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

[ 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]]

Find the set of values of a for which the equation |x-1|^2+(a-1)|x-1|+1=0 has a solution, [2,5] b. [-3,-1] c. [0,oo) d. (-oo,-1]

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 (log)_(0. 3)(x-1) (a) (2,oo) (b) (1,2) (c) (-2,-1) (d) None of these

Complete solution set of the inequation (x^2-1)(x^2-6x+8)geq0 is (a) x in [-1,1]uu[2,4] (b) x in (-oo,-1)uu[1,2]uu[4,oo] (c) x in [-1,2]uu[4,oo] (d) none of these

The set of all values of ' x ' which satisfies the inequation |1-(|x|)/(1+|x|)|geq1/2 is: [-1,1] (b) (-oo,-1) (1,oo) (d) (0,1)

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 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 exhaustive set of values of a such that, x^2+a x+sin^(-1)(x^2-4x+5)+cos^(-1)(x^2-4x+5)=0 (A) {-2-pi/4} (B) {-oo,-2-pi/4} (C) {-oo,-2-pi/4} (D) none of these

The exhaustive set of values of a such that, x^2+a x+sin^(-1)(x^2-4x+5)+cos^(-1)(x^2-4x+5)=0 (A) {-2-pi/4} (B) {-oo,-2-pi/4} (C) {-oo,-2-pi/4} (D) none of these