Question

Through a point P(f, g, h) a plane is drawn at right angles to OP, to meet the axes in A,  B, C. If O is (0, 0, 0) the centroid of \(\triangle\)ABC is

(a) \(\left(\frac f{3r},\frac g{3r} , \frac h{3r}\right)\)

(b) \(\left(\frac {r^2}{3f^2},\frac {r^2}{3g^2} , \frac {r^2}{3h^2}\right)\)

(c) \(\left(\frac {r^2}{3f},\frac {r^2}{3g} , \frac {r^2}{3h}\right)\)

(d) \(\left(\frac {r^2}{3r^2},\frac {g^2}{3r^2} , \frac {h^2}{3r^2}\right)\)

Answer 1

Correct option is (c) \(\left(\frac {r^2}{3f},\frac {r^2}{3g} , \frac {r^2}{3h}\right)\)