Q. The differential equation of all non-vertical lines in a plane is
A) $\frac{d^{2}y}{dx^{2}} = 0$
B) $\frac{d^{2}x}{dy^{2}} = 0$
C) $\frac{dy}{dx} = 0$
D) $\frac{dx}{dy} = 0$
Explanation
(a)
The general equation of all non-vertical lines in a plane is $ax + by = 1$, where $b \neq 0$
$\therefore$ $a + b\ \frac{dy}{dx} = 0$
$\Rightarrow$ $b\ \frac{d^{2}y}{dx^{2}} = 0$
$\Rightarrow$ $\frac{d^{2}y}{dx^{2}} = 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.