If point `(a ,a)` lies in between the lines `|x+y|=6` , then `' a '` may satisfy ([.] denotes G.I.F.)
(a) `[a]=[pi]`
(b) `[a]=[e]`
(c) `a in (4,oo)`
(d) `a in [-oo,-3]`

If a point (a,2) lies between the lines x-y-1=0 and 2(x-y)-5=0, then the set of values of a is (A) (-oo,3)uu((9)/(2),oo) (B) (3,(9)/(2)) (B) (-oo,3) (D) ((9)/(2),oo)

If the point (1,a) lies in between the lines x+y=1 and 2(x+y)=3 then a lies in (i)(-oo,0)uu(1,oo)(ii)(0,(1)/(2))(iii)(-oo,0)uu((1)/(2),oo)(iv) none of these

e^(2x)-(a-1)e^x-ageq0AAx in R , then values of a which satisfy are. (a) a in (-oo,0) (b) a in (-oo,0] (c) a in R (d) a in (-oo,2]

If the range of f(x) =cos^(-1)[5x] is {a, b,c} and a+b+c = (lambda pi)/(2) , then lambda is equal to ([.] denotes G.I.F.)

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

A region in the x-y plane is bounded by the curve y=sqrt(25-x^(2)) and the line y=0. If the point (a,a+1) lies in the interior of the region,then a in(-4,3)( b) a in(-oo,-1)in(3,oo)a in(-1,3)(d) none of these

If the point (2,k) lies outside the circles x^(2)+y^(2)+x-2y-14=0andx^(2)+y^(2)=13 then k lies in the interval (-3,-2)uu(3,4)(b)(-3,4) (c) (-oo,-3)uu(4,oo)(d)(-oo-2)uu(3,oo)

If the function f(x)=x^(2)-kx+5 is increasing on [2,4], then (a) k in(2,oo)(b)k in(-oo,2)(c)k in(4,oo)(d)k in(-oo,4)

The value of int_(3(pi)/4)^(pi)[sinx+[(4x)/pi]]dx where [.] denotes G.I.F.

Let f(x)=sqrt(|x|-{x})(w h e r e{dot} denotes the fractional part of (x)a n dX , Y are its domain and range, respectively). Then (a) X in (-oo,1/2) and Y in (1/2,oo) (b)X in (-oo in ,1/2)uu[0,oo)a n dY in (1/2,oo) (c)X in (-oo,-1/2)uu[0,oo)a n dY in [0,oo) (d) none of these