Question

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

Answer 1

Answer:

k=-27/4

Step-by-step explanation:

A(2,1)----------------------P(x,y)---------------------B(5,-8)

M1=1. M2=3

x=m1x2+m2x1/M1+M2,y=m1y2+m2y1/M1+M2

x=1(5)+3(2)/1+3,y=1(-8)+3(1)/1+3

x=5+6/4,y=-8+3/4

x=11/4,y=-5/4

2x-y+k=0

2(11/4)-(-5/4)+k=0

22/4+5/4+k=0

22+5+4k/4=0

27+4k=0

4k=-27

k=-27/4

hope this will help you