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

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

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 ||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 quadratic equation (a+3)x^(2)-ax+1=0 has two distinct real solutions a) for a in(-2,6) b) for a in(-oo,0)uu(7,oo) c) for a in(-oo,-2)uu(6,oo)-{-3} d) for a in(0,7)

The equation cos^8x+bcos^4x+1=0 will have a solution if b belongs to (A) (-oo,2] (B) [2,oo] (C) [-oo,-2] (D) none of these

The equation cos^8x+bcos^4x+1=0 will have a solution if b belongs to (A) (-oo,2] (B) [2,oo] (C) [-oo,-2] (D) none of these

The function f(x)=cot^(-1)x+x increases in the interval (a)(1,oo)(b)(-1,oo)(c)(-oo,oo)(d)(0,oo)