10th Class Mathematics Coordinate Geometry Question Bank Case Based (MCQs) - Coordinate Geometry

The coordinates of the point M on PR such that \[\text{PM}:\text{MR}=\text{2}:\text{1},\]is:

A) \[(4,3)\]

B) \[(5,3)\]

C) \[(5,4)\]

D) \[(2,3)\]

Correct Answer: B

Solution :

Given, M divides PR in the ratio \[2:1\]

\[\therefore \] Coordinates of

\[M=\left( \frac{2\times 7+1\times 1}{2+1},\frac{2\times 2+1\times 5}{2+1} \right)\]

\[=\left( \frac{14+1}{3},\frac{4+5}{3} \right)=\left( \frac{15}{3},\frac{9}{3} \right)=(5,3)\]

So, option [b] is correct.