JEE Advance - Mathematics (1983 - No. 52)
The equation of the circle passing through (1, 1) and the points of intersection of $${x^2} + {y^2} + 13x - 3y = 0$$ and $$2{x^2} + 2{y^2} + 4x - 7y - 25 = 0$$ is
$$4{x^2} + 4{y^2} - 30x - 10y - 25 = 0$$
$$4{x^2} + 4{y^2} + 30x - 13y - 25 = 0$$
$$4{x^2} + 4{y^2} - 17x - 10y + 25 = 0$$
none of these