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 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)

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.

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 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

The values of a for which one root of the equation, x^(2)+(2a+1)x+(a-2)=0 is greater than 1 and the other root less than zero, is

If the roots of equation (a+1)x^(2)-3ax+4a=0 (a is not equals to -1 ) are greater than unity,then

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

If bgta then show that the equation (x-a)(x-b)-1=0 has one root less than a and other root greater than b.

[ 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]]