If `|x-2|<=2x^(2)-9x+9` ,then
(A) `x in R ,` (B) `x in[0,oo)] ,`(C)` x in(-oo,(4-sqrt(2))/(2)]uu[(5)/(2),oo),` (D) `x in(-oo,(4-sqrt(2))/(2)]uu[(5+sqrt(3))/(2),oo]` `x in R`

Let f:R rarr(0,(pi)/(2)) be a function defined by f(x)=cot^(-1)(x^(2)+4x+alpha^(2)-alpha), complete set of valuesof alpha for which f(x) is onto,is (A) [(1-sqrt(17))/(2),(1+sqrt(17))/(2)] (B) (-oo,(1-sqrt(17))/(2)]uu[(1+sqrt(17))/(2),oo)(C)((1-sqrt(17))/(2),(1+sqrt(17))/(2))( D) none of these

If |x-1|>5, then x in(-4,6) b.x in[-4,6] c.x in(-oo,-4)uu(6,oo) d.x in(-oo,-4)uu[6,oo)

If (|x-2|)/(x-2)geq0, then x in [2,oo) b. x in (2,oo) c. x in (-oo,2) d. x in (-oo,2]

If |x+2|lt=9 then x in (-7, 11) b. x in [-11 ,7] c. x in (-oo,7)uu(11 ,oo) d. x in (-oo,-7)uu[11 ,oo)

If two chords drawn from the point A(4,4) to the parabola x^(2)=4y are bisected by the line y=mx, the interval in which m lies is (a) (-2sqrt(2),2sqrt(2))( b) (-oo,-sqrt(2))uu(sqrt(2),oo)(c)(-oo,-2sqrt(2)-2)uu(2sqrt(2)-2,oo)(d) none of these

If |x+3|>=10, then x in(-13,7] b.x in(-oo,-13)uu(7,oo) c.x in(-13,7) d.x in(-oo,-13]uu[7,oo)

The set of all real numbers x for which x^(2)-|x+2|+x>0 is (-oo,-2) b.(-oo,-sqrt(2))uu(sqrt(2),oo) c.(-oo,-1)uu(1,oo) d.(sqrt(2),oo)

The set of all real numbers x for which x^2-|x+2|+x >0 is (a)(-oo,-2)uu(2,oo) (b) (-oo,-sqrt(2))uu(sqrt(2),oo) (c)(-oo,-1)uu(1,oo) (d) (sqrt(2),oo)

Solution set of the inequation (x^(2)+4x+4)/(2x^(2)-x-1)>0, is x in(-oo,-2)uu(-2,1)x in(-oo,-2)uu(-2,-(1)/(2))uu(1,oo)x in(-oo,-2)uu(-(1)/(2),1)uu(1,oo)x in(-oo,1)

The set of values of a for which x^2+ax+sin^-1 (x^2-4x+5) +cos^-1 (x^2-4x+5)=0 has at least one solution is (A) (-oo, -sqrt(2pi)] cup[sqrt[(2pi, oo] (B) (-oo, -sqrt(2pi)] cup[sqrt((2pi, oo) (C) R (D) none of these