99 Percentile Qs Bank for JEE MainMathematicsTrigonometric Equations
The general solutions of ² x x= x- x+1 is
Options
- Ax=n +(-1)^ n 4 or x=m + 3 4 ; m, n z
- Bx=n +(-1)^ n 2 or x=m + 3 4 ; m, n z
- Cx=n +(-1)^ n 2 or x=m + 5 4 ; m, n z
- Dx=n +(-1)^ n 4 or x=m + 5 4 ; m, n z
Correct answer
B. x=n +(-1)^ n 2 or x=m + 3 4 ; m, n z
Step-by-step solution
(B) ² x x= x- x+1 x x x = x x - x+1 x x= x- x x+ x x( x+ x)= x+ x x( x+ x)-( x+ x)=0 ( x+ x)( x-1)=0 x+ x=0 or x=1 x=-1 x= + 3 4 or x=n +(-1)^ n 2 m , n Z