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in Co-ordinate geometry by (15 points)

Let the normal at (2cosα,sinα) to the ellipse x^2+4y^2=4 intersects the ellipse again at (2cosβ,sinβ)(α,β∈R). If sinβ=−sinα(a+bsin2α)  / ( c+dsin2α) in simplest form, then the value of (a+b-c-d) is equal to (a,b,c,d∈I)

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