Q46 of 149 Page 14

In what ratio does the point (-4, 6) divide the line segment joining the points A (-6, 10) and B(3, -8)?

Given points are A (-6, 10) and B(3, -8)


Let the point C(-4, 6) divide AB in ratio m:n.



By section formula,


x = , y =


For point C(-4, 6) on the line joined by the points A and B.


-4 = …(1)


And, 6 = …(2)


Solving 1,


-4(m + n) = 3m - 6n


∴4m + 4n = -3m + 6n


∴ 7m = 2n


∴ =


Hence, ratio is 2:7.


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