Question

Let A₁ and A₂ be two arithmetic means and G₁, G₂, G₃ be three geometric means of two distinct positive numbers. Then $ G_{1}^{4} + G_{2}^{4}+ G_{3}^{4} +G_{1}^{2}G_{3}^{2} $ is equal to

• A. 2(A₁ + A₂) G₁G₃
• B. (A₁ + A₂) $ G_{1}^{2}G_{3}^{2} $
• C. (A₁ + A₂)² G₁G₃
• D. 2(A₁ + A₂) $ G_{1}^{2}G_{3}^{2} $

Answer 1

The Correct Option is C

The correct option is(C): (A₁ + A₂)² G₁G₃