Home
Class 12
MATHS
The latus rectum through one focus subte...

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

A

4

B

`sqrt(3)`

C

2

D

`sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

Similar Questions

Explore conceptually related problems

If the latus rectum subtends right angle at the centre of the hyperbola then its eccentricity is

If the latus rectum subtends a right angle at the centre of a hyperbola then its eccentricity is

The latus rectum of a hyperbola through one focus subtends 60^(circ) at the other focus then its eccentricity is

If the latus-rectum of the ellipse is half the minor axis, then its eccentricity is :

If the chord which is normal to the parabola y^(2)=4ax at one end subteneds a right angle at the vertex then its slope is

The area of the triangle formed by the lines joining the vertex of the parabola x^(2)=12y to the ends of latus rectum is

The area of the triangle formed by the linea joining the vertex of th parabola x^(2) = 12y to the ends of Latus rectum is

If e_(1) and e_(2) are the eccentricities of a hyperbola and its conjugate then

If(0, 6) and (0,3) are respectively the vertex & focus of a parabola then its equation is

The distance between the focii of a hyperbola is 16 and its eccentricity is sqrt2 . Its equation is

HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The distance between the foci is 4 sqrt(13) and the length of the conj...

    Text Solution

    |

  2. If the latus rectum subtends a right angle at the centre of a hyperbo...

    Text Solution

    |

  3. The latus rectum through one focus subtends a right angle at the fart...

    Text Solution

    |

  4. The latus rectum of a hyperbola through one focus subtends 60^(circ) a...

    Text Solution

    |

  5. The eccentricity of the hyperbola 9 x^(2)-16 y^(2)-18 x-32 y-151=0 i...

    Text Solution

    |

  6. The centre of the hyperbola 9 x^(2)-16 y^(2)+72 x-32 y=16 is

    Text Solution

    |

  7. The centre of the hyperbola 9 x^(2)-16 y^(2)-18 x-32 y=151 is

    Text Solution

    |

  8. The length of the transverse axis of the hyperbola 4 x^(2)-9 y^(2)+...

    Text Solution

    |

  9. The eccentricity of the hyperbola 4x^(2)-9y^(2)-8x=32 is

    Text Solution

    |

  10. The distance between the foci is 16 and the eccentricity is sqrt(2). T...

    Text Solution

    |

  11. A hyperbola with eccentricity e=2 has a focus at (0,0) and correspondi...

    Text Solution

    |

  12. The equation of the hyperbola with centre (0,0), distance between the ...

    Text Solution

    |

  13. Tangent to hyperbola 4 x^(2)-5 y^(2)=16 at (3,-2) is

    Text Solution

    |

  14. The line 5 x+12 y=9 touch the hyperbola x^(2)-9 y^(2)=9 at

    Text Solution

    |

  15. The conjugate axis of a hyperbola is 8 and passes through (3,-2) . The...

    Text Solution

    |

  16. The tangents to hyperbola 3 x^(2)-y^(2)=3 which are perpendicular to t...

    Text Solution

    |

  17. The equation to the normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1...

    Text Solution

    |

  18. The equation of the normal at theta=(pi)/(6) to the hyperbola 3 x^(2)-...

    Text Solution

    |

  19. The normal to hyperbola 4 y^(2)-5 x^(2)=20 at the point (-4,5) is give...

    Text Solution

    |

  20. The asymptotes of the hyperbola are y pm x sqrt(3)=0 and it passes thr...

    Text Solution

    |