1. Tardigrade
  2. Question
  3. Mathematics
  4. The normal at a point θ to the curve x=a(1+ cos θ), y=a sin θ always passes through the fixed point

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The normal at a point $\theta$ to the curve $x=a(1+\cos \theta), y=a \sin \theta$ always passes through the fixed point

TS EAMCET 2018

Solution:

Given curve is $x=a(1+\cos \theta), y=a \sin \theta$
$\Rightarrow (x-a)^{2}+y^{2}=a^{2}$, is a circle.
The normal to the circle always passes through the centre of the circle.
So, normal at a point to the given curve passes through centre $(a, 0)$