Home
Class 11
MATHS
The extremities of latus rectum of a par...

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`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

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

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

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

The parametric equation of a parabola is x=t^2+1,y=2t+1. Then find the equation of the directrix.

The vertex of the parabola x^(2)-6x+4y+1=0 is

The coordinates of the vertex of the parabola (x + 1)^(2) =- 9(y +2) are

The equation of the directrix of the parabola y^2+4y+4x+2=0 is (a) x=-1 (b) x=1 x=-3/2 (d) x=3/2

If the tangents and normals at the extremities of a focal chord of a parabola intersect at (x_1,y_1) and (x_2,y_2), respectively, then (a) x_1=y_2 (b) x_1=y_1 (c) y_1=y_2 (d) x_2=y_1

The radius of the circle touching the parabola y^2=x at (1, 1) and having the directrix of y^2=x as its normal is

Find the length of the latus rectum of the parabola y =- 2x^(2) + 12 x - 17 .

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. A normal drawn to the parabola y^2=4a x meets the curve again at Q suc...

    Text Solution

    |

  2. The parabola y^2=4x and the circle having its center at (6, 5) interse...

    Text Solution

    |

  3. The extremities of latus rectum of a parabola are (1, 1) and (1,-1) . ...

    Text Solution

    |

  4. If y=2 is the directrix and (0,1) is the vertex of the parabola x^2+la...

    Text Solution

    |

  5. Through the vertex 'O' of parabola y^2=4x, chords OP and OQ are drawn...

    Text Solution

    |

  6. If two chords drawn from the point A(4,4) to the parabola x^2=4y are b...

    Text Solution

    |

  7. Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...

    Text Solution

    |

  8. The mirror image of the parabola y^(2)=4x in the tangent to the parabo...

    Text Solution

    |

  9. Two straight lines are perpendicular to each other. One of them touche...

    Text Solution

    |

  10. If the tangents and normal at the extremities of focal chord of a para...

    Text Solution

    |

  11. Radius of the circle that passes through the origin and touches the ...

    Text Solution

    |

  12. If A1B1 and A2B2 are two focal chords of the parabola y^2=4a x , then ...

    Text Solution

    |

  13. y=x+2 is any tangent to the parabola y^(2)=8x. The point P on this tan...

    Text Solution

    |

  14. Two parabola have the same focus. If their directrices are the x-and t...

    Text Solution

    |

  15. The triangle P Q R of area A is inscribed in the parabola y^2=4a x suc...

    Text Solution

    |

  16. The length of the chord of the parabola y^(2)=x which is bisected at t...

    Text Solution

    |

  17. The circle x^2+y^2=5 meets the parabola y^2=4x at P and Q . Then the l...

    Text Solution

    |

  18. A line is drawn form A(-2,0) to intersect the curve y^2=4x at Pa n dQ ...

    Text Solution

    |

  19. Let y=f(x) be a parabola, having its axis parallel to the y-axis, whic...

    Text Solution

    |

  20. Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...

    Text Solution

    |