If the coordinates of A and B be (1, 1) and (5, 7), then the... | MATH - ANGLE BETWEEN TWO STRAIGHT LINES | SolveeIt | Solveeit

Today, August 18

Question

If the coordinates of A and B be (1, 1) and (5, 7), then the equation of the perpendicular bisector of the line segment AB is-

A

2x + 3y = 18

B

2x –3y + 18 = 0

C

2x + 3y –1 = 0

D

3x –2y + 1 = 0

Answer

2x + 3y = 18

Explanation

Solution

Slope of AB = $\frac { 3 } { 2 }$

\ slope of line perpendicular to AB m = – $\frac { 2 } { 3 }$

\ equation y – 4 = $\frac { - 2 } { 3 }$ (x –3)

2x + 3y = 18