Q. If a line with $y$-intercept 2, is perpendicular to the line $3x - 2y = 6$, then its $x$- intercept is
A) 1
B) 2
C) $- 4$
D) 3
Explanation
(d)
Let the equation of perpendicular line to the line
$3x - 2y = 6$ is $3y + 2x = c$ …(i)
Since, it passes through (0, 2)
$\therefore c = 6$
On putting the value of $c$ in Eq. (i) we get $3y + 2x = 6$
$\Rightarrow \frac{x}{3} + \frac{y}{2} = 1$
Hence, $x$-intercept is 3.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.