(c) Let a point P(2‌cos‌θ,6‌sin‌θ) on the ellipse ‌
x2
4
+‌
y2
36
=1, so equation of normal to the ellipse at point P is ‌‌‌‌
x−2‌cos‌θ
cos‌θ
2
=‌
y−6‌sin‌θ
sin‌θ
6
⇒‌‌2x‌sec‌θ−4=6ycosecθ−36 ⇒‌‌2x‌sec‌θ−6ycosecθ+32=0‌‌.....(i) ‌ Let normal (i) represent the line ‌ax+by+c=0 ‌ So ‌‌