10th Class Mathematics Coordinate Geometry Question Bank MCQs - Coordinate Geometry

The coordinate of the point dividing the line segment joining the points \[A(1,3)\] and \[B(4,6)\] in the ratio \[2:1,\] is:

A) \[(3,5)\]

B) \[(5,3)\]

C) \[(3,-5)\]

D) \[(2,5)\]

Correct Answer: A

Solution :

[a] Required point

\[=\left\{ \frac{2\times 4+1\times 1}{2+1},\frac{2\times 6+1\times 3}{2+1} \right\}\]

(By section formula)

\[=\left( \frac{8+1}{3},\frac{12+3}{3} \right)=\left( \frac{9}{3},\frac{15}{3} \right)=(3,5)\]