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

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 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

If one root of the equation x^(2)-(p+1)x+p^(2)+p-8=0 is greater than 2 and the other root is smaller than 2 then p is such that

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

The value of 'k' for which one root of the equation x^(2)-(k+1)x+k^(2)+k-8=0 exiceeds 2 and the other is less than 2, are given by:

Find interval of values of ' a ' for which one root of equation x^2+a^2(x+1)+(a-2)=0 is negative and the other root is positive

The set of real values of a for which the equation x^(2) = a(x+a) has its roots greater than a is