Q7 of 48 Page 102

In what ratio does the point (11, 15) divide the line segment joining the points (15, 5) and (9, 20)?

Let the line segment joining (15, 5) and (9, 20) be divided by P(11, 15) in the ratio λ : 1.


By internal division formula,


11 =


⇒ 11λ + 11 = 9λ + 15


⇒ 2λ = 4


⇒ λ = 2


∴ Required ratio is =2:1


Note: Alternatively, the procedure could have been carried out by y-coordinate.


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