The equation `|x+1||x-1|=a^(2) - 2a - 3` can have real solutions for x, if a belongs to

The equation abs(x+1) abs(x-1)=a^2-2a-3 can have real solutions for x if 'a' belongs to

The equation ||x-1|+a|=4 can have real solution for x if a belongs to the interval (-oo, m] then m is equal to

Statement I The equation |(x-2)+a|=4 can have four distinct real solutions for x if a belongs to the interval (-oo, 4) . Statemment II The number of point of intersection of the curve represent the solution of the equation.

Statement I The equation |(x-2)+a|=4 can have four distinct real solutions for x if a belongs to the interval (-oo, 4) . Statemment II The number of point of intersection of the curve represent the solution of the equation.

The equation ∣∣x−1∣+a∣=4 can have real solutions for x if a belongs to the interval.

Equation cos 2x + 7 = a (2-sin x) can have a real solution for :

Equation cos 2x+7=a(2-sin x) can have a real solution for

Equation cos 2x+7=a(2-sin x) can have a real solution for

The equation cos^(4)x-(lambda+2)cos^(2)x-(lambda+3)=0 have a real solution if

Does the equation [(x-2)^(2)+4]*[x+(1)/(x)]=81 have any real solution ?