Home
Class 11
MATHS
If the normals to the parabola y^2=4a x ...

If the normals to the parabola `y^2=4a x` at the ends of the latus rectum meet the parabola at `Q and Q^(prime),` then `Q Q^(prime)` is `(a)10 a` (b) `4a` (c) `20 a` (d) `12 a`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If the normals to the parabola y^2=4a x at the ends of the latus rectum meet the parabola at Qa n dQ^(prime), then QQ ' is 10 a (b) 4a (c) 20 c (d) 12 a

Find the equations of normal to the parabola y^2=4a x at the ends of the latus rectum.

Find the equations of normal to the parabola y^2=4a x at the ends of the latus rectum.

Find the length of latus rectum of the parabola y^(2) = - 10 x

The equation of the tangent to the parabola y^(2)=4x at the end of the latus rectum in the fourth quadrant is

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

The length of the latus rectum of the parabola 4y^(2)+12x-20y+67=0 is

The area of the triangle formed by the tangent and the normal to the parabola y^2=4a x , both drawn at the same end of the latus rectum, and the axis of the parabola is 2sqrt(2)a^2 (b) 2a^2 4a^2 (d) none of these

The area of the triangle formed by the tangent and the normal to the parabola y^2=4a x , both drawn at the same end of the latus rectum, and the axis of the parabola is (a) 2sqrt(2)a^2 (b) 2a^2 4a^2 (d) none of these

If the normals at P, Q, R of the parabola y^2=4ax meet in O and S be its focus, then prove that .SP . SQ . SR = a . (SO)^2 .

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the normals at points t1 and t2 meet on the parabola, then (a) t1...

    Text Solution

    |

  2. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  3. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

    Text Solution

    |

  4. Tangent and normal drawn to a parabola at A(a t^2,2a t),t!=0 meet the ...

    Text Solution

    |

  5. PQ is a normal chord of the parabola y^2 =4ax at P, A being t...

    Text Solution

    |

  6. If two normals to a parabola y^2 = 4ax intersect at right angles then ...

    Text Solution

    |

  7. If the normals to the parabola y^2=4a x at P meets the curve again at ...

    Text Solution

    |

  8. If a leaf of a book is folded so that one corner moves along an opp...

    Text Solution

    |

  9. A parabola of latus rectum l touches a fixed equal parabola. The axes ...

    Text Solution

    |

  10. A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then ...

    Text Solution

    |

  11. Let N be the foot of perpendicular to the x-axis from point P on the p...

    Text Solution

    |

  12. Two lines are drawn at right angles, one being a tangent to y^2=4a x a...

    Text Solution

    |

  13. The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...

    Text Solution

    |

  14. Find the range of parameter a for which a unique circle will pass thro...

    Text Solution

    |

  15. Find the radius of the largest circle, which passes through the focus ...

    Text Solution

    |

  16. A tangent is drawn to the parabola y^2=4a x at P such that it cuts the...

    Text Solution

    |

  17. Tangents are drawn to the parabola at three distinct points. Prove tha...

    Text Solution

    |

  18. Statement 1: The circumcircle of a triangle formed by the lines x=0...

    Text Solution

    |

  19. Statement 1: The point of intersection of the tangents at three dis...

    Text Solution

    |

  20. Statement 1: If the straight line x=8 meets the parabola y^2=8x at Pa ...

    Text Solution

    |