Direction: Consider the following for the next two (02) items that follow.

A circle is passing through the points (5, -8), (-2, 9) and (2, 1).

What are the coordinates of the center of the circle?

Direction: Consider the following for the next two (02) items that follow.

A circle is passing through the points (5, -8), (-2, 9) and (2, 1).

If r is the radius of the circle, then which one of the following is correct?

Direction: Consider the following for the next two (02) items that follow.

The two vertices of and equilateral triangle are (0, 0) and (2, 2).

Consider the following statements:

1. The third vertex has at least one irrational coordinate.

2. The area is irrational.

Which of the above statements is/are correct?

Direction: Consider the following for the next two (02) items that follow.

The two vertices of and equilateral triangle are (0, 0) and (2, 2).

The difference of coordinates of the third vertex is