The Circle

Question 1

Centre=0,0
r= 3
Find equation

Answer 1

x(pwr2)+y(pwr2)=9

Question 2

Centre=3,4
r=5
Find the equation

Answer 2

x(pwr2)-6x+y(pwr2)-8y=0

Question 3

Find centre and radius
Equation= (x-4)(pwr2)+(y-5)(pwr2)=9

Answer 3

Centre=4,5
Radius=3

Question 4

Find centre and radius
Equation: x(pwr2)+y(pwr2)-8x-10y+32

Answer 4

Centre:4,5
r=3

Question 5

Equation of circle:x(pwr2)+y(pwr2)+4x-2y-5
Equation of line:x-2y-1
Find the point of intersection and state whether the line is a cord or a tangent

Answer 5

-3,-2 and 1,0
Line is a chord

Question 6

Find the point of intersection and state whether the line is a cord or a tangent
Line:3x-y+8
Circle=x(pwr2)+y(pwr2)-4x-8y+10

Answer 6

-1,5
Line is a tangent

Question 7

Points q,p and r are on the circle s. Find the equation of the circle s
q:-2,6
p:-4,2
r:4,8

Answer 7

x(pwr2)+y(pwr2)-6x-2y-40

Question 8

Find the equation of a circle that contains (–4,1)(0,3) and whose centre lies on the line x-2y+11=0

Answer 8

x(pwr2)+y(pwr2)+6x-8y+15

Question 9

Find the equation of the 2 circles that satisfy these conditions
Point on circle:-1,3
r=[20]
Centre lies on line x+y=0

Answer 9

g=-1 and 5
f=1 and -5