Largest integral value of 'a' for which the expression `y = x^2 + ax + (a-3)` is non positive `x in [0,1]` is

The least integral value of ' m ' for which the expression m x^2-4x+3m+1 is positive for every x in R is: 1 b. -2 c. -1 d. 2

Largest integral value of m for which the quadratic expression y=x^(2)+(2m+6)x+4m+12 is always positive AA x in R is

The least integral value of 'm' for which the expression mx^(2)-4x+3m+1 is positive for every x in R is: 1 b.-2 c.-1 d.2

The least integral value of lambda for which the expression (lambdax^(2)-4x+3lambda+1) is positive for all x in R,is

The least integral value of lambda for which the expression (lambdax^(2)-4x+3lambda+1) is positive for all x in R,is

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

If x and a are real, then the value of a for which the expression x^(2)-(3a)/(2)x+1-a^(2) is positive, is

The number of integral values of alpha for which the quadratic expression alpha x^(2)+|2 alpha-3|x-6 is positive for exactly two integral values of x is equal to

The number of integral values of m for which the quadratic expression (1 + 2m)x^(2) - 2(1 + 3m)x + 4(1 + m), x in R , is always positive is

The number of integral values of m for which the quadratic expression (1 + 2m)x^(2) - 2(1 + 3m)x + 4(1 + m), x in R , is always positive is