If x = α and x = β satisfy the equations cos2 x + a cos x + b = 0, sin2 x + p sin x + q = 0 both, then the relation among a, b, p and q will be:

• A. a2 + b2 = p2 + q2
• B. a + p = b + q
• C. 2(b + q) = a2 + p2 - 2
• D. b + q = a2 + p2 - q2