Home
Class 11
MATHS
Find the equation of the hyperbola whose...

Find the equation of the hyperbola whose
eccentricity is 3, focus is (-1,1) and equation of directrix is x - y + 3 = 0.

Promotional Banner

Topper's Solved these Questions

  • MULTIPLE AND SUB-MULTIPLE ANGLES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • PERMUTATION AND COMBINATION

    PATHFINDER|Exercise QUESTION BANK|223 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the hyperbola whose eccentricity is sqrt(2) , focus is (3,1) and equation of directrix is 2x + y - 1 = 0.

Find the equation of the hyperbola whose eccentricity is sqrt(3) , focus is at (2,3) and equation of directrix is x + 2y = 1.

Find the equation of the hyperbola whose eccentricity is (5)/(4) , focus is (0,4) and the directrix is the line 4y - 9 = 0.

Find the equation of the hyperbola whose eccentricity is (5)/(4) , focus is (-5,0) and directrix is the line 5x + 16 = 0.

Find the equation of the ellipse whose eccentricity is (1)/(2) , focus is (-1,1) , directrix is x - y + 3 = 0 .

Find the equation of the hyperbola whose eccentricity is sqrt(2) , focus is (a,0) and directrix is the line x = (a)/(2) .

Find the equation of the parabola whose vertex is (-1, 3) and focus is (3, -1) .

Find the equation of the parabola whose co-ordinate of vertex is (-2, 3) and the equation of directrix is 2x + 3y + 8 = 0.

Find the equation of the parabola whose vertexi is the point (1,-2) and the eqation of directrix is y + 5 = 0 .

find the equation of the ellipse whose eccentricities is 1/2, focus is (-1, 1), directrix is y = x + 3.

PATHFINDER-PARABOLA, ELLIPSE AND HYPERBOLA-QUESTION BANK
  1. The centre of the hyperbola 9x^2-16y^2-18x+64y-199=0 is

    Text Solution

    |

  2. If foci of the ellipse (x^(2))/(16) + (y^(2))/(b^(2)) = 1 coincide wit...

    Text Solution

    |

  3. The eccentricity of the hyperbola x^2-y^2=4 is

    Text Solution

    |

  4. Find the equation to the locus represented by the parametric equation...

    Text Solution

    |

  5. The equation of the auxiliary circle of the hyperbola x^2/a^2-y^2/b^2=...

    Text Solution

    |

  6. The eccentricity of the curve 9x^2-25y^2=225 is

    Text Solution

    |

  7. The foci of the hyperbola 4x^2-9y^2=36 is

    Text Solution

    |

  8. If the length of conjugate axis and the length of latus rectum of a hy...

    Text Solution

    |

  9. The equations of directrices of hyperbola 4x^2-9y^2-16x-54y-101=0 are

    Text Solution

    |

  10. Find the equation of the hyperbola whose eccentricity is 3, focus is...

    Text Solution

    |

  11. Show that the difference of the distances from each focus of any point...

    Text Solution

    |

  12. Show that the eccentricities of the hyperbolas x^2/16-y^2/9=1 and x^2/...

    Text Solution

    |

  13. Find the equation of the hyperbola, whose axes are axes of coordinates...

    Text Solution

    |

  14. Find the equation of the hyperbola whose vertices are (+-4,0) and foci...

    Text Solution

    |

  15. Show that 3x^2-3y^2-18x+12y+2=0 represents a rectangular hyperbola. Fi...

    Text Solution

    |

  16. In a rectangular hyperbola x^2-y^2=a^2, prove that SP.S'P=CP^2, wher...

    Text Solution

    |

  17. If e1 and e2 be the eccentricities of a hyperbola and its conjugate, s...

    Text Solution

    |

  18. Find the equation of the hyperbola, whose axes are axes of coordinates...

    Text Solution

    |

  19. The length of the intercepts on the x and y-axes of a circle are 2a an...

    Text Solution

    |

  20. If the chord joining the points (asectheta, btantheta)and (asecphi, bt...

    Text Solution

    |