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)

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

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 and a are real numbers such that a>0 and |x|>a, then x in(-a,oo) b.x in[-oo,a) c.x in(-a,a) d.x in(-oo,-a)uu(a,oo)

The set of all values of a for which both roots of equation x^2-ax+1=0 are less than unity is (A) (-oo,-2) (B) (-2,oo) (C) (-2,3) (D) (-oo,-1)

If |x-2| (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]

Set of value of m for which a chord of slope m of the circle x^(2)+y^(2)=4 touches parabola y^(2)=4x is (A)(-oo,-sqrt((sqrt(2)-1)/(2))]uu[sqrt((sqrt(2)-1)/(2)),oo)(B)(-oo,-1)uu(1,oo)(C)(-1,1)(D)(-oo,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)

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)