Q. The order of the differential equation of all tangent lines to the parabola $y = x^{2}$ is
A) $1$
B) $2$
C) $3$
D) $4$
Explanation
(a)
Given curve is $y = x^{2}$
For this curve there is only one tangent line ie,
$x$-axis $(y = 0)$
$\therefore$ $\frac{dy}{dx} = 0$
Hence, order is 1.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.