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BITSAT2016MathematicsTrigonometric EquationsActual

If ( x)= ( x) , then 2 x is equal to:

Options

  1. A2 (2 n+1)
  2. B4 (2 n+1)
  3. C2 n(n+1)
  4. D4 n(n+1)

Correct answer

B. 4 (2 n+1)

Step-by-step solution

Given, ( x)= ( x)= ( 2 - x ) x=n + 2 - x x+ x=n + 2 1 x x =n + 2 1 2 x = n 2 + 4 2 x= 1 n 2 + 4 = 4 (2 n+1)

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