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.

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

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

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.

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]

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 ' 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)