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

Find the equation of the hyperbola whose axes (transverse and conjugate axis) are parallel to x axis and y axis and centre is origin. Length of latus rectum lengthis 18 unit and distance between focies is12 unit.

Text Solution

Verified by Experts

The correct Answer is:
`3x^(2)-y^(2)=27`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise section(C) (Short Answer Type Question) (4 Marks)|17 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise Short Answer Type Questions|49 Videos
  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTIONS|20 Videos

Similar Questions

Explore conceptually related problems

Find the equation of hyperbola whose transverse axis is 10 conjugate axis is 6.

Find the equation of the parabola whose vertex is at (2,-3), axis is parallel to x -axis and length of latus rectum is 12

Find the equation of hyperbola whose conjugate axis = latus-rectum = 8 ,

Find the equation of the hyperbola whose conjugate axis is 5 and the distance between the foci is 13.

Find the equation of the hyperbola whose foci are (+-5,0) and the conjugate axis is of the length 8. Also ,Find its eccentricity .

Find the equation of the hyperbola having foci (0, +- 4) and transverse axis of length. 6.

Fid the differential equation of all the parabolas with latus rectum 44a' and whose axes are parallel to x -axis.

Find the equation of hyperbola where, conjugate axis is 3 along Y-axis and distance between foci is 5.

Find the equation of the hyperbola in which the length of conjugate axis is 5 and the distance between foci is 13.

CBSE COMPLEMENTARY MATERIAL-COORDINATE GEOMETRY-section(D) (Long Answer Type Questions ) (6 Marks)
  1. A circle has radius 3u n i t s and its centre lies on the line y=x-1. ...

    Text Solution

    |

  2. find the equation of the circle which passes through the points (20,3)...

    Text Solution

    |

  3. Find the equation of the circle having (1,-2) as its centre and passin...

    Text Solution

    |

  4. Prove that the equation y^2+2Ax+2By+c=0 is represent a parabola and wh...

    Text Solution

    |

  5. Show that the points A(5,5), B(6,4), C(-2,4) and D(7,1) all lies on t...

    Text Solution

    |

  6. Find the equation of the ellipse whose minor aixs is equal to the dist...

    Text Solution

    |

  7. Find the equation of the hyperbola whose axes (transverse and conjugat...

    Text Solution

    |

  8. prove that the line 3x+4y+7=0 touches the circle x^2+y^2-4x-6y-12=0 al...

    Text Solution

    |

  9. The equation of the ellipse whose focus is (1,0) and the directr...

    Text Solution

    |

  10. Prove that the area of the traingle inscribed in the parabola y^2=4ax ...

    Text Solution

    |

  11. The equation of the tangent to the circle x^(2)+y^(2)-2x-4y-4=0 which ...

    Text Solution

    |

  12. find the equations of tangents to the circle x^2+y^2-4x-6y-12=0 which ...

    Text Solution

    |

  13. Find the equation of the parabola whose focus is (1,-1) and whose vert...

    Text Solution

    |

  14. Find the equation of the hyperbola whose directrix is 2x+y=1, focus(1,...

    Text Solution

    |

  15. find the equation of cicle in the following case touches both the ...

    Text Solution

    |

  16. find the equation of circle in each of the following cases ...

    Text Solution

    |

  17. find the equation of cicle in each of the following cases ) (c)touche...

    Text Solution

    |

  18. find the equation of cicle in each of the following cases )(d) touche...

    Text Solution

    |

  19. Find the equation of a circle which touches x-axis at the origin and w...

    Text Solution

    |

  20. find the equation of cicle in each of the following cases ) (f)touche...

    Text Solution

    |