Home
Class 11
MATHS
If the centre, vertex and focus of a hyp...

If the centre, vertex and focus of a hyperbola be (0,0), (4,0) and (6,0) respectively, then the equation of the hyperbola is

A

`4x ^(2) -5y^(2) =8`

B

`4x ^(2) -5y^(2)=80`

C

`5x ^(2) -4y ^(2) =80`

D

`5x ^(2) -4y ^(2) =8`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|158 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

If the co-ordinates of the foci and vertices of the hyperbola are (pm13, 0) and (pm 5, 0) respectively, then find the equation of the hyperbola.

If the focus and vertex of a parabola are the poonts (0,2) and (0,4), respectively,then find the equation

The equation of parabola whose vertex and focus are (0,4) and (0,2) respectively, is

The vertices of a hyperbola are at (0, 0) and (10, 0) and one of its foci is at (18, 0). The equation of the hyperbola is

The centre,one vertex,one focus of a hyperbola are (1,-1),(5,-1),(6,-1) its directrices are

Focus of hyperbola is (+-3,0) and equation of tangent is 2x+y-4=0 , find the equation of hyperbola 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.

TARGET PUBLICATION-CIRCLE AND CONICS -CRITICAL THINKING
  1. The co-ordinates of the foci of the ellipse 3x ^(2) + 4y ^(2) -12 x -8...

    Text Solution

    |

  2. The eccentricity of the ellipse 4x^2=9y^2=8x+36 y+4=0 is 5/6 b. 3/5 c....

    Text Solution

    |

  3. An ellipse is described by using an endless string which is passed ove...

    Text Solution

    |

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

    Text Solution

    |

  5. If the centre, vertex and focus of a hyperbola be (0,0), (4,0) and (6,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. A hyperbola, centred at the prigin, has transverse axis 2a. If it pass...

    Text Solution

    |

  10. The equation of the hyperbola whose foci are (6.5), (-4,5) and eccentr...

    Text Solution

    |

  11. The equation of the hyperbola whose directrix is 2x+y=1, focus (1,1) a...

    Text Solution

    |

  12. If e and e' be the eccentricities of two conics S=0 and S'=0 and if e^...

    Text Solution

    |

  13. The vertices of the hyperbola 9x^(2)-16y^(2)-36x+96y-252=0 are

    Text Solution

    |

  14. The equation of the directrices of the conic x ^(2)+ 2x - y ^(2) + 5=0...

    Text Solution

    |

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

    Text Solution

    |

  16. The locus of the point of intersection of the lines axsectheta+bytanth...

    Text Solution

    |

  17. The equation x =1/2 (t+ (1)/(t)), y = 1/2 (t - 1/t), t ne 0 represent...

    Text Solution

    |

  18. The locus of the point of intersection of the linesbxy -a yt = ab and ...

    Text Solution

    |

  19. If e and e' are the eccentricities of the ellipse 5x^(2) + 9 y^(2) = ...

    Text Solution

    |

  20. The centres of the circles x ^(2) + y ^(2) =1, x ^(2) + y^(2)+ 6x - 2y...

    Text Solution

    |