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

Find the set of all values of a for which the roots of the equation x^2-2ax + a^2 + a-3=0 are less than 3,

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

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

The number of real roots of the equation x^2tanx=1 lies between 0 and 2pi is/are (A) 1 (B) 2 (C) 3 (D) 4

The value of a for which exactly one root of the equation e^ax^2 - e^(2a)x + e^a -1 lies between 1 and 2 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 set of all values of m for which both the roots of the equation x^2-(m+1)x+m+4=0 are real and negative is (a) (-oo,-3]uu[5,oo) (b) [-3,5] (c) (-4,-3] (d) (-3,-1]

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 set of value of a for which both the roots of the equation x^2-(2a-1)x+a=0 are positie is (A) {(2-sqrt(3))/2} (B) {(2-sqrt(3))/2,(2+sqrt(3))/2} (C) [(2+sqrt(3)/2,oo) (D) none of these

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