Let alpha_1 and alpha_2 be the ordinates of t | vedclass

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(D) Let the coordinates of points $A$ and $B$ be $(x_1, \alpha_1)$ and $(x_2, \alpha_2)$ respectively. Since they lie on $y^2=4ax$,we have $\alpha_1^2

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$\alpha_1-\alpha_3$

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(D) Let the coordinates of points $A$ and $B$ be $(x_1, \alpha_1)$ and $(x_2, \alpha_2)$ respectively. Since they lie on $y^2=4ax$,we have $\alpha_1^2=4ax_1$ and $\alpha_2^2=4ax_2$.The tangent at point $(x_i, \alpha_i)$ is given by $y\alpha_i = 2a(x+x_i)$.The intersection point $(x_3, \alpha_3)$ of the tangents at $A$ and $B$ is given by $\alpha_3 = \frac{\alpha_1+\alpha_2}{2}$.From this,we have $2\alpha_3 = \alpha_1+\alpha_2$.Rearranging the terms,we get $\alpha_3-\alpha_2 = \alpha_1-\alpha_3$.

Let $\alpha_1$ and $\alpha_2$ be the ordinates of two points $A$ and $B$ on a parabola $y^2=4ax$ and let $\alpha_3$ be the ordinate of the point of intersection of its tangents at $A$ and $B$. Then,$\alpha_3-\alpha_2=$

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