Q. The product of the lengths of subtangent and subnormal at any point of a curve is
A) Square of the abscissa
B) Square of the ordinate
C) Constant
D) None of these
Explanation
(b)
Length of subtangent $= y\frac{dx}{dy}$
and length of subnormal$= y\frac{dy}{dx}$
$\therefore$ Product $= y^{2}$
$\Rightarrow$ Required product is the square of the ordinate
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.