North Carolina Math 3 EOC Chapter 8

1 pt

1.

Find the equation of a circle with center (15, 1) and radius 6.

A

${(x-15)}^{2}+{(y-1)}^{2}=36$

B

${(x-15)}^{2}+{(y-1)}^{2}=6$

C

${(x+15)}^{2}+{(y+1)}^{2}=36$

D

$(x-15)+(y-1)=6$

1 pt

3.

A circle has a center at the point (5, 0) and an area of $3\mathrm{\pi}{\mathrm{units}}^{2}$. Find the equation of the circle.

A

$\mathrm{x}+{5}^{2}+{\mathrm{y}}^{2}=3$

B

${(\mathrm{x}-5)}^{2}+{\mathrm{y}}^{2}=\sqrt{3}$

C

${(\mathrm{x}-5)}^{2}+{\mathrm{y}}^{2}=3$

D

${\mathrm{x}}^{2}+{(\mathrm{y}-5)}^{2}=\sqrt{3}$

1 pt

5.

Which of the following is the graph of ${\mathrm{x}}^{2}+{\mathrm{y}}^{2}=256$?

A

B

C

D

1 pt

6.

If the equation of a circle is ${\mathrm{x}}^{2}+{\mathrm{y}}^{2}=25$ and the equation of a line is $\mathrm{y}=-\mathrm{x}-5$, find the points(s) of intersection, if any.

A

no intersections

B

$(\sqrt{5},\sqrt{5})$

C

(0, –5), (–5, 0)

D

(12, –17), and (–12, 17)

1 pt

7.

If the equation of circle A is ${\mathrm{x}}^{2}+{\mathrm{y}}^{1}=36$, and the equation of circle B is ${(x-6)}^{2}+{(y-6)}^{1}=36$. Find the point(s) of intersection, if any.

A

(6, 0) and (0, 6)

B

(0, 6)

C

(0, 0)

D

no intersections