The equation `4sin^2x + 4sinx + a^2-3 = 0` possesses a solution if 'a' belongs to the interval

The equation 4sin^(2)x+4sin x+a^(2)-3=0 possesses a solution if 'a' belongs to the interval

The equation "sin"^(4) x - (k +2)"sin"^(2) x - (k + 3) = 0 possesses a solution, if

The equation a sin x+cos2x=2a-7 possesses a solution if

If the equation sin theta(sin theta + 2 cos theta )=a has a real solution then a belongs to the interval

The equation |x-2|+a|=4 can have four distinct real solutions for x if a belongs to the interval (-oo,-4)(b)(-oo,0)(4,oo)(d) none of these

The equation cos3x=3a-4 possesses a solution if

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 solution for x if a belongs to the interval (-oo, m] then m is equal to