Question

If the mid points of sides of ΔABC are P(9, 2, 5), Q(– 7, 6, 1), R(8, – 9, 3) then the centroid of ΔABC is ____

(A) [(10/3), {(– 1)/3}, (2/3)]

(B) [{(– 10)/3}, {(– 1)/3}, {(– 2)/3}]

(C) [– 1, – 1, (2/3)]

(D) None of these

Answer 1

The correct option (D) None of these

Explanation:

centroid of ΔABC = centroid of ΔPQR as the triangles are equal 

∴ centroid of ΔABC  = [{[9 + (– 7) + 8]/3}, {[2 + 6 + (– 9)]/3}, {[5 + 1 + 3]/3}]

= [(10 / 3), {(– 1)/3}, 3].