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.

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

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 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

The values of lamda for which one root of the equation x^2+(1-2lamda)x+(lamda^2-lamda-2)=0 is greater than 3 and the other smaller than 2 are given by

The values of lamda for which one root of the equation x^2+(1-2lamda)x+(lamda^2-lamda-2)=0 is greater than 3 and the other smaller than 2 are given by

Find all values of a for which atleast one of the roots of the equation x^(2)-(a-3)x+a=0 is greater than 2

Find the value of k for which one root of the equation of x^(2)-(k+1)x+k^(2)+k-8=0 exceed 2 and other is smaller than 2.