Mathematics

Problem

The equation of the circle which touches the axis of coordinates and the line

\frac{x}{3} + \frac{y}{4} = 1

and whose centre lies in the first quadrant is

x^2 + y^2 - 2\lambda x - 2\lambda y + \lambda^2 = 0

, then

\lambda

is equal to a. 1 b. 2 c. 3 d. 6