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The locus of middle points of a family o...

The locus of middle points of a family of focal chord of the parabola `y^(2) =4 ax` is-

A

`x ^(2) -2ay+a^(2)=0`

B

`y ^(2) -2ax +2a ^(2) =0`

C

`y ^(2) -2ax +a ^(2) =0`

D

`x ^(2) -2ay +2a ^(2) =0`

Text Solution

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The correct Answer is:
B
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The locus of the middle points of the focal chords of the parabola, y^2=4x is:

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If (at^(2) , 2at ) be the coordinates of an extremity of a focal chord of the parabola y^(2) = 4ax , then show that the length of the chord is a(t+(1)/(t))^(2) .

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

If (at^(2) , 2at) be the coordinate of an extremity of a focal chord of the parabola y^(2) =4ax, then the length of the chord is-

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