Home
Class 12
MATHS
The distance between the directrices of ...

The distance between the directrices of the hyperbola `x^(2)-y^(2)=4` is

A

`sqrt(2)`

B

`2 sqrt(2)`

C

`sqrt(3)`

D

`3 sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

If the distance between the foci and the distance between the directrices of the hyperbola (x^(2))/(a^(2)) -(y^(2))/(b^(2)) =1 are in the ratio 3 : 2 then a : b is

Distance between the foci of the hyperbola x^(2)-y^(2)=7, is

The distance between the directrices of the hyperbola x=8sectheta,y=8tantheta , is

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

The eccentricity of the hyperbola 3 x^(2)-4 y^(2)=-12 is

The eccentricity of the hyperbola 4x^(2)-9y^(2)-8x=32 is

The angle between the asymptotes of the hyperbola, 3 x^(2)-2 y^(2)+4 x-6 y=0 is

HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The centre of the hyperbola 2 x^(2)+5 x y+3 y^(2)+3 x+4 y+9=0 is

    Text Solution

    |

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

    Text Solution

    |

  3. The distance between the directrices of the hyperbola x^(2)-y^(2)=4 is

    Text Solution

    |

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

    Text Solution

    |

  5. 2x +sqrt6y=2 touches the hyperbola x^2-2y^2=4 , then the point of cont...

    Text Solution

    |

  6. If a hyperbola passes through a focus of the ellipse (x^(2))/(25)+(y^(...

    Text Solution

    |

  7. If (5,12) and (-9,12) are the foci of the hyperbola passing through th...

    Text Solution

    |

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

    Text Solution

    |

  9. If the latus rectum subtends a right angle at the centre of a hyperbo...

    Text Solution

    |

  10. The latus rectum through one focus subtends a right angle at the fart...

    Text Solution

    |

  11. S(1) and S(2) are the foci of an ellipse and B is the end of the minor...

    Text Solution

    |

  12. If the pair of lines b^(2) x^(2)-a^(2) y^(2)=0 are inclined at an angl...

    Text Solution

    |

  13. The distance between foci of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is 9 an...

    Text Solution

    |

  14. The length of the transverse axid , along x - axis with centre at orig...

    Text Solution

    |

  15. The eccentricity of the hyperbola whose latus rectum is 8 and conjugat...

    Text Solution

    |

  16. The distance between the foci of a hyperbola is 16 and its eccentricit...

    Text Solution

    |

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

    Text Solution

    |

  18. The condition that y=m x+c is a tangent to the ellipse (x^(2))/(a^(2))...

    Text Solution

    |

  19. The equation of the normal to the hyperbola 3 x^(2)-y^(2)=3 at (2,-3) ...

    Text Solution

    |

  20. What does this equation x^2 - 4y^2 - 2x + 16y - 40 =0 represent?

    Text Solution

    |