Question

Question #1eeff

Answer 1

The polar equation of parabola is `r= 20/(1+sin theta)`

Explanation:

The polar equation is `r= (ed)/(1+esin (theta)` where

`e=1` ,the eccentricity of parabola and `d` is directrix.

So the polar equation of parabola is `r= d/(1+sin theta)`

The focus is at origin and vertex is at distance of `10` unit

on positive `y` axis at an angle of `pi/2`. vertex is at equidistance

from focus and directrix. So directrix is `y=20:. d=20`

Hence the polar equation of parabola is `r= 20/(1+sin theta)`

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