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

If the doctor divides the rope joining Sonu and Goru in the ratio \[1:2,\] then the coordinates of the seat of the doctor is:

A) \[\left( \frac{10}{3},\frac{11}{3} \right)\]

B) \[\left( \frac{11}{3},\frac{10}{3} \right)\]

C) \[(4,4)\]

D) \[(3,4)\]

Correct Answer: A

Solution :

Coordinates of the seat of the doctor

\[=\left\{ \frac{1\times 6+2\times 2}{1+2},\,\,\frac{1\times 5+2\times 3}{1+2} \right\}\]

\[=\left( \frac{6+4}{3},\frac{5+6}{3} \right)=\left( \frac{10}{3},\frac{11}{3} \right)\]

So, option [a] is correct.