Question #1eeff

1 Answer
Dec 16, 2017

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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