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PQ is a double ordinate of the parabola ...

PQ is a double ordinate of the parabola `y^(2)=4ax`. If the normal at P intersect the line passing through Q and parallel to x-axis at G, then locus of G is a parabola with :

A

vertex at (4a, 0)

B

focus at (5a, 0)

C

directrix as the line `x-3a=0`

D

length of latus rectum equal to 4a

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
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Knowledge Check

  • In the parabola y^(2) = 4ax , the length of the chord passing through the vertex and inclined to the x-axis at (pi)/(4) is

    A
    `4 sqrt (2)` a units
    B
    ` 2 sqrt(2)` a units
    C
    ` sqrt(2)` a units
    D
    none of these

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