If α , β are the roots of x 2 − 3 x + a = 0 and γ , δ are the roots of x 2 − 12 x + b = 0 and α , β , γ , δ in that order form a geometric progression in increasing order with common ratio r 1 , then a + b =

Question

If α , β are the roots of x 2 − 3 x + a = 0 and γ , δ are the roots of x 2 − 12 x + b = 0 and α , β , γ , δ in that order form a geometric progression in increasing order with common ratio r > 1 , then a + b =, 16, 28, 34, 42

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