Q. 11

# Mark the correct alternative in each of the following:

If are the position vectors of points A, B, C, D such that no three of them are collinear and then ABCD is a

A. rhombus

B. rectangle

C. square

D. parallelogram

Answer :

And,

(Given)

Multiplying the aqbove mentioned equation by ,

So, the position vector of mid – point of BD = Position Vector of mid - point of AC.

Hence the diagonals bisect each other.

Therefore the given figure ABCD is a parallelogram.

Option (D) is the answer

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