If the root of the equation `(a-1)(x^2-x+1)^2=(a+1)(x^4+x^2+1)` are real and distinct, then the value of `a in ` a.`(-oo,3]` b. `(-oo,-2)uu(2,oo)` c. `[-2,2]` d. `[-3,oo)`

If the solution of the equation (x^(4)-9)-(x^(2)+3)|=[x^(4)-9|-|x^(2)+3| is (-oo,p]uu[q,oo) then

For x^(2)-(a+3)|x|+4=0 to have real solution,the range of a is (-oo,-7]uu[1,oo) b.(-3,oo) c.(-oo,-7)d*[1,oo)

If solution of the equation |(x)/(x-1)|+|x|=(x^(2))/(|x-1|) is (a,oo)uu{b} then 3a+b is

[ (d) ak^(2)+2bk+cgt0 (4) If both the roots of the quadratic equation x^(2)-4ax+2a^(2)-3a+5 are less than 2, then a lies in the set (a) (9/2,oo) (b) (-oo,9/2) (c) (-1,oo) (d) (2,oo)]

If the difference between the roots of the equation x^2+""a x""+""1""=""0 is less than sqrt(5) , then the set of possible values of a is (1) (-3,""3) (2) (-3,oo) (3) (3,oo) (4) (-oo,-3)

If alpha,beta are the roots of the quadratic equation (p^(2)+p+1)x^(2)+(p-1)x+p^(2)=0 such that unity lies between the roots then the set of values of p is (i) 0 (ii) p in(-oo,-1)uu(0,oo)( iii) p in(-1,oo) (iv) (-1,1)

If the equation ((x)/(1+x^(2)))^(2)+a((x)/(1+x^(2)))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/(2),0) (b) (oo,-(13)/(2))((-13)/(2),(13)/(2))(d)((13)/(2),oo)

For x^(2)-(a+3)|x|=4=0 to have real solutions,the range of a is (-oo,-7]uu[1,oo)(-3,oo)(-oo,-7][1,oo)

The range of a for which the equation x^(2)+ax-4=0 has its smaller root in the interval (-1,2)is(-oo,-3) b.(0,3) c.(0,oo) d.(-oo,-3)uu(0,oo)

All the values of m does the equation mx^(2)-(m+1)x+2m-1=0 passes no real root is (-oo,a)uu(b,oo) ,then a+b is