The point p divides the join of (2,1) and (-3,6) in the ratio 2:3 . Does p lie on the line x-5y+15= 0
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Point P divides the join of (2,1) and (-3,6) in the ratio 2 : 3.
So, coordinates of P are :
(
5
2(−3)+3(2)
,
5
2(6)+3(1)
)=(0,3)
If P lies on the given line, then it must satisfy the given equation of the line.
Therefore,
x−5y+15=0
0−15+15=0
0=0
Hence, point P lies on the given line.
Step-by-step explanation:
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