TS EAMCET 4 May 2018 Shift 1 Solved Paper

Consider the curve.
x=a(1+cos‌θ)
And
y=a‌sin‌θ
Square and add the above equation.
(x−a)2+y2=a2
The equation is of a circle.
The normal to the circle passes through the center of the circle.
Thus, the normal at a point to the given curves passes through the center (a,0).