In what ratio does the point (1, 2) divide the line seg... – Geometry

Geometrymedium · Past Paper

In what ratio does the point (1, 2) divide the line segment joining ( -2, 1) and ( 7, 4)?

A1:2

B2:1

C1:3

D3:1

✓ Correct Answer: A — 1:2

Using section formula for x: 1 = (m1*7 + m2*(-2))/(m1+m2) => m1+m2 = 7m1 - 2m2 => 3m2 = 6m1 => m1/m2 = 1/2.

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