MENU
Educational Resources
Exam Papers
Form 1 Videos
Form 2 Videos
Form 3 Videos
Form 4 Videos
Grade 4 Videos
Grade 5 Videos
Grade 6 Videos
Grade 7 Videos
Class 8 Videos
Form 1 Exams
Form 2 Exams
Form 3 Exams
Form 4 Exams
KCSE Videos
Class 8 Exams
Grade 5 Exams
Grade 4 Exams
Grade 3 Exams
Grade 2 Exams
Grade 1 Exams
Online Tests
Online Tuition
Sign In
Join
Get access to thousands of educational resources
Get premium membership
and access revision papers with marking schemes, video lessons and live classes.
OR
Processing. Please wait.
Form 3 Equations of a Circle Topical Questions and Video Answers
Find the radius and the coordinates of the centre of the circle whose equation is
2
x
2
+
2
y
2
-
3
x
+
2
y
+
1
2
=
0
(10m 47s)
1587 Views
SHARE
|
« Previous
Next »
1.
Obtain the centre and radius of the circle represented by the equation
X
2
+
y
2
-
10
y
+
16
=
0
2.
The equation of a circle is given by
x
2
+
4
x
+
y
2
-
5
=
0
. Find the radius and the centre of the circle.
3.
The points with coordinates (5,5) and (-3,-1) are the ends of a diameter of a circle centre A. Determine: (a) The coordinates of A (b) The equation of the circle, expressing it in form
x
2
+
y
2
+
a
x
+
b
y
+
c
=
0
where a, b and c are constant.
4.
Find the radius and the coordinates of the centre of the circle whose equation is
2
x
2
+
2
y
2
-
3
x
+
2
y
+
1
2
=
0
5.
The equation of a circle is given by
4
x
2
+
4
y
2
-
8
x
+
20
y
-
7
=
0
. Determine the coordinates of the centre of the circle.
6.
A circle whose equation is
(
x
-
1
)
2
+
(
y
-
k
)
2
=
10
passes through the point (2,5). Find the coordinates of the two possible centres of the circle.
7.
The circle shown on the next page cuts the x-axis at (-2,0) and (4,0). It also cuts y-axis (0,2) and (0,-4). Determine the: (a) (i) coordinates of the centre (ii)radius of the circle (b) Equation of the circle in the form x2+y2+ax+by=c where a, b, and c are constants.
8.
The equation of a circle centre (a,b) is
x
2
+
y
2
-
6
x
-
10
y
+
30
=
0
. Find the values of a and b.
9.
The equation of a circle is given by
x
2
+
4
x
+
y
2
-
2
y
-
4
=
0
. Determine the centre and radius of the circle.
10.
The diameter of a circle, centre O has its end points M (-1, 6) and N (5,-2). Find the equation of the circle in form
x
2
+
y
2
+
a
x
+
b
y
=
c
where a, b, and c are constants.
×
Share Content Via:
Facebook
Twitter
WhatsApp
Close
Get premium membership