Home
Class 12
MATHS
The vertices of a hyperbola are (2,0 ) ...

The vertices of a hyperbola are ` (2,0 ) ,( -2,0) and` the foci are (3,0) ,(-3,0) .The equation of the hyperbola is

A

`x^(2)/5-y^(2)/4=1`

B

`x^(2)/(4)-y^(2)/5=1`

C

`x^(2)/5-y^(2)/2=1`

D

`x^(2)/2-y^(2)/5=1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Practice Exercise|55 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Examples|10 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -I|47 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

Similar Questions

Explore conceptually related problems

Foci are (0, pm 3), e = 3/4 , equation of the ellipse is

The focus and the correspondin directrix of a hyperbola are (1-3) and y=2 and eccentricity is 3/2. Find the equation of the hyperbola.

The vertices of the hyperbola x^(2) -3y^(2) +2x +12y +1=0 are

The vertices of the hyperbola x^(2)-3y^(2)+2x+12y+1=0 are

A : The foci of the hyperbola ((x+2)^(2))/( 9) -(( y-3) ^(2))/( 27) = 1 are (4,3) ,(-8,3). R : The foci of the hyperbola ((x-alpha )^(2))/( a^(2)) -((y-beta )^(2))/( b^(2) ) =1 are ( alpha +- ae , beta )

Find the asymptotes of the hyperbola xy-3y-2x=0

The equation of the hyperbola whose foci are ( +- 5,0) and eccentricity 5/3 is

One of the foci of the hyperbola is origin and the corresponding directrix is 3x + 4y + 1=0 .The eccentricity of the hyperbola is sqrt 5 .The equation of the hyperbola is

The equation of the transverse and cojugate axes of a hyperbola are respectively x+ 2y -3=0 ,2x -y+4=0 and their respectively length are sqrt 2 and 2//sqrt 3 . The equation of the hyperbola is

AAKASH SERIES-HYPERBOLA-Exercise -II
  1. The equation of the heyperbola with its transverse axis parallel to x-...

    Text Solution

    |

  2. The vertices of a hyperbola are (2,0 ) ,( -2,0) and the foci are (3,0...

    Text Solution

    |

  3. The transverse axis of a hyperbola is of length 2a and a verlex divide...

    Text Solution

    |

  4. If e(1) is the eccentricity of the ellipse x^(2)/16+y^(2)/25=1 and e(2...

    Text Solution

    |

  5. The equation (x^(2))/(7-K) +(y^(2))/(5-K)=1 represents a hyperbola if

    Text Solution

    |

  6. If the foci of the ellips (x^(2))/( 25)+ ( y^(2))/( 16) =1 and the hy...

    Text Solution

    |

  7. The foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbla (x^2...

    Text Solution

    |

  8. Statement-I : If P,Q,R,S are the ends of latus recta of the hyperbola ...

    Text Solution

    |

  9. The eccentricity of the hyperbola 4x^(2)-9y^(2)=2ax +b^(2) is

    Text Solution

    |

  10. The eccentricity of x^(2)/9-y^(2)/(16)=1 is

    Text Solution

    |

  11. If (5,12), (24,7) are the foci of the hyperbola passing through origin...

    Text Solution

    |

  12. If the ecentricity of a hyperbola is sqrt3 then the ecentricity of its...

    Text Solution

    |

  13. If e and e^1 are the eccentricities of the ellipse 5x^(2)+9y^(2)=45 an...

    Text Solution

    |

  14. If the equation (10x-5)^(2)+(10y 4)^(2)=lambda^(2) (3x+4y-1)^(2) repre...

    Text Solution

    |

  15. Statement-I: The number of integral values of K for which the equation...

    Text Solution

    |

  16. The equation of the director circle of x^(2)//12-y^(2)//8=1 is

    Text Solution

    |

  17. If the tangents drawn from a point on the hyperola x^(2)-y^(2)=a^(2)-b...

    Text Solution

    |

  18. Equation of one of the tangents passing through (2, 8) to the hyperbol...

    Text Solution

    |

  19. The locus of the point of Interection of two tangents to the hyperbola...

    Text Solution

    |

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

    Text Solution

    |