Q. $y$-intercept of line passes through (2, 2) and is perpendicular to the line $3x + y = 3$, is
A) $\frac{1}{3}$
B) $\frac{2}{3}$
C) 1
D) $\frac{4}{3}$
Explanation
(d)
$\because$ Line perpendicular to $3x + y = 3$ is $x - 3y = \lambda$
Also, it passes through (2, 2)
$\therefore 2 - 6 = \lambda\ \ \Rightarrow \ \lambda = - 4$
$\therefore$ Equation of line is
$x - 3y = - 4$ …(i)
Hence, $y$-intercept $= \frac{- 4}{- 3} = \frac{4}{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.