The number of solutions of the equation ...

The number of solutions of the equation `cos2x sin6x=cos3x sin5x` in the interval `[0,pi]` is/are equal to 'a'
(A) 'a' is prime number
(B) `y=|x-1|+|x-2|+....+|x-(a+4)|` then `y_(min)=20`
(C) 'a' lies in the range of `y=x^(2)+(1)/(x^(2)+1)`
(D) `x^(3)=a+x^(2)` has `3` real roots

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