The equation of circle of radius 5 units touches the coordinates axes in the second quadrant is:
x2 + y2 + 10x – 10y + 25 = 0
The coordinates of the centre of the required circle is (–5, 5) and radius is 5 units. The equation of circle is:
(x + 5)2 + (y – 5)2 = (5)2
⇒ x2 + 25 + 10x + y2 + 25 – 10y = 25
⇒ x2 + y2 + 10x – 10y + 25 = 0