point P divides the line segment joining the points A(-1,3) and B(9,8) such that AP/BP=k/1. if P lies on the line x-y+2=0 find k
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Answer:
9k-1 8k+3
P(x, y) = ( ———— , ————)
k+1 k+1
A/Q,
x - y + 2 = 0
9k-1 8k+3
=> ———— - ———— + 2 = 0
k+1 k+1
=> 9k-1-8k-3 = - 2(k+1) = -2k -2
=> 3k = 2
k 2
=> —— = —— => k:1 = 2:3 ANS.
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