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.

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

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

If ln^(2)x+3ln x-4 is non negative,then x must lie in the interval: [e,oo) b.(-oo,e^(-4))uu[e,oo) c.(1/e,oo) 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

The values of a for which the integral int_(0)^(2)|x-a|dx>=1 is satisfied are (a) (2,oo) (b) (-oo,0)(c)(0,2)(d) none of these