The area of ∆PAB is calculated as Area of ∆PAB=‌‌
1
2
|
x
y
1
5
3
1
3
−2
1
| 9=‌‌
1
2
|x(3+2)−y(5−3)+(−10−9)| 18=|5x−2y−19| 5x−2y=19±18 Thus, the locus of P are, 5x−2y=1 5x−2y=37 The equations represent a pair of parallel lines .