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MHT CET202012 Oct 2020Evening ShiftMathematicsTrigonometric EquationsActual

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

Options

  1. Ax=n + 2 , n Z
  2. Bx=n ( 2 )+ , n Z
  3. Cx=n ( 2 )+ 3 , n Z
  4. Dx=(2 n+1) , n Z

Correct answer

A. x=n + 2 , n Z

Step-by-step solution

Given ² x- 2 x=2- 2 x ² x-1+2 ² x=2- 2 x [ 2 =1-2 ² ]3 ² x =3- 2 x 2 x=3 (1- ² x )2 x x=3 ² x x(3 x-2 x)=0 x=0 or 3 x=2 x But 3 x 2 x as per condition given x =0 x = n + 2 , n Z

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