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in Co-ordinate geometry by (64.9k points)

Let ABC be a rectangle such that ∠ACB = π/6  and let a, b and c denote the lengths of the sides opposite to A, B and C respectively. The value(s) of x for which  a = x2 + 1, b = x2 - 1 and c = 2x + 1 is (are)

(A) −(2 + √3)

(B) 1 + √3

(C) 2 + √3  

(D) 4√3

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