Question

Find the equation of circle with radius 5 units and touching both the co-ordinate axes.​

Answer 1

Answer:

The equation of a circle that touches both the coordinate axes and has radius a is x 2 + y 2 − 2 a x − 2 a y + a 2 = 0 . The given radius of the circle is 5 units, i.e. . Thus, the equation of the circle is x 2 + y 2 − 10 x − 10 y + 25 = 0 .