If points A and B are 5 units apart, which of the following can have only one possible value?
I. The area of a square region with side AB
II. The circumference of a circle passing through points A and B
III. The area of a rectangular region with diagonal AB
A. I only
B. II only
C. III only
D. I and II only
E. I and III only
1: Area od square = (Side)^2=(AB)^2=25 ( fixed )
2: radius of circle can be anything as center of circle is pivot.==> radius is not fix ==> 2*pi*r is not fix.
3. As AB as diagonal is fix ==> point A and B are fix ==> Other point C and D of rectangle are not fix ==> Sides are not fix ==> Area is not fix.
Thus Answer = A