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AP EAMCET2009MathematicsTrigonometric Equations

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

Options

  1. An +(-1)^n 2 , n Z
  2. Bn 2 , n Z
  3. C(4 n 1) 2 , n Z
  4. D(2 n-1) , n Z

Correct answer

C. (4 n 1) 2 , n Z

Step-by-step solution

gathered ^2 x- 2 x=2- 2 x 1- ^2 x- (2 ^2 x-1 ) =2-2 x x -3 ^2 x+2 x x=0 x(2 x-3 x)=0 x=0, ( 2 x-3 x 0) x=2 n 2 x=(4 n 1) 2 gathered

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