Question

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

(a) \((\frac 43,3)\)

(b) \((3,\frac 23)\)

(c) \((3,\frac 43)\)

(d) \((\frac 43,\frac23)\)

Answer 1

Correct option is (c) \((3,\frac 43)\)