99 Percentile Qs Bank for JEE MainMathematicsTrigonometric Equations
If 3 x 2 x , then the general solution of ² x- 2 x=2- 2 x is
Options
- Ax=n + 2 , n Z
- Bx=n ( 2 )+ , n Z
- Cx=n ( 2 )+ 3 , n Z
- 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