Question

A point P divides the line segment joining the points A(−1,3) & B(9,8) such that AP/BP=k/1. If P lies on the line – + 2 = 0, find k.​

Answer 1

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

Answer 2

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