question_answer

The points \[A(-a,\,\,-a),\] \[B(a,\,\,-a),\] \[C(-a,\,\,a)\]\[D(-a,\,\,a)\] form a polygon. Where does the origin lie?

A)  On the vertex of the polygon.

B)  On the side of the polygon.

C)  Outside the polygon.

D)  At the point where the diagonals of the polygon meet.

Correct Answer: C

Solution :

Given points are \[A(-a,-a),B(a,-a),C(a,a)\]and \[D(-a,a)\] Hence, it is clear that the given points form a square and the origin lies at the point where the diagonals of the square intersect.