Read the following information carefully and answer the questions given below.

Let $$\alpha$$ and $$\beta$$ ($$\alpha$$ < $$\beta$$) be the roots of the equation x² + bx + c = 0, where b > 0 and c < 0.

Consider the following

1. $$\alpha$$ + $$\beta$$ + $$\alpha$$$$\beta$$ > 0

2. $$\alpha$$²$$\beta$$ + $$\beta$$²$$\alpha$$ > 0

Which of the above is/are correct?

If x² $$-$$ px + 4 > 0 for all real values of x, then which one of the following is correct?

If one root of the equation (l $$-$$ m) x² + lx + 1 = 0 is double the other and l is real, then what is the greatest value of m?

The roots of the equation $$(q - r){x^2} + (r - p)x + (p - q) = 0$$ are