The Product Of Real Of The Equation                 is

a, b, c are length of sides of an scalene triangle. If equation

has real and distinct roots, then the value of λ is given by:

A quadratic equation with rational coefficients can have

If the roots of ax² + bx + c = 0 are in the ratio m: n then

For real x, the expression [(x + m)² – 4mn]/[2(x – n)] can be have any value except

If the expression y² + 2xy + 2x + my – 3 can be resolved into two rational factors, then m must be

If one root of the equation x² + px + 12 = 0 is 4, while the equation x² +px + q = 0 has equal roots, the value of q is

If x² + px + 1 is a factor of ax² + bx + c, then

If 8, 2 are the roots of x² + ax + β = 0 and 3, 3 are the roots of x² + α x+ b = 0 then the roots of x² + ax + b = 0 are

The number of real roots of 

Sum of the non – real roots of