How do you find the equation for the circle if the equation of two diameters are 2x+y=6 and 3x+2y=4 and radius is 9?
The two diameters will meet at the centre of the circle
Subtract gives x =8
Substitute in one equation gives y=-10
Then check that you are right in the other equation
The general equation of a circle is
Where (a,b) is the centre of the circle and r is the radius.
The centre of the circle is (8,-10) the radius is 9
Hence the answer