Circle Geometry Unit Test Review
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1
2Circle Geometry Unit Test Review
Name: ________________________
Ms. Barnaby
Date: _________________________
Mathematics 12 Advanced
1. Given that C is the centre of the circle, find the value of x.
2. A circle has a diameter of 20cm. A chord is 6 cm from the centre of the circle. How long is the chord?
3. If AB is the diameter of the circle and AC=BC, what is the value of x?
4. Given AB with endpoint A(-3,5) and midpoint M(-1, -3), what are the coordinates of B?
5. Given coordinates B(-2, -3) and D(4, 1) and altitude drawn to BD, what is the slope of the altitude?
6. Given A(-4, 6), B(-1, 2), C(x, 14) and D(5, 10). If AB is parallel to CD, what is the value of x?
2
2
7. Where in relation to the circle
36
, would point P(-3, 5) lie?
x
+ y
=
2
2
8. What is the centre and radius of the circle
4
4
8
0
?
x
+
y
+
y
=
2
2
9. What is the length of the major axis of
( 4
) 2
(
) 3
100
?
x
+
+
y
+
=
2
2
10. What is the image of
+ y
=
1
under the mapping rule
(
,
)
→
3 (
+
2
3 ,
−
) 5
? Write the equation
x
x
y
x
y
in general, standard, and transformational form.
2
2
1
1
11. A circle whose equation is
has its radius increased by a factor of 2,
(
x
−
) 2
+
(
y
+
) 3
=
1
5
5
translated 1 unit right, and 2 units up. What is the equation of the new circle? Write the equation in
general, standard, and transformational form.
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