Q12 of 48 Page 102

Find the ratio in which the point (–3, p) divides the join of points (–5, –4) and (–2, 3) internally. Also find the value of p.

Let the line segment joining (–5, –4) and (–2, 3) be divided by the point (–3, p) in the ratio λ : 1.


By internal division formula



⇒ –2λ – 5 = –3λ – 3


⇒ λ = 2


∴ Required ratio is =2:1.


Now,


∴ p


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