Question

Let O (0, 0), P(3, 4), Q (6, 0) be the vertices of the triangle OPQ. The point R inside the Δ OPQ is such that the triangle OPR, PQR, OQR are of equal area. The coordinates of R are

(a) \((\frac{4}3,3)\)

(b) \((3,\frac{2}3)\)

(c) \((3,\frac{4}3)\)

(d) \((\frac{4}3\,,\frac{2}3)\)

Answer 1

Correct option is  (c) \((3,\frac{4}3)\)