Home
Class 11
MATHS
If the latus rectum of the hyperbola (x^...

If the latus rectum of the hyperbola `(x^(2))/(16)-(y^(2))/(b^(2))=1` is `(9)/(2)` , then its eccentricity, is

A

`4//5`

B

`5//4`

C

`3//4`

D

`4//3`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    OBJECTIVE RD SHARMA|Exercise Exercise|56 Videos

  • FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • INEQUALITIES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|1 Videos

Similar Questions

Explore conceptually related problems

If the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(b^(2))=-1 is (5)/(4) , then b^(2) is equal to

The eccentricity of the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 is

If the latus rectum subtends a right angle at the center of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, then find its eccentricity.

The length of the latus rectum of the hyperbola 3x ^(2) -y ^(2) =4 is

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

The latus -rectum of the hyperbola 16x^(2) - 9y^(2) = 576 is (64)/(5)

Write the length o the latus rectum of the hyperbola 16x^(2)-9y^(2)=144

OBJECTIVE RD SHARMA-HYPERBOLA-Chapter Test
  1. A rectangular hyperbola whose centre is C is cut by any circle of radi...

    Text Solution

    |

  2. The equation of the pair of asymptotes of the hyperbola xy-4x+3y=0, is

    Text Solution

    |

  3. If the latus rectum of the hyperbola (x^(2))/(16)-(y^(2))/(b^(2))=1 is...

    Text Solution

    |

  4. Chords of the hyperbola, x^2-y^2 = a^2 touch the parabola, y^2 = 4ax. ...

    Text Solution

    |

  5. Tangents drawn from the point (c,d) to the hyperbola (x^(2))/(a^(2))-(...

    Text Solution

    |

  6. If the tangent at (h, k) on b^2x^2-a^2y^2=a^2b^2 cuts the auxiliary ci...

    Text Solution

    |

  7. If the chords of contact of tangents drawn from P to the hyperbola x^(...

    Text Solution

    |

  8. The tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 me...

    Text Solution

    |

  9. The mid-point of the chord intercepted by the hyperbola 9x^(2)-16y^(2)...

    Text Solution

    |

  10. Locus of P such that the chord of contact of P with respect to y^2=4ax...

    Text Solution

    |

  11. C is the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 The tangen...

    Text Solution

    |

  12. If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2), then

    Text Solution

    |

  13. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

    Text Solution

    |

  14. The product of lengths of perpendicular from any point on the hyperbol...

    Text Solution

    |

  15. The angle between the asymptotes of the hyperbola 3x^(2)-y^(2)=3, is

    Text Solution

    |

  16. Find the area of the triangle formed by any tangent to the hyperbola (...

    Text Solution

    |

  17. If e(1) and e(2) are respectively the eccentricities of the ellipse (x...

    Text Solution

    |

  18. The distance between the directrices of the hyperbola x=8s e ctheta,\ ...

    Text Solution

    |

  19. The straight line x+y=sqrt2P will touch the hyperbola 4x^2-9y^2=36 i...

    Text Solution

    |

  20. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |