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Tangent is drawn at any point (x1,y1) on...

Tangent is drawn at any point `(x_1,y_1)` on the parabola `y^2=4ax` . Now tangents are drawn from any point on this tangent to the circle `x^2+y^2=a^2` such that all the chords of contact pass throught a fixed point `(x_2,y_2)` Prove that `4(x_1/x_2)+(y_1/y_2)^2=0`.

A

`x_(2)/x_(1) = 4`

B

`y_(2)/y_(1) = 16`

C

`y_(2)/y_(1) = - 16`

D

`(x_(2)/x_(1))^(2) + y_(2)/y_(1) = 0 `

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The correct Answer is:
A, C, D
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