If x = α and x = β satisfy the equations cosx + a cos x + b = 0, sin2 x + p sin x + q = 0 both, then the relation among a, b, p and q will be:

1
a2 + b2 = p2 + q2
2
a + p = b + q
3
2(b + q) = a2 + p2 - 2
4
b + q = a2 + p2 - q2

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