Home
Class 11
MATHS
The coordinates of the two ends of latus...

The coordinates of the two ends of latus rectum of a parabola are (8,1) and (-4,1) , find the equation of the parabola.

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

The coordinates of the two ends of latus rectum of a parabola are (3,4) and (3,0) ,find the equation of the parabola.

The vertex of a parabola is (2, 2) and the coordinats of its two extremities of latus rectum are (-2,0) and (6, 0). Then find the equation of the parabola.

The extremities of latus rectum of a parabola are (1, 1) and (1,-1) . Then the equation of the parabola can be (a) y^2=2x-1 (b) y^2=1-2x (c) y^2=2x-3 (d) y^2=2x-4

The coordinates of the vertex and focus of a parabola are (1,2) and (-1,2) respectively : find its equation.

Find the coordinates of vartex and the length of latus rectum of the parabola whose focus is (0,0) and the directrix is the line 2 x + y =1

The coordinates of one of the end-points of the latus rectum of the parabola (y - 1)^(2) = 2(x + 2 ) are _

The length of latus rectum of the parabola 3x^(2) =- 8y is _

Find the latus rectum of the parabola (y-3)^2=6(x-2)

The length of latus rectum of the parabola (y-1)^(2) =- 6( x+2) is_

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

PATHFINDER-PARABOLA, ELLIPSE AND HYPERBOLA-QUESTION BANK
  1. If theta is a variable paramete, then the equations x= 1/4(3- cosec ^(...

    Text Solution

    |

  2. The locus of middle points of a family of focal chord of the parabola ...

    Text Solution

    |

  3. The coordinates of the two ends of latus rectum of a parabola are (8,1...

    Text Solution

    |

  4. A parabola passes through the points (0.0) ,(2,2) and (-2,-6) and it...

    Text Solution

    |

  5. If (at^(2) , 2at) be the coordinate of an extremity of a focal chord o...

    Text Solution

    |

  6. The directrix of a parabola is x + y + 4 = 0 and vertix is the point (...

    Text Solution

    |

  7. Show that the equation of the chord of the parabola y^2=4ax through th...

    Text Solution

    |

  8. The pt. (2+4costheta, 1+2sintheta) represents the parametric coordinat...

    Text Solution

    |

  9. If eccentricities of the ellipse x^2/36+y^2/25=1 and x^2/a^2+y^2/b^2=1...

    Text Solution

    |

  10. The length of the latus rectum of the ellipse 2x^2+4y^2=16 is

    Text Solution

    |

  11. The coordinates of the foci of the ellipse 20x^2+4y^2=5 are

    Text Solution

    |

  12. The length of the semi-major axis of an ellipse is 13 and its eccentri...

    Text Solution

    |

  13. The eccentricy of the ellipse x^2+4y^2+2x-24y+33=0 is

    Text Solution

    |

  14. find the length of the latus rectum of the ellipse (x^(2))/(9) +(y^(...

    Text Solution

    |

  15. The coordinates of the point on the ellipse 9x^(2) + 16y^(2) = 144 ...

    Text Solution

    |

  16. If the distance between the foci of an ellipse is equal to the length ...

    Text Solution

    |

  17. Find the eccentricity, the length of latus rectum and the centre of e...

    Text Solution

    |

  18. Find the eccentricity of the ellipse if the length of minor axis ...

    Text Solution

    |

  19. The eccentricity of an ellipse whose distance between the foci is 4 an...

    Text Solution

    |

  20. Taking major and minor axes as x and y - axes respectively , find the ...

    Text Solution

    |