Q. The equation of the line which is such that the portion of line segment intercepted between the coordinate axes is bisected at $(4,\ - 3),$ is
A) $3x + 4y = 24$
B) $3x - 4y = 12$
C) $3x - 4y = 24$
D) $4x - 3y = 24$
Explanation
(c)
Let the coordinates of point $A$ and $B$ are $(a,\ 0)$ and $(0,\ - b)$
$\therefore\frac{a}{2} = 4\ \ \Rightarrow \ a = 8$
and $- \frac{b}{2} = - 3\ \Rightarrow b = 6$
$\therefore Equation\ of\ line\ is\frac{x}{8} + \frac{y}{- 6} = 1$
$\Rightarrow 3x - 4y = 24$
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Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.