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MHT CET202411 May 2024Evening ShiftMathematicsTrigonometric EquationsActual

The general solution of x+ x=1 is

Options

  1. Ax=2 n , n Z
  2. Bx=2 n + 2 , n Z
  3. Cx= n +(-1)^ n 4 - 4 , n Z
  4. Dnot existing

Correct answer

C. x= n +(-1)^ n 4 - 4 , n Z

Step-by-step solution

aligned & x+ x=1 & 2 [ x 2 + x 2 ]=1 aligned aligned & x 45^ + x 45^ = 1 2 & (x+ 4 )= (n +(-1)^n 4 ) aligned Hence aligned & x + 4 = n +(-1)^ n 4 & x = n +(-1)^ n 4 - 4 aligned

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