Q5 of 48 Page 102

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

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


Since P lies on X-axis, so its ordinate = 0


By internal division formula,


y =



⇒ 2λ = 3


⇒ λ =


∴ Required ratio is =3:2


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