Question

What is an equation for a circle if the endpoints of a diameter are at (3, 4) and (-3, -2)?

Answer 1

Assume general equation of circle
x^2+y^2+2gx+2hy+k=0
science these two points lie on the circle they shoud satisfy the equation of circle
In above equation put x=3 & y=4 in you will get one equation in g,h,k
In above equation put x=-3 & y=-2 in you will get other equation in g,h,k
Now since this equation involves three variables the third equation can be found out by using the formula for radius of general equation