Q. The equation of line through the point (1, 2) whose distance from the point (3, 1) has the greatest value, is
A) $y = 2x$
B) $y = x + 1$
C) $x + 2y = 5$
D) $y = 3x - 1$
Explanation
(c)
For the greatest distance, both points lie on a straight line.
$\therefore$ Required equation of line is
$y - 2 = \frac{1 - 2}{3 - 1}(x - 1)$
$\Rightarrow \ x + 2y = 5$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.