question_answer

The point of trisection of the line joining the points (0, 3) and (6, -3) are 

A) \[(2,\,0)\]and\[(4,\,-1)\]

B) \[(2,\,-1)\]and \[(4,1)\]

C) \[(3,1)\]and\[(4,-1)\]

D) \[(2,1)\]and\[(4,-1)\]

Correct Answer: D

Solution :

\[C\,\left( \frac{6+0}{3},\,\,\frac{-3+6}{3} \right)\equiv (2,\,\,1)\] \[D\,\left( \frac{2\times 6+0}{3},\,\frac{-6+3}{3} \right)\,\equiv \,(4,\,-1)\].