Home
Class 12
MATHS
If a hyperbola has one focus at the orig...

If a hyperbola has one focus at the origin and its eccentricity is `sqrt2.` One of the directrices is `x+y+1=0, ` Then equation its asymptotes are

A

`x=1 , y=1`

B

` x+1=0, y+1=0 `

C

` x=3, y=3`

D

` x+3 =0, y+3=0 `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise ELLIPSE|55 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

If a hyperbola has one focus at the origin and its eccentricity is sqrt2 .One of the directrices is x+y+1=0 . Then the centre of the hyperbola is

Equation of the hyperbola with one focus at the origin and directrix x+3=0 and eccentricity sqrt3 is

The equation of the hyperbola whose focus is origin, eccentricity sqrt2 and directrix x+y+1=0 is

Find the equation of Hyperbola with one focus at the origin and directrix x+3=0 and eccentricity sqrt3

The eccentricity of an ellipse, with its centre at the origin, is 1/2. If one of the directrices is x = 4, then the equation of the ellipse is

One focus of a hyperbola is located at the point (1, -3) and the corresponding directrix is the line y = 2. Find the equation of the hyperbola if its eccentricity is (3)/(2)

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

AAKASH SERIES-REVISION EXERCISE -HYPERBOLA
  1. The auxiliary circle of the hyperbola xy=9 is:

    Text Solution

    |

  2. If a hyperbola has one focus at the origin and its eccentricity is sqr...

    Text Solution

    |

  3. If a hyperbola has one focus at the origin and its eccentricity is sqr...

    Text Solution

    |

  4. The point of intersection of the asymptotes with the directrices lie o...

    Text Solution

    |

  5. If a hyperbola passing through the origin has 3x-4y -1=0 and 4x -3y -6...

    Text Solution

    |

  6. The eccentricity of the hyperbola 3x^(2) +7xy +2y^(2) -11x -7y +10 ...

    Text Solution

    |

  7. If H(x,y) =0 represents the equation of a hyperbola and A( x,y ) =0 ,...

    Text Solution

    |

  8. The equation of a hyperbola conjugate to the hyperbola 2x^(2) +3xy -2y...

    Text Solution

    |

  9. The equation to the conjugate hyperbola of xy+ 3x- 4y +13=0 is

    Text Solution

    |

  10. A = (1,2) , B= ( 6,-10 ) locus of P such that PA- PB =13 is

    Text Solution

    |

  11. s= 0 is a hyperbola , if s+ k =0 (k is a real number ) represents eq...

    Text Solution

    |

  12. If the distances between two parallel tangents drawn to the hyperbola ...

    Text Solution

    |

  13. A tangent drawn to hyperbola (x^(2))/( a^(2)) -(y^(2))/( b^(2)) =1 a...

    Text Solution

    |

  14. The sides AC and AB of a Delta ABC touch the conjugate hyperbola of ...

    Text Solution

    |

  15. If values of m for which the line y= mx +2 sqrt5 touches the hyperbola...

    Text Solution

    |

  16. If a ray of light incident along the line 3x+ (5-4 sqrt2 ) y= 15 get...

    Text Solution

    |

  17. Statement I: Asymptotes of hyperbola 3x+4y =2 and 4x-3y =5 are bisecto...

    Text Solution

    |

  18. If S1 and S2 are the foci of the hyperbola whose transverse axis le...

    Text Solution

    |

  19. Statement 1 : Ellipse (x^(2))/( 25) + ( y^(2))/( 16) =1 and 12x^(2)...

    Text Solution

    |

  20. Statement 1: If a circle S = 0 intersects a hyperbola xy =4 at four p...

    Text Solution

    |