If [x] denotes the integral part of x an...

If `[x]` denotes the integral part of x and `k=sin^-1 ((1+t^2)/(2t))gt0` then integral valueof `alpha` for which the equation `(x-[k])(x+alpha)-1=0` has integral roots is (A) `1 (B) 2 (C) 4` (D) none of these

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