if the point p (-1/3,0)divides the line segment joining A(1,-2) and B (-3,4) in the ratio 1:2 find the coordinates of the point Q which divides AB in the ratio 2 ratio 1.
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Answer:
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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