Circles True or False
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1.
Given one line and one circle that you can arrange in any way you like, what is the minimum number of points where they intersect? -> 0
True
False
2.
Given one line and one circle that you can arrange in any way you like, what is the maximum number of points where they intersect? -> 2
True
False
3.
Suppose line
q
is tangent to ⊙
O
at the point
P
. Which of the following must be true? -> Line
q
is perpendicular to
OP
and may be perpendicular to another radius of ⊙
O
.
True
False
4.
In the figure below, segments
AC
and
BC
are tangent to ⊙
O
at points
A
and
B
, respectively. If
AO
= 3 cm and
AC
= 5 cm, what is
CB
?
-> 5 cm
True
False
5.
What is the equation of a circle with radius 12 units and center at (3, -2)? -> (
x
– 3)
2
+ (
y
+ 2)
2
= 144
True
False
6.
What is the center of the circle with equation (
x
– 5)
2
+ (
y
+ 18)
2
= 67? -> (5, -18)
True
False
7.
What is the radius of the circle with equation (
x
– 8)
2
+ (
y
+ 1)
2
= 54? -> 54 units
True
False
8.
What is the exact circumference of the circle with equation (
x
+ 5)
2
+ (
y
+ 2)
2
= 36? -> 10π units
True
False
9.
If line
m
is tangent to ⊙
O
at
P
and the slope of the line containing
OP
is
, what is the slope of line
m
? ->
True
False
10.
Consider the circle with radius 6 units, centered at the origin. Where is the point (-3, 4) in relation to the circle? -> Perpendicular to the circle
True
False
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