Math, asked by hemanttkumarh, 1 month ago

If `f(x)=(x-a)(x-b)` for `a,binR.` Then, the minimum number of roots of equation `pi(f'(x))^(2)cos(pif(x))+sin(pif(x))f''(x)=0` in `(alpha,beta),` where `f(alpha)=3=f(beta)`, is ____ (where `alpha gt a gt b gt beta`)

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