Free Printable Quiz # 1: Circle

1.

What is circle?

a)

A set of all points whose distance from a fixed point, called the focus, is equal to the distance from a fixed line, called the directrix.

b)

A set of all points for which the sum of the distances from two fixed points (the foci) is constant.

c)

A set of all points on a plane that are a fixed distance from a center.

d)

A set of all points where the difference between their distances from two fixed points (the foci) is constant.

2.

What is conic sections?

a)

Any curve produced by the intersection of the plane to the two sphere.

b)

A nondegenerate curves generated by the intersections of a plane with one or two nappes of a cone.

c)

A plane generated by the intersection of the cone.

d)

Any curve produced by the parallelism of the plane to the two cone.

3.

What is the equation of the circle if the center is at the origin?

a)

$x^2-y^2=r^2$

b)

$x^2+y^2=r^2$

c)

$\left(x-y\right)^2+\left(x-y\right)^2=r^2$

d)

$\left(x+y\right)^2-\left(x+y\right)^2=r^2$

4.

What is the equation of the circle if the radius is 5 and center is (0,0)?

a)

$x^2-y^2=25$

b)

$x^2+y^2=25$

c)

$x^2-y^2=\sqrt{5}$

d)

$x^2+y^2=\sqrt{5}$

5.

What is the equation of the circle if the radius is 7 and the center is (-3, 4)?

a)

$\left(x-3\right)^2+\left(x+4\right)^2=49$

b)

$\left(x+3\right)^2+\left(x-4\right)=49$

c)

$\left(x-3\right)^2-\left(y+4\right)^2=\sqrt{7}$

d)

$\left(x+3\right)^2+\left(y-4\right)^2=\sqrt{7}$

6.

What is the radius and center of the circle if the given equation is $x^2+y^2=121$ ?

a)

$C\left(0,0\right);\ r=12$

b)

$C\left(0,0\right);r=\sqrt{11}$

c)

$C\left(0,0\right);r=11$

d)

$C\left(0,0\right);r=\sqrt{12}$

7.

What is the radius and center of the circle if the given equation is $\left(x+2\right)^2+\left(y-3\right)^2=36$ ?

a)

$C\left(-2,3\right);r=6$

b)

$C\left(2,-3\right);r=6$

c)

$C\left(-2,-3\right);r=6$

d)

$C\left(2,3\right);r=6$

8.

What is the general form of the circle if the given radius is 5 and the center is (5,-2)?

a)

$x^2+y^2+10x-4y+4=0$

b)

$x^2+y^2-10x+4y-4=0$

c)

$x^2+y^2-10x+4y+4=0$

d)

$x^2+y^2+10y+4y+4=0$

9.

What is the graph of the circle if the given equation is $\left(x-3\right)^2+\left(y+2\right)^2=4$

a)

b)

c)

d)

10.

What is the graph of the circle if the given equation is $x^2+y^2=25$ ?

a)

b)

c)

d)

Quiz # 1: Circle

Total questions: 10

Worksheet time: 3mins

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