Q. If the sum of the roots of the equation $ax^{2} + 2x + 3a = 0$ is equal to their products, then the value of $a$ is
A) $- \frac{2}{3}$
B) $- 3$
C) $4$
D) $- \frac{1}{2}$
Explanation
(a)
Sum of roots$= \frac{- 2}{a}$
And product of the roots$= \frac{3a}{a} = 3$
Given, $- \frac{2}{a} = 3\ \Rightarrow a = - \frac{2}{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.