In triangle ABC , the point P divides BC internally in the ratio $3: 4$ and Q divides CA internally in the ratio $5: 3$. If AP and BQ intersect in a point $G$, then $G$ divides $A P$ internally in the ratio

The derivative of

$$ y=(1-x)(2-x) \ldots \ldots \ldots \ldots \ldots \ldots(\mathrm{n}-x) $$

at $x=1$ is

If $X \sim B(n, p)$ then $\frac{P(X=k)}{P(X=k-1)}=$

The differential equation of all straight lines passing through the point $(1,-1)$ is