Which of the following is not an antibiotic?

The solution of the differential equation $\frac{dy}{dx} = \frac{xy+y}{xy+x}$ is

For a binomial variate $X$ with $n=6$, if $P(X=2)=9 P(X=4)$, then its variance is

Two ions of masses $4 \ amu$ and $16 \ amu$ have charges $+2 e$ and $+3 e$ respectively. These ions pass through a region of constant perpendicular magnetic field. If the kinetic energy of both ions is the same,then:

If $\bar{a}, \bar{b}, \bar{c}$ are mutually perpendicular vectors having magnitudes $1, 2, 3$ respectively,then $[\bar{a}+\bar{b}+\bar{c} \quad \bar{b}-\bar{a} \quad \bar{c}] = $

Product $(A)$ is