Question

Find the equations of the circle which is tangent to both axes and their center lies on the line 2x+3y=10

Answer 1

(x - 2)² + (y - 2)² = 4

Explanation:

The circle is tangent to both axes, so the radius = x = y

Center is on 2x + 3y = 0, so 2x + 3x = 1-

x = 2 = y

center: (2, 2)

radius = 2

equation: (x - 2)² + (y - 2)² = 2²

(x - 2)² + (y - 2)² = 4