Home
Class 12
MATHS
Find the vertex ,focus , equation of dir...

Find the vertex ,focus , equation of directrix , and length of latus rectam of the following :
`(i) y^(2) =16x ` (ii) `x^(2) =24 y`
(iii) ` y^(2) = -8x ` (iv)` x^(2) -2x + 8y +17=0`
(v)` y^(2) -4y - 8x +12 =0`

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 5.3|6 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 5.4|8 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 5.1|14 Videos
  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Problems for practice (Answer the following)|21 Videos

Similar Questions

Explore conceptually related problems

Find the vertex, focus, directrix, and length of the latus rectum of the parabola x^(2)-4x-5y-1=0

Find the coordinates of the focus , axis, the equation of the directrix and latus rectum of the parabola y^(2)=8x .

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

The length of the latus rectum of the parabola x^2 - 4x - 8y + 12 = 0 is

The length of latus rectum of the parabola 4y^2 + 2x - 20y + 17 = 0 is

Find axis, Vertex, focus and equation of directrix for x^(2)-6x-12y-3=0 .

Find centre and radius of the following circles. (i) x^(2) + ( y +2)^(2) =0 (ii) x^(2) + y^(2) + 6x -4y + 4 =0 (iii) x^(2) + y^(2) -x + 2y-3=0 (iv) 2x^(2) + 2y^(2) - 6x + 4y + 2=0

Find three different solutions of the each of the following equations. (i) 3x + 4y = 7 (ii) y = 6x (iii) 2x - y = 7 (iv) 13x - 12y = 25 (v) 10x + 11y = 21 (vi) x + y = 0

PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -SOLUTION TO EXERCISE 5.2
  1. Find the equation of the hyperbola in each of the cases given below ...

    Text Solution

    |

  2. Find the equation of the hyperbola in each of the cases given below ...

    Text Solution

    |

  3. Find the equation of the hyperbola in each of the cases given below ...

    Text Solution

    |

  4. Find the vertex ,focus , equation of directrix , and length of latus ...

    Text Solution

    |

  5. Find the vertex ,focus , equation of directrix , and length of latus ...

    Text Solution

    |

  6. Find the vertex ,focus , equation of directrix , and length of latus ...

    Text Solution

    |

  7. Find the vertex ,focus , equation of directrix , and length of latus ...

    Text Solution

    |

  8. Find the vertex ,focus , equation of directrix , and length of latus ...

    Text Solution

    |

  9. Identify the type of conic and find centre, foci, vertices and di...

    Text Solution

    |

  10. Identify the type of conic and find centre, foci, vertices and di...

    Text Solution

    |

  11. Identify the type of conic and find centre, foci, vertices and di...

    Text Solution

    |

  12. Identify the type of conic and find centre, foci, vertices and di...

    Text Solution

    |

  13. Prove that the length of the latusrection of the hyperbola x^(2)/a...

    Text Solution

    |

  14. show that the absolute value of the focal distances of any point P on...

    Text Solution

    |

  15. Identify the type of conic and find centre, foci, vertices, and direct...

    Text Solution

    |

  16. Identify the type of conic and find centre, foci, vertices, and direct...

    Text Solution

    |

  17. Identify the type of conic and find centre, foci, vertices, and direct...

    Text Solution

    |

  18. Identify the type of conic and find centre, foci, vertices, and direct...

    Text Solution

    |

  19. Identify the type of conic and find centre, foci, vertices, and direct...

    Text Solution

    |

  20. Identify the type of conic and find centre, foci, vertices, and direct...

    Text Solution

    |