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(α₁,α₂), (α₂,α3) and (α3,α₁) are respectively the roots of x² - 2ax + 2 = 0, x² -2bx + 3 = 0, x² - 2cx + 6 = O. If α₁,α₂,α3 € R+, then the value of a + b + c is equal to (1) 2 (3) 6 (2) 3 (4) 12

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