1.
Let the system of equations
2x+3y+5z=92x + 3y + 5z = 9

7x+3y2z=87x + 3y - 2z = 8

12x+3y+(4+λ)z=16μ12x + 3y + (4+\lambda)z = 16 - \mu

have infinitely many solutions. Then the radius of the circle centred at (λ,μ)(\lambda, \mu) and touching the line 4x=3y4x = 3y is