Q. If the normal at any point $P$ on the ellipse cuts the major and minor axes in $G$ and $g$ respectively and $C$ be the centre of the ellipse, then
A) $a^{2}{(CG)}^{2} + b^{2}{(Cg)}^{2} = {(a^{2} - b^{2})}^{2}$
B) $a^{2}{(CG)}^{2} - b^{2}{(Cg)}^{2} = {(a^{2} - b^{2})}^{2}$
C) $a^{2}{(CG)}^{2} - b^{2}{(Cg)}^{2} = {(a^{2} + b^{2})}^{2}$
D) None of the above
Explanation
The correct answer is Option A: $a^{2}{(CG)}^{2} + b^{2}{(Cg)}^{2} = {(a^{2} - b^{2})}^{2}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.