Please help me find the standard equation of the circle passing through the point (−3,1) and containing the points of intersection of the circles
x^2 + y^2 + 5x = 1
and
x^2 + y^2 + y = 7
I don't know how to begin, I am used to tangent lines or other points, but I don't know what is visually...
is there a algebraic way of solving it using distance formulas like d = |ax+by+c|/sqrt(a^2+b^2°+) or something else?
I solved for eqn of line of the that passes thru both the small and large circle being y=4/3x, and set k=4/3h since it passes thru the large circle as well (i think), with this...
please help me find the standard equation of the circles that have radius 10 and are tangent to the circle X^2 + y^2 = 25 at the point (3,4).
the soln: (x-9)^2 + (y-12)^2 = 100, (x+3)^2 + (y+4)^2 = 100,
i found the eqn that intersects the centre of the small circle and the larger one to be...