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MHT CET202410 May 2024Morning ShiftMathematicsTrigonometric EquationsActual

If for certain x, 3 x 2 x , then the general solution of, ^2 x- 2 x=2- 2 x , is

Options

  1. A(2 n +1) 2 , n Z
  2. B(2 n +1) 4 , n Z
  3. Cn +(-1)^ n 3 , n Z
  4. Dn 2 +1, n Z

Correct answer

A. (2 n +1) 2 , n Z

Step-by-step solution

Given, aligned & ^2 x- 2 x=2- 2 x & 1- ^2 x- (2 ^2 x-1 )-2+ 2 x=0 & 1-3 ^2 x+1-2+2 x x & x(2 x-3 x)=0 & x=0 or 2 x-3 x=0 aligned But 2 x 3 x ...[Given] aligned & x=0 & x=(2 n +1) 2 , n Z aligned

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