If All The Roots Of x3 + px + q = 0 p, q Ïµ R q ≠ 0 Are Real, Then

If the harmonic mean between roots of   is 4 then b equals

In a triangle PQR, ∠R = π/4. If tan (P/3) and tan (Q/3) are the roots of the equation ax ² + bx + c = 0, then

If a ≤ 0, the number of real roots of

Let (a₁, a₂, a₃, a₄, a₅) denote a rearrangement of (3, – 5, 7 4, – 9),

then the equation

If three distinct real number a, b and c satisfy

Where p Ïµ R, then value of b c + ca + a b is

The number of integral roots of the equation 

is

The product of roots of 

Let S denote the set of all values of the parameter a for which

has no solution, then S equals

The number of roots of the equation 

Let S denote the set of all real value of q for which the roots of the equation

                          x² – 2ax + a² – 1 = 0          ...(1)

lie between 5 and 10, then S equals