Q 1289656517.     Find the point of intersection of tangents at any two points on the parabola `y^2=4ax`?

A

`x=at_1t_2`

B

`x=2at_1t_2`

C

`x=a(t_1+t_2)`

D

`x^2=a(t_1t_2)`

HINT

Equation of tangent at `(at_1^2,2at_1)` is `t_1y=x+at_1^2 .`

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