Q6 of 48 Page 102

In what ratio is the line segment joining the points (2, –3) and (5, 6) is divided by y-axis?

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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