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Question 17

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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