Question

The equation of line, which bisect the line joining two points (2, – 19) and (6, 1) and perpendicular to the line joining two points (– 1, 3) and (5, – 1), is.

• A. $3 x - 2 y = 30$
• B. $2 x - y - 3 = 0$
• C. $2 x + 3 y = 20$
• D. None of these

Answer 1

Answer: (A)

$3 x - 2 y = 30$

Answer 2

Mid point Slope $= \frac { - 1 } { \frac { 3 + 1 } { - 1 - 5 } } = \frac { 3 } { 2 }$

Hence the required line is $3 x - 2 y = 30$.