9th Class
Mathematics
Quadrilaterals
Question Bank
Quadrilaterals
question_answer
If \[PQ\] and \[RS\] are two perpendicular diameters of a circle, what is\[PRQS\]?
A) A rectangle
B) A trapezium
C) A square
D) A rhombus but not a square
Correct Answer:
C
Solution :
Let the diagonals meet at O as shown in the figure. \[\angle POS=\angle ROQ={{90}^{o}}\] Also \[OP=OQ=OS=OR,\]ie., the diagonals are equal and bisect at right angles. Clearly PRQS is square.