x^(2)-9x+5y-2=0 is

The length of the latus rectum of the parabola x^(2)-4x+8y+28=0 is

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

The length of the transverse axis of the hyperbola 9x^(2) - 16y^(2) -18x -32y - 151 =0 is

AAKASH SERIES-HYPERBOLA-Practice Exercise
  1. The length of the latus rectum of the hyperbola 25x^(2)-16y^(2)=400 is

    Text Solution

    |

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

    Text Solution

    |

  3. The length of the latus rectum of the hyperbola 9x^(2) -16y^(2) +72x ...

    Text Solution

    |

  4. The equation of directrices of the hyperbola 5x^(2) -4y^(2) -30x -8y ...

    Text Solution

    |

  5. The equations of the latus recta of the hyperbola 9x^(2) -16y^(2) -18...

    Text Solution

    |

  6. If sec theta is the eccentricity of a hyper bola then the eccentricity...

    Text Solution

    |

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

    Text Solution

    |

  8. If the latusrectum subtends a right angle at the centre of the hyperbo...

    Text Solution

    |

  9. The eccentricity of the hyperola whose latus rectum subtends a right a...

    Text Solution

    |

  10. z=x+iy is a conplex number. If the imaginary part of z^(2) is 32. then...

    Text Solution

    |

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

    Text Solution

    |

  12. If the line x Cos alpha+y Sin alpha=p touches x^(2)/a^(2)-y^(2)/b^(2)=...

    Text Solution

    |

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

    Text Solution

    |

  14. The number of tangents to x^(2)//25-y^(2)//9=1 through (5,0) is

    Text Solution

    |

  15. The sum and product of the slopes of the tangents to the hyperbola x^(...

    Text Solution

    |

  16. The slopes of the tangents drawn form (0,2) to the hyperbola 5x^(2)-y^...

    Text Solution

    |

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

    Text Solution

    |

  18. The condition that the line y=mx+c may be a tangent to (y^(2))/(a^(2))...

    Text Solution

    |

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

    Text Solution

    |

  20. The radius of the director circle of the hyperbola x^2//25-y^(2)//9=1 ...

    Text Solution

    |