Home
Class 12
MATHS
Find the equation of the hyperbola if ce...

Find the equation of the hyperbola if centre (1,-2), length of the transverse axis is 8, `e=(5)/(4)` and the transverse axis is parallel to X-axis.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    FULL MARKS|Exercise EXERCISE 5.6|25 Videos
  • THEORY OF EQUATIONS

    FULL MARKS|Exercise Additional Questions Solved|30 Videos

Similar Questions

Explore conceptually related problems

Find the equation of hyperbola : Whose center is (1,0), focus is (6,0) and the transverse axis is 6

Find the eccetricity of hyperbola through (4,2) whose centre is (0.0) length of transverse axis is 4 and transverse axis along x-axis. (a) 2 (b) sqrt3 (c) (sqrt3)/(2) (d) (2)/(sqrt3)

Find the equation of the hyperbola in the cases given below : passing through (5, -2) and length of the transverse axis along x axis and of length 8 units.

Write equation of line PQ parallel to X-axis.

If S_1a n dS_2 are the foci of the hyperbola whose length of the transverse axis is 4 and that of the conjugate axis is 6, and S_3a n dS_4 are the foci of the conjugate hyperbola, then the area of quadrilateral S_1S_3S_2S_4 is 24 (b) 26 (c) 22 (d) none of these

In each of the find the equations of the hyperbola satisfying the given conditions. Foci (+-5,0) , the transverse axis is of length 8 .

Find the equation of hyperbola in each of the following cases: (i) Centre is (1, 0), one focus is (6, 0) and transverse axis 6 (ii) Centre is (3, 2), one focus is (5, 2) and one vertex is (4, 2) (iii) Centre is (-3,2), one vertex is (-3,4) and eccentricity is 5/2 (iv) Foci are (4,2), (8,2) and eccentricity is 2

Find the equation of the parabola with vertex (-1, -2), axis parallel to y-axis and passing through (3, 6).

FULL MARKS-TWO DIMENSIONAL ANALYTICAL GEOMETRY-II-Additional Question Solved
  1. Find the equation (s) of the circle passing through the points (1,1) a...

    Text Solution

    |

  2. Find the equation of the ellipse if centres is (3,-4) one of the foci ...

    Text Solution

    |

  3. Find the equation of the hyperbola if centre (1,-2), length of the tra...

    Text Solution

    |

  4. Find axis, vertex focus and equation of directrix for y^(2)+8x-6y+1=0

    Text Solution

    |

  5. Find axis, Vertex, focus and equation of directrix for x^(2)-6x-12y-3=...

    Text Solution

    |

  6. Find the centre, eccentricity, foci, vertices of ellipse x^(2)+4y^(2)-...

    Text Solution

    |

  7. Find the eccentricity, centre, foci, vertices of 9x^(2)+4y^(2)=36

    Text Solution

    |

  8. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  9. Find the eccentricity, centre, foci and vertices of the following hype...

    Text Solution

    |

  10. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  11. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  12. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  13. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  14. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  15. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  16. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  17. Find the equations of the tangent and normal to the parabolas: x^(2)+2...

    Text Solution

    |

  18. Find the equations of the tangent and normal to the parabola y^(2)=8x ...

    Text Solution

    |

  19. Find the equations of the tangent: to the parabola y^(2)=16x, parallel...

    Text Solution

    |

  20. Find the equations of the tangents: to the parabola 4x^(2)-y^(2)=64 wh...

    Text Solution

    |