question_answer

The length of the diagonal BD of the parallelogram \[\Delta \mathbf{BCD}\] is 12 cm. If P and Q are the centroid of the \[\Delta \mathbf{ABC}\] and \[\Delta \mathbf{ADC}\] respectively then the length of the line segment PQ is

A)  4 cm                           

B)  4 cm

C)  9 cm                           

D)  12 cm

Correct Answer: B

Solution :

(b): \[OP=\frac{1}{3}\times 6=2\]cm. \[OQ=\frac{1}{3}\times 6=2\]cm. \[\therefore \]\[PQ=4\]cm.