# Equation of a Circle - Page 3

Questions

- Two circles have the following equations #(x +2 )^2+(y -5 )^2= 64 # and #(x +4 )^2+(y -3 )^2= 49 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- A circle has a center that falls on the line #y = 1/6x +1 # and passes through #(9 ,8 )# and #(2 ,5 )#. What is the equation of the circle?
- Two circles have the following equations #(x -1 )^2+(y -2 )^2= 64 # and #(x +7 )^2+(y -4 )^2= 9 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- A circle has a center that falls on the line #y = 7/2x +3 # and passes through #(1 ,2 )# and #(8 ,5 )#. What is the equation of the circle?
- A circle has a center that falls on the line #y = 2/3x +7 # and passes through # ( 3 ,4 )# and #(6 ,4 )#. What is the equation of the circle?
- Find the points of intersection of line #y=3+2x# with the circle #x^2+y^2=50#?
- Two circles have the following equations: #(x +2 )^2+(y -1 )^2= 49 # and #(x +4 )^2+(y +7 )^2= 25 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- Two circles have the following equations: #(x +6 )^2+(y -1 )^2= 49 # and #(x +4 )^2+(y +7 )^2= 81 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- Two circles have the following equations #(x +5 )^2+(y +3 )^2= 9 # and #(x +4 )^2+(y -1 )^2= 1 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- A circle has a center that falls on the line #y = 1/3x +7 # and passes through # ( 3 ,1 )# and #(6 ,9 )#. What is the equation of the circle?
- Two circles have the following equations #(x +8 )^2+(y -6 )^2= 64 # and #(x +4 )^2+(y -3 )^2= 144 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- How do you write an equation of a circle that contains (-2,-2), (2, -2) and (2,2)?
- Two circles have the following equations #(x +5 )^2+(y +6 )^2= 9 # and #(x +2 )^2+(y -1 )^2= 81 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- The general form of the equation of a circle is x2+y2−4x−8y−5=0. What are the coordinates of the center of the circle?
- How do you write the standard equation of the circle the given center that passes with through the given point: center (5,9); point (2, 9)?
- A circle has a center that falls on the line #y = 1/7x +4 # and passes through # ( 7 ,8 )# and #(3 ,1 )#. What is the equation of the circle?
- A circle has a center that falls on the line #y = 5/8x +6 # and passes through # ( 1 ,4 )# and #(2 ,9 )#. What is the equation of the circle?
- How do you find the equation of a circle in standard form given #x^2+y^2+4x+6y+4=0#?
- What is the equation of the circle with a center at #(-4 ,6 )# and a radius of #3 #?
- A circle C has equation #x^2+y^2-6x+8y-75=0#, and a second circle has a centre at #(15,12)# and radius 10. What are the coordinates of the point where they touch?