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This is the answer 2/3 hand writing is poor but solution is correct
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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
Hope it's helpful dear...........
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