JIPMAT 2022 (QA) PYQs

If the roots of the equation $x^{2}-p x+54=0$ are in the ratio $2: 3$, then value of $p$ is:

The graph of a polynomial $y = f(x)$ is shown in figure below, then the number of its zeros is:

If $\sin (\alpha)$ and $\cos (\alpha)$ are the roots of the equation $a x^{2}+b x+c=0$, then $b^{2}$ is