Home
Class 11
MATHS
If, in a hyperbola, the distance between...

If, in a hyperbola, the distance between the foci is 10 and the transverse axis has length 8, then the length of its latus-rectum is:

A

9

B

`9/2`

C

`32/3`

D

`64/3`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

If the distance between the foci of an ellipse is equal to length of minor axis, then its eccentricity is

In an ellipse, the distances between its foci is 6 and minor axis is 8 . Then its eccentricity is

Find the eccentricity of the ellipse if : the distance between the foci is equal to the length of latus-rectum.

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. x^2/16-y^2/9=1

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 49y^2 - 16x^2 = 784

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. y^2/9-x^2/27=1

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 9y^2 - 4x^2 = 36

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 16x^2 -9y^2 = 576

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. Find the equation of the circle which cuts orthogonally the circle x^(...

    Text Solution

    |

  2. If the slope of one of the lines represented by ax^2+2hxy+ by^2 =0 be ...

    Text Solution

    |

  3. If, in a hyperbola, the distance between the foci is 10 and the transv...

    Text Solution

    |

  4. If (3, 3) is a vertex of a triangle and (- 3, 6) and (9,6) are the mid...

    Text Solution

    |

  5. If px^2-10xy + 12y^2+ 5x - 16y - 3 = 0 represents a pair of straight l...

    Text Solution

    |

  6. The equation of the circle passing through the point (1, 1) and throug...

    Text Solution

    |

  7. If the lines : x+2ay+a=0, x+3by+b=0 and x+4cy+c=0 are concurrent, wher...

    Text Solution

    |

  8. If the equation lambda x^2+(2 lambda-3)y^2-4x-1=0 represents a circle,...

    Text Solution

    |

  9. If x= 9 is the chord of contact of the hyperbola x^2-y^2=9, then the e...

    Text Solution

    |

  10. On the ellipse 4x^2+9y^2=1, the points at which tangents are parallel ...

    Text Solution

    |

  11. The equation of the common tangent touching the circle (x-3)^2 +y^2=9 ...

    Text Solution

    |

  12. The number os integral values of m for which the x - coordinates of th...

    Text Solution

    |

  13. The equation of the directrix of the parabola : y^2+ 4y + 4x+2=0 is:

    Text Solution

    |

  14. Let AB be a chord of the circle x^2+ y^2 = r^2 subtending a right angl...

    Text Solution

    |

  15. Let PQ and RS be tangents at the extremities of the diameter PR or a c...

    Text Solution

    |

  16. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

    Text Solution

    |

  17. If agt2abgt0, then the positive value of m for which y=mx-bsqrt((1+m^(...

    Text Solution

    |

  18. The locus of the mid-point of the line segment joining the focus to a ...

    Text Solution

    |

  19. The area bounded by the curves : y=|x-1| and y=1 is :

    Text Solution

    |

  20. The equation of the common tangent to the curves , y^2=8x and xy=-1 is...

    Text Solution

    |