If The Expression y2 + 2xy + 2x + my – 3 Can Be Resolved Into Two Rational Factors, Then m must Be

If x² – 4x + log_1/2 a does not have two distinct roots, then the maximum value of a

If the roots of the equation bx² + cx + a = 0 be expression, then for all real values of x, the expression 3b² x² + 6bcx + 2c² is

If , for all x Ïµ R, then

If x is real, the maximum value of  is:

If the roots the equation ax² + bx + c = are real and of opposite sign then the roots of the equation α (x – β)² + β (x – α)² = 0 are

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 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