Question
Show that the tangent lines to the parabola $x^{2}=4 p y$ drawnfrom any point on the directrix are perpendicular.
Step 1
Step 1: The equation of the tangent lines to the parabola $x^{2}=4 p y$ at point $(x_{0}, y_{0})$ is given by $xx_{0}=2p(y+y_{0})$. Show more…
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Show that the tangent lines to the parabola $ x^2 = 4py $ drawn from any point on the directrix are perpendicular.
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Prove: The line tangent to the parabola $x^{2}=4 p y$ at the point $\left(x_{0}, y_{0}\right)$ is $x_{0} x=2 p\left(y+y_{0}\right)$
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