Textbook ExpertVerified Tutor
3 Jan 2022
Given information
Let p(x1,y1)) be a point on the parabola with focus as shown in the figure.
We want to show that the angle between the tangent at a point P and the line joining the focus and point P is equal the angle between the tangent at point P and the horizontal line passing through point P.
Step-by-step explanation
Step 1.
Construction : Let the horizontal line passing through point P meet the directrix ar point A.
Join AP and AF. Let the line segment AF meet the tangent at point P at B.