BMSAT Kozhikode (QA) PYQs

The zeroes of $ax² + bx + c = 0$ are in the ratio $1:2$ (assume the coefficients to be non-zero). Which of these is one of the zeroes?

If one of the roots of the equation $x^2 + ax + 3a = 0$ is $1$, then its other root is

What is the condition for $x^2 + (a + b)x + ab$, with a and b non-zero, to have real roots?