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

If the point (lambda,lambda+1) lies inside the region bounded by the curve x=sqrt(25-y^2) and y-a xi s , then lambda belongs to the interval (-1,3) (b) (-4,3) (c) (-oo,-4)uu(3,oo) (d) none of these

Find the values of a for which eht equation ||x-2|+a|=4 can have four distinct real solutions.

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 values of a for which the integral int_0^2|x-a|dxgeq1 is satisfied are (a) (2,oo) (b) (-oo,0) (c) (0,2) (d) none of these

If a!=0 and log_x (a^2+1)lt0 then x lies in the interval (A) (0,oo) (B) (0,1) (C) (0,a) (D) none of these

Given that f(x) > g(x) for all real x, and f(0)=g(0) . Then f(x) < g(x) for all x belong to (a) (0,oo) (b) (-oo,0) (c) (-oo,oo) (d) none of these

Consider the equation |x^2-2x- 3|=m .m belongs to R .If the given equation has four solutions, then m in (0,oo) b. m in (-1,3) c. m in (0,4) 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)