question_answer

The coordinates of the join of trisection of the points (­-2, 3), (3, -1) nearer to (-2, 3), is

A) \[\left( -\frac{1}{3},\,\frac{5}{3} \right)\]

B) \[\left( \frac{4}{3},\frac{1}{3} \right)\]

C) \[\left( -\frac{3}{4},\,2 \right)\]

D) \[\left( \frac{1}{3},\,\frac{5}{3} \right)\]

Correct Answer: A

Solution :

C divides the line in the ratio 1 : 2, so coordinates of C will be \[\left( -\frac{1}{3},\,\frac{5}{3} \right)\], which is the required point.