Let the system of equations:
$2x + 3y + 5z = 9$
$7x + 3y - 2z = 8$
$12x + 3y - (4 + \lambda )z = 16 - \mu $
have infinitely many solutions. Then the radius of the circle centred at $(\lambda ,\mu )$ and touching the line $4x = 3y$ is
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