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If the system of equations ax + by + c =...

If the system of equations `ax + by + c = 0,bx + cy +a = 0, cx + ay + b = 0` has infinitely many solutions then the system of equations `(b + c) x +(c + a)y + (a + b) z = 0(c + a) x + (a+b) y + (b + c) z = 0(a + b) x + (b + c) y +(c + a) z = 0` has

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