Home
Class 11
MATHS
If the latus rectum of an hyperbola be 8...

If the latus rectum of an hyperbola be 8 and eccentricity be `(3)/( sqrt5)` the the equation of the hyperbola is

A

` 4x^(2) - 5y^(2) = 100`

B

`5x^(2) - 4y^(2) = 100`

C

`4x^(2) + 5y^(2) = 100`

D

`5x^(2) + 4y^(2) = 100`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

The distance between foci of a hyperbola is 16 and its eccentricity is sqrt2 , then the equation of hyperbola is

If length of the transverse axis of a hyperbola is 8 and its eccentricity is sqrt(5)//2 then the length of a latus rectum of the hyperbola is

If the latus rectum of a hyperbola forms an equilateral triangle with the vertex at the center of the hyperbola,then find the eccentricity of the hyperbola.

If the latus rectum of a hyperbola subtend an angle of 60A^(@) at the other focus, then eccentricity of the hyperbola is

The equation of the directrix of a hyperbola is x-y+3=0. Its focus is (-1,1) and eccentricity 3. Find the equation of the hyperbola.

If the latus rectum through one focus subtends a right angle at the farther vertex of the hyperbola then its eccentricity is

The coordinates of the foci of a hyperbola are (+- 6, 0) and its latus rectum is of 10 units. Find the equation of the hyperbola.

Length of the latus rectum of the hyperbola xy-3x-4y+8=0

if the eccentricity of the hyperbola is sqrt2 . then find the general equation of hyperbola.

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. The equation x = (e ^(t) + e ^(-t))/(2), y = (e ^(t) -e^(-t))/(2), t i...

    Text Solution

    |

  2. Locus of the point of intersection of the lines mx sqrt(3) + my - ...

    Text Solution

    |

  3. Write the equation of the hyperbola whose vertices are (+-3,0) and foc...

    Text Solution

    |

  4. lf the eccentricity of the hyperbola x^2-y^2(sec)alpha=5 is sqrt3 ti...

    Text Solution

    |

  5. Standard equation of the hyperbola having distance between foci to 32 ...

    Text Solution

    |

  6. If 0 lt alpha lt (pi)/(2) and the eccentricity of the ellipse x^...

    Text Solution

    |

  7. If P is a point on the hyperbola 16x^(2) - 9y^(2) = 144 whose foci ar...

    Text Solution

    |

  8. If the latus rectum of an hyperbola be 8 and eccentricity be (3)/( sqr...

    Text Solution

    |

  9. Eccentricity of the hyperbola passing through (3,0) and (3 sqrt(2),2) ...

    Text Solution

    |

  10. Find the equation of the hyperbola whose conjugate axis is 5 and th...

    Text Solution

    |

  11. The length of the transverse axis of a hyperbola is 7 and it passes th...

    Text Solution

    |

  12. If (4,0) and (-4,0) be the vertices and (6,0) and (-6, 0) be the foci ...

    Text Solution

    |

  13. If (0 , pm 4) " and " (0, pm 2) are respectively the foci and verti...

    Text Solution

    |

  14. Eccentricity of the a hyperbola can never be equal to

    Text Solution

    |

  15. A hyperbola passes through (3,2) and (-17, 12) and has its centre at o...

    Text Solution

    |

  16. Equation of hyperbola is standard from having latus rectum = 9 and ecc...

    Text Solution

    |

  17. Distance between foci of a hyperbola is double the distance between it...

    Text Solution

    |

  18. The equation to the hyperbola having its eccentricity 2 and the distan...

    Text Solution

    |

  19. If the distance between the foci and the distance between the two d...

    Text Solution

    |

  20. The distance between the directices of the hyperboltic x = 8 sec t...

    Text Solution

    |