Home
Class 11
MATHS
The eccentricity of the hyperbola whose ...

The eccentricity of the hyperbola whose latuscrectum is `8` and conjugate axis is equal to half the distance between the foci, is

A

`(4)/(3)`

B

`(4)/(sqrt(3))`

C

`(2)/(sqrt(3))`

D

none of these.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (FILL IN THE BLANKS)|10 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (TRUE/FALSE QUESTIONS)|5 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE 11 (H) (LONG ANSWER TYPE QUESTIONS I )|6 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the hyperbola with latursrectum 12 and semi-conjugate axis is 2sqrt(3) , is

Find the eccentricity of the hyperbola whose latusrectum is half of its transverse axis.

The length of the transverse axis and the conjugate axis of a hyperbola is 2a units and 2b units repectively. If the length of the latus rectum is 4 units of the conjugate axis is equal to one-third of the distance between the foci, then the eccentricity of the hyperbola is

The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci,is : (A) (4)/(3) (B) (4)/(sqrt(3)) (C) (2)/(sqrt(3)) (D) sqrt(3)

If the vertex of a hyperbola bisects the distance be­tween its centre and the corresponding focus, then the ratio of the square of its conjugate axis to the square of half the distance between the foci is

Find the equation of the hyperbola in which the length of conjugate axis is 5 and the distance between foci is 13.

MODERN PUBLICATION-CONIC SECTIONS -OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS )
  1. If e is the eccentricity of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(...

    Text Solution

    |

  2. The equation of the ellipse whose centre is at origin and which passes...

    Text Solution

    |

  3. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

    Text Solution

    |

  4. If the distance between the foci of a hyperbola is 16 and its eccen...

    Text Solution

    |

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

    Text Solution

    |

  6. Equation of the hyperbola with eccentricity 3/2 and foci at (±2,0) is

    Text Solution

    |

  7. The equation of the chord joining the points (x(1) , y(1)) and (x(2), ...

    Text Solution

    |

  8. The foci of the hyperbola (x^(2))/(16) -(y^(2))/(9) = 1 is :

    Text Solution

    |

  9. Centre of the circle 2x^(2) + 2y^(2) -x = 0 is :

    Text Solution

    |

  10. For the circle x^(2) + y^(2) = 25, the point (-2.5, 3.5) lies :

    Text Solution

    |

  11. (i) Centre of the circle x^(2) + y^(2) - 8x + 10 y + 12 = 0 is Cen...

    Text Solution

    |

  12. Length of the semi-latus -rectum of parabola : x^(2) = -16y is :

    Text Solution

    |

  13. The focus of the parabola y^(2) = - 4ax is :

    Text Solution

    |

  14. The length of latus-rectum of parabola x^(2) = - 16 y is :

    Text Solution

    |

  15. The eccentricity of the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) = 1 ...

    Text Solution

    |

  16. If the slope of the line containg the point (2,5) and (x, - 4) is 3, t...

    Text Solution

    |

  17. If the slope of a line is not defined then the line :

    Text Solution

    |

  18. Eccentricity of the hyperbola x^(2) - y^(2) = a^(2) is :

    Text Solution

    |

  19. The foci of the ellipse (x^(2))/(4) +(y^(2))/(25) = 1 are :

    Text Solution

    |

  20. The co-ordinates of the foci of the ellipse 9x^(2) + 4y^(2) = 36 are ...

    Text Solution

    |