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The locus of the mid points of the line ...

The locus of the mid points of the line joining the focus and any point on the parabola `y^(2)=4ax` is a parabola with equation of directrix as

A

`x=(a)/(2)`

B

x=0

C

2x+a=0

D

x+a=0

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The locus of the midpoints of the line joining the focus and any point on the parabola y^(2)=4ax is a parabola with the equation of directrix as

    A
    x=0
    B
    `x=(a)/(2)`
    C
    `x+a=0`
    D
    `2x+a=0`

  • The locus of the mid point of the line segment joining the focus to a moving point on the parbola y^(2)=4ax is another parabola with directix

    A
    `x=-a`
    B
    `x=-(a)/(2)`
    C
    x=0
    D
    `x=-(a)/(2)`

  • Focus of the parabola y^(2)=16 x is at

    A
    (-4,0)
    B
    (4,0)
    C
    (0,-4)
    D
    (0,4)

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