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?

1 Answer
Aug 27, 2016



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 #(x-a)^2+(y-b)^2=r^2#
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