If α, β be roots of x 2 – 3x + a = 0 and γ, δ are the roots of x 2 – 12x + b = 0 and α…

Mathematics · JEE Advanced · NTA ExamsProgression and Series

If α, β be roots of x2 – 3x + a = 0 and γ, δ are the roots of x2 – 12x + b = 0 and α, β, γ, δ (in order) form an increasing G.P., then
  1. a = 3, b = 12
  2. a = 12, b = 13
  3. a = 2, b = 32
  4. a = 4, b = 16

Answer

(C) a = 2, b = 32

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