Find the values of `m` for which roots of equation `x^(2)-mx+1=0` are less than unity.

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

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

Find the values of a for which one root of equation (a-5)x^(2)-2ax+a-4=0 is smaller than 1 and the other greater than 2.

Consider the quadratic equation x^2-mx+1=0 with two roots alpha and beta such that alpha + beta =m and alpha beta =1 The value of m for which both the roots of the equation are less than unity are (A) ]-oo,-2] (B) [-2,2] (C) [2,oo] (D) ]-oo,-2]cup[2,oo]

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)

All the values of m for whilch both the roots of the equation x^(2)-2mx+m^(2)-1=0 are greater than -2 but less than 4 lie in the interval -2 3 c.-1

The value of m for which the roots of the equation x^(2)+(m-2)x+m+2=0 are in the ratio 2:3 is

Consider the quadratic equation x^2-mx+1=0 with two roots alpha and beta such that alpha + beta =m and alpha beta =1 The value of m for which both the roots of the equation are greater then unity re (A) [2,oo] (B) ]--oo,2] (C) [-2,2] (D) none of these