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 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

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]

The set off 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 (-oo,-3]uu[5,oo)(b)[-3,5] (c) (-4,-3](d)(-3,-1]

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

[ 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]]

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 complete set of values of a so that equation sin^(4)x+a sin^(2)x+4=0 has at least one real root is (A)(-oo,-5] (B) (-oo,4]uu[4,oo)(C)(-oo,-4](D)[4,oo)

The set of all values of a'a' for which the quadratic equation 3x^(2)+2(a^(2)-3a+2)=0 possess roots of opposite sign,is a.(-oo,1) b.(-oo,0) c.(1,2) d.(3/2,2)