The set of all values of a for which both roots of equation `x^2-2ax+a^2-1=0` lies between -2 and 4 is (A) `(-1,2)` (B) `(1,3)` (C) `(-1,3)` (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)

The set of all value of a for which one root of equation x^2-ax+1=0 is less than unity and other greater than unity (A) (-oo,2) (B) (2,oo) (C) (1,oo) (D) none of these

The set of values of 'a' for which 1 lies between the roots of x^(2)-ax-a+3=0 is

The values of a for which both the roots of the equation (1-a^(2))x^(2)+2ax-1=0 lie between 0 and 1 are given by

Find all values of 'a' for which exactly one root of equation x^(2)+3ax+a+1=0 lies in (0, 1) or (3,4)

If both roots of the equation x^(2)-2ax+a^(2)-1=0 lie between (-2,2) then a lies in the interval

Find all the values of 'a' for which both the roots of the equation (a-2)x^(2)-2ax+a=0 lies in the interval (-2,1).

The value of a for which both the roots of the equation (1-a^(2))x^(2)+2ax-1=0 lie between 0 and 1, will always be greater than

The value of a for which exactly one root of the equation e^(a)x^(2)-e^(2a)x+e^(a)-1=0 lies between 1 and 2 are given by

[ 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]]