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

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

Let S denote the set of all real values of a for which the roots of the equation x^(2) - 2ax + a^(2) - 1 = 0 lie between 5 and 10, then S equals

The value of a for which the equation (1-a^(2))x^(2)+2ax-1=0 has roots belonging to (0,1) is

If the range of the values of a for which the roots of the equation x ^(2) -2x - a ^(2) +1=0 lie between the roots of the equation x ^(2) -2 (a+1)x +a(a -1) =0 is (p,q), then find the value of (q- (1)/(p)).

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).

For what values of a exactly one root of the equation 2^(a)x^(2)-4^(a)+2^(a)-1=0 , lies between a and 2.

Set of values of 'a' for which both roots of the equation x^(2) - 2x - a^(2) = 0 lie between the roots of the equation x^(2) - 2x + a^(2) - 11a + 12 = 0 , is

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