Q. 74.7( 8 Votes )

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

Answer :

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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