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)

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) .

Find the valuesof m for which exactly one root of the equation x^(2)-2mx+m^(2)-1=0 lies in the interval (-2,4)

Find the valuesof m for which exactly one root of the equation x^(2)-2mx+m^(2)-1=0 lies in the interval (-2,4)

Find the valuesof m for which exactly one root of the equation x^(2)-2mx+m^(2)-1=0 lies in the interval (-2,4)

Find the valuesof m for which exactly one root of the equation x^(2)-2mx+m^(2)-1=0 lies in the interval (-2,4)

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

Find all the values of 'a',so that exactly one root of the equation x^(2)-2ax+a^(2)-1=0 lies between the numbers 2 and 4, and no root of the equation is either equal to 2 or equal to 4.

Q.find all possible value of a for which exactly one root of x^(2)-(a+1)x+2a=0 lies in interval (0,3).