Home
Class 12
MATHS
The equation of the hyperbol whose foci ...

The equation of the hyperbol whose foci are (-2,0) and (2,0) and eccentricity is 2 is given by :

A

`((x-1)^(2))/(25)+((y-4)^(2))/(25)=1`

B

`((x+1)^(2))/(25)+((y+4)^(2))/(75)=1`

C

`((x-1)^(2))/(75)-((y-4)^(2))/(25)=1`

D

`((x-1)^(2))/(25)-((y-4)^(2))/(75)=1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

Similar Questions

Explore conceptually related problems

Find the equation to the hyperbola whose foci, are (6,4) and (-4,4) and eccentricity is 2.

Find the equation of the hyperbola whose foci are (10, 5) and (-2, 5) and eccentricity 3.

The equation to the ellipse whose foci are (pm2,0) and eccentricity (1)/(2) is :

The equation of the ellipse whose one focus is at (4,0) and whose eccentricity is (4)/(5) is

Find the equation of the hyperbola whose foci are (0,pm12) and the length of the lectus rectum is 36 units.

The equation of the hyperbola with vertices at (pm5,0) and foci at (pm7,0) is :

The equation of the hyperbola with eccentricity 3/2 and foci at (pm2,0) is

Find the equation of the ellipse whose foci are (2,3),(-2,3) and whose semi-minor axes is sqrt5 .

The equation of the ellipse with foci at (pm3,0) and vertices (pm5,0) is :

The equation of the ellipse whose vertices are (-4,1) and (6,1) and a focus lies on x-2 y-2 =0 is

HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The angle between the two asymptotes of the hyperbola (x^(2))/(16)-(y^...

    Text Solution

    |

  2. The product of the perpendicular from any poitn P(x,y) on the hyperbol...

    Text Solution

    |

  3. The equation of the hyperbol whose foci are (-2,0) and (2,0) and eccen...

    Text Solution

    |

  4. The asymptotes of a hyperbola are the coordinate axes. If the hyperbol...

    Text Solution

    |

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

    Text Solution

    |

  6. The eccentricity of the hyperbola with asymptotes 3 x+4 y=2 and 4 x-3 ...

    Text Solution

    |

  7. The equation of a tangent parallel to y=x drawn to (x^(2))/(3)-(y^(2))...

    Text Solution

    |

  8. The eccentricity of the hyperbola 9 x^(2)-16 y^(2)-18 x-64 y-199=0 i...

    Text Solution

    |

  9. Let P(a sec theta,b tan theta) and Q(a sec varphi, b tan varphi) where...

    Text Solution

    |

  10. The equation (x^(2))/(1-r)+(y^(2))/(r-3)+1=0 represents an ellipse if ...

    Text Solution

    |

  11. If the line y=3 x+lambda touches the hyperbola 9 x^(2)-5 y^(2)=45, the...

    Text Solution

    |

  12. The equation to the normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1...

    Text Solution

    |

  13. If the circle x^(2)+y^(2)=a^(2) intersects the hyperbola xy=c^(2) in f...

    Text Solution

    |

  14. The distance of the focua of x^(2)-y^(2)=4 from the directrix which is...

    Text Solution

    |

  15. The equation of a hyperbola whose asymtotes are 3xpm5y=0 and vertices ...

    Text Solution

    |

  16. If e1 and e2 are the eccentricities of a hyperbola and its conjugate t...

    Text Solution

    |

  17. The distance between the directrices of the hyperbola x=8sectheta,y=8t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. A hyperbola having the transversal axis of length 2sintheta is confoca...

    Text Solution

    |