How do you find the equation of a circle passing through the points of intersection of the line x+y=4 and the circle x^2+y^2=16 and the point (10,2)?
Method I :-
I will outline the soln.
First, solving the eqns. of the line and the circle, we will get the co-ords. of two pts. of intersection. Using these two pts. together with the given pt.
Method II :-
This Method is simpler than the Method I.
In this Method, we use the following Result :
Result :- If a circle
represents a circle passing through their pts. of intersection.
So, let us suppose that the reqd. eqn. of circle is,
This circle passes thro.