If alpha is the common positive root of ...

If `alpha` is the common positive root of the equation `x^2-ax+12=0, x^2-bx+15=0` and `x^2-(a+b)x+36=0` and `cosx+cos2x+cos3x=alpha,` then `sinx+sin2x+sin3x=` (A) 3 (B) -3 (C) 0 (D) none of these

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