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)`

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)

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

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)

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)

Q.The set of all the solutions of the inequality log_(1-x)(x-2)>=-1 is (A)(-oo,0)(B)(2,oo)(C)(-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]

f(x)=(x-2)|x-3| is monotonically increasing in (a)(-oo,(5)/(2))uu(3,oo)(b)((5)/(2),oo)(c)(2,oo)(d)(-oo,3)

The solution set of the inequality max {1-x^(2),|x-1|}<1 is (-oo,0)uu(1,oo) (b) (-oo,0)uu(2,oo)(0,2)(d)(0,2)

The set of points where the function f(x)=x|x| is differentiable is (a)(-oo,oo) (b) (-oo,0)uu(0,oo)(c)(0,oo)(d)[0,oo]

[ Suppose a in R .The set of values of a for which the quadratic equation x^(2)-2(a+1)x+a^(2)-4a+3=0 has two negative roots is [ (a) (-oo,-1), (b) (1,3) (c) (-oo,1)uu(3,oo), (d) phi]]