NDA2015MathematicsInverse Trigonometric FunctionsActual
The equation ⁻¹(1+x)+ ⁻¹(1-x)= 2 is satisfied by
Options
- Ax=1
- Bx=-1
- Cx =0
- Dx= 1 2
Correct answer
C. x =0
Step-by-step solution
aligned & ⁻¹(1+x)+ ⁻¹(1-x)= 2 & ⁻¹ [ (1+x)+(1-x) 1-(1+x)(1-x) ]= 2 aligned array ll & 1+x+1-x 1-(1+x)(1-x) = 2 & 2 1-(1+x)(1-x) = 1 0 & 1-(1+x)(1-x)=0 & (1+x)(1-x)=1 & 1-x^2=1 & x^2=0 & x=0 array Option (C) is correct.