Question

Let P, Q, R and S be the points on the plane with position vectors - 2i - j, 4i, 3i + 3j and - 3i + 2j respectively. The quadrilateral PQRS must be a 

(A) parallelogram, which is neither a rhombus nor a rectangle 

(B) square 

(C) rectangle, but not a square 

(D) rhombus, but not a square

Answer 1

Answer is (A) parallelogram, which is neither a rhombus nor a rectangle

See Fig. Evaluating mid-point of PR and QS which gives M = [i/2 + j], same for both.

Hence, PQRS is a parallelogram but not rhombus or rectangle.