Find the value of a which makes the expression `x^2-ax+1-2a^2` always positive for real values of x.

The values of a which make the expression x^2-ax +1-2a^2 always positive for real values of x are- A. -2/3 lt a lt 2/3 B. -2/3 le a le 2/3 C. -2/3 le a le 1 D. 0 lt a lt 2/3

The values of a for which the expression x^(2)-(3a-1)x+2a^(2)+2a-11 is always positive are given by:

The expression (a-2)x^(2)+2(2a-3)x+(5a-6) is positive for all real value of x, then

Find the values of x for which the expression x^(2)-(log_(5)2+log_(2)5)x+1 is always positive

Number of integral values of 'a for which the expression (x^(2)-ax+11)/(x^(2)-5x+4) can assume all real values is

Find the value of a in order that f(x)=sqrt(3)sin x-cos x-2ax+b decreases for all real values of x.

Find the values of a for which x^2-ax+1-2a^2ge0 for real values of x .

The value of 'a' for which the quadratic expression ax^(2)+|2a-3|x-6 is positive for exactly two integral values of x is