NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Circles (mixed set)

## Interactive practice questions

Does $\left(x-7\right)^2+\left(y-5\right)^2=-4$(x7)2+(y5)2=4 represent the equation of a circle?

No

A

Yes

B

No

A

Yes

B
Easy
Less than a minute

Is the following statement true or false?

The graph of $\left(x-4\right)+\left(y+3\right)=4$(x4)+(y+3)=4 is a circle with radius $2$2 and centre at $\left(4,-3\right)$(4,3).

Is the following statement true or false?

The graph of $\left(x-2\right)^2+\left(y-4\right)^2=-36$(x2)2+(y4)2=36 is a circle with radius $6$6 and centre at $\left(2,4\right)$(2,4).

State the equation of the circle.

### Outcomes

#### M8-1

Apply the geometry of conic sections

#### 91573

Apply the geometry of conic sections in solving problems