Question

Point P divides the line segment joining the points A(2, 1) and B(5,- 8) such that AP/AB=1/3 P lies on the line 2x - y + k = 0, find the value of k.​

Answer 1

Answer:

given AP:AB-1:3

SO,AP:PB=1:2

GIVEN THAT P is lie on 2x-y+k=0

2(3)-(-2)+k=0

⇒6+2+k=0

⇒8+k =0

⇒k=-8