Question

Equation of the perpendicular bisector of the line segment joining the points (7, 4) and (– 1, – 2), is.

• A. $4 x - 3 y = 15$
• B. $3 x + 4 y = 15$
• C. $4 x + 3 y = 15$
• D. None of these

Answer 1

Answer: (C)

$4 x + 3 y = 15$

Answer 2

Mid point $\equiv ( 3,1 )$

Slope of perpendicular

Therefore the required equation is

$4 x + 3 y = 4 ( 3 ) + 3 ( 1 ) = 15$.