Assignment:
Q1. Find the equation of the circle with center at the intersection of 4x + y - 4 = 0 and x - y - 6 = 0 and passing through (-1, -3).
Q2. What is the equation of the circle passing through (12, 1) & (2, -3) and having its center on the line 2x - 5y + 10 = 0.
Q3. The sides of the triangle are on the lines 3x - y - 5 = 0, x + 3y - 1 = 0 and x - 3y + 7 = 0. Find the equation of the circle inscribed in the triangle.
Provide complete and step by step solution for the question and show calculations and use formulas.