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KCET2026MathematicsTrigonometric Ratios & Identities

The maximum value of (x + 6 ) + (x + 6 ) is attained at x =

Options

  1. A2
  2. B4
  3. C6
  4. D12

Correct answer

D. 12

Step-by-step solution

Let f(x) = (x + 6 ) + (x + 6 ) Multiplying and dividing by 2 : f(x) = 2 [ 1 2 (x + 6 ) + 1 2 (x + 6 ) ] f(x) = 2 [ 4 (x + 6 ) + 4 (x + 6 ) ] f(x) = 2 (x + 6 + 4 ) f(x) = 2 (x + 5 12 ) The maximum value of f(x) is attained when (x + 5 12 ) = 1 x + 5 12 = 2 x = 2 - 5 12 = 6 - 5 12 = 12 Answer: 12

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