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Question

For what relation between a and b is the equation $$sin θ =\frac{a+b}{2\sqrt{ab}}$$ possible?

  1. a = b
  2. a ≤ b
  3. a ≥ b
  4. a > b
Answer

Let a = b,

$$Sin θ=\frac{2a}{2a}=1$$

Sin θ = 1   (which is possible)

So, a = b

Answer(A) → a = b