Drawn thru the focus of parabola is a chord perpendicular to the axis of the parabola. Two tangent lines are drawn through the points of intersection of the chord and the parabola. Prove that the tangent intersect at right angles.
We know the chord perpendicular the axis of the parabola is latus rectum of parabola.
Let us consider standard equation of parabola $y^2 =4ax$, Equation of tangent at point P($x_1,y_1)$ to the parabola $y^2=4ax$ is $yy_1 =2a(x+x_1)$
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