Question

There is a parallelogram inside a circle such that all of its vertices lie on the circle. Which of the following can be true for the parallelogram in this case?

i) It can be a rhombus

ii) It can be a square

iii) It can be a rectangle

(iv) It can be a trapezium

• A. i ,ii
• B. ii,iii
• C. ii,iii,iv
• D. All of these

Answer 1

The correct option is B

ii,iii

Only squares and rectangles are the parallelograms that can be inscribed in a circle. Other parallelograms can not be inscribed in a circle. You can try to inscribe a parallelogram into a circle, you will always end up with a square or rectangle. Trapezium can also be inscribed in a circle but it is not a parallelogram. So, only ii and iii are true.