Number of solution(s) of equation `|x^(2)-1|=1/(x-1)`

Number of solution(s) of the equation 2tan^(-1)(2x-1)=cos^(-1)(x) is :

Number of solutions of the equations |2x^(2)+x-1|=|x^(2)+4x+1|

Number of solution of equation |1-|1-x^(2)||=5 is

Number of solutions of the equation 4x^(2)e^(-x)-1=0

The number of solution of the equation |x-x^(2)-1| = |2x -3-x^(2)| is (1) 0 (2) 1 (3) (4) Infinitely many

Number of real solution(s) of equation (2^(x)-1)x^(2)+(2^(x^(2))-2)x=2^(x)-1

Number of solution(s) of the equation f(x)=tan^(-1)x, is not correct

Number of real solution (s) of the equation |x^(2)+x+1|+|x-2|=5, is