Answer :

Let the line segment joining (2, –3) and (5, 6) be divided by Y-axis in the ratio λ : 1 by point P.

Since P lies on Y-axis, so its abscissa = 0

By internal division formula are

x =

⇒ 5λ = –2

The negative sign implies external division.

⇒ λ = (externally)

∴ Required ratio is =2:5 externally.

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