# 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)?

##### 1 Answer

#### Explanation:

**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.

Enjoy Maths.!