# Worksheet: Equation of a Circle Passing through Three Noncollinear Points

In this worksheet, we will practice finding the equation of a circle passing through three noncollinear points that form a right triangle.

**Q3: **

Find the general equation of the circle through the origin that also passes through and .

- A
- B
- C
- D

**Q4: **

Find the general form of the equation of a circle that touches the -axis and passes through the two points and .

- A ,
- B ,
- C ,
- D ,

**Q5: **

Find the centre of the circle through points , , and .

- A
- B
- C
- D

**Q6: **

The points , , , and form a rectangle. What is the equation of the circle that contains all four points?

- A
- B
- C
- D

**Q7: **

The coordinates for three of a group of aerialists in a circular formation are , , and . If each unit represents 1 foot, determine the diameter of their circular formation.

**Q16: **

How many circles can pass through three vertices of a parallelogram?

- A2
- Binfinite
- C0
- D1

**Q17: **

Find the general equation of the circle if the circle touches the -axis at and intersects the -axis at and .

- A
- B
- C
- D