a point p divides a line segment joining the points a(4,6) and b (-1,-4) in the ratio k:1. point p lies on the line x=y. find the value of k
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Answer:
k = 2/3
Step-by-step explanation:
It is given that P divides the line segment joining A(-1,3) and B(9,8) in the ratio k:1. so, coordinates of P are (
k+1
9k−1
,
k+1
8k+3
).
(
k+1
9k−1
,
k+1
8k+3
) lines on the line x-y+2=0
∴
k+1
9k−1
−
k+1
8k+3
+2=0
⇒9k−1−8k−3+2k+2=0
⇒3k−2=0
⇒k=2/3
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