Question

The equation of the circle passing through (1, 2) and the points of intersection of x² + y² + 13x – 3y = 0 and 2x² + 2y² + 4x – 7y – 25 = 0 is

(1) 4x² + 4y² – 30x – 10y = 25 

(2) 4x² + 4y² + 30x – 13y – 25 = 0

(3) 4x² + 4y² – 17x – 10y + 25 = 0 

(4) None of these

Answer 1

(2) 4x² + 4y² + 30x – 13y – 25 = 0

Explanation

The equation of the required circle is

=> 4x² + 4y² + 30x – 13y – 25 = 0