The exhaustive set of values of a for which inequation `(a -1)x^2- (a+1)x+ a -1>=0` is true `AA x >2` `(a) (-oo,1)` `(b)[7/3,oo)` `(c) [3/7,oo)` (d) none of these

The exhaustive set of values of a for which inequation -(a+1)x+a-1>=0 is true (a-1)x^(2)-(a+1)x+a-1>=0 is true AA x>2(a)(-oo,1)(b)[(7)/(3),oo)(c)[(3)/(7),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]]

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)

The values of x for which 1/(1+sqrt(x)), 1/(1-x), 1/(1-sqrt(x) are in A.P. lie in the interval (A) (0,oo) (B) (1,oo) (C) (0,1) (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

Complete solution set of the inequation (x^(2)-1)(x^(2)-6x+8)>=0 is x in[-1,1]uu[2,4]x in(-oo,-1)uu[1,2]uu[4,oo]x in[-1,2]uu[4,oo](d) none of these

The set of all values of a'a' for which the quadratic equation 3x^(2)+2(a^(2)-3a+2)=0 possess roots of opposite sign,is a.(-oo,1) b.(-oo,0) c.(1,2) d.(3/2,2)

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

The set of all values of x' which satisfies the inequation |1-(|x|)/(1+|x|)|>=(1)/(2) is: [-1,1] b.(-oo,-1] c.[1,oo) d.(0,1)

Solution set of inequality (cot^(-1)x)^(2)-5cot^(-1)x+6>0 is (A) (cot3,cot2)(B)(-oo,cot3)uu(cot2,oo)(C)(cot2,oo)(D) None of these