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If alpha, beta are the roots of the quad...

If `alpha, beta` are the roots of the quadratic equation `x^2 + 2(1 - cos 3theta) x - 2 sin^2 3theta = 0 (theta epsilon R),` then the maximum value of `alpha^2 +beta^2` is equal to (i)`0` (ii)`4` (iii)`8` (iv) `16`

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