Home
Class 11
MATHS
PQ is a normal chord of the parabola ...

PQ is a normal chord of the parabola `y^2 =4ax` at P, A being the vertex of the parabola. Through P, a line is drawn parallel to AQ meeting the x-axis at R. Then the line length of AR is

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

A normal chord of the parabola y^2=4ax subtends a right angle at the vertex, find the slope of chord.

Length of the shortest normal chord of the parabola y^2=4ax is

If the normal chord of the parabola y^(2)=4x makes an angle 45^(@) with the axis of the parabola, then its length, is

If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , then the length of S Q is

Length of the focal chord of the parabola y^2=4ax at a distance p from the vertex is:

The locus of the midpoints of all chords of the parabola y^(2) = 4ax through its vertex is another parabola with directrix is

PQ is any focal chord of the parabola y^(2)=8 x. Then the length of PQ can never be less than _________ .

AB is a chord of the parabola y^2 = 4ax with its vertex at A. BC is drawn perpendicular to AB meeting the axis at C.The projecton of BC on the axis of the parabola is

If PQ and Rs are normal chords of the parabola y^(2) = 8x and the points P,Q,R,S are concyclic, then

The normal to the parabola y^(2)=8x at the point (2, 4) meets the parabola again at the point-

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. A parabola of latus-rectum 1 touches a fixed equal parabola. The axe...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Two lines are drawn at right angles, one being a tangent to y^(2)=4ax ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. A tangent is drawn to the parabola y^(2)=4ax at P such that it cuts th...

    Text Solution

    |

  15. Tangents are drawn to the parabola at three distinct points. Prove t...

    Text Solution

    |

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

    Text Solution

    |

  17. Statement 1: The point of intersection of the tangents at three dist...

    Text Solution

    |

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

    Text Solution

    |

  19. Statement 1: Normal chord drawn at the point (8, 8) of the parabola ...

    Text Solution

    |

  20. Statement 1: The value of alpha for which the point (alpha,alpha^2) li...

    Text Solution

    |