Which of the following is not a peroxo acid?

$A$ vector $\vec{a}$ has components $2p$ and $1$ with respect to a two-dimensional rectangular Cartesian system. This system is rotated through a certain angle $\theta$ about the origin in the counter-clockwise direction. If $\vec{a}$ has components $p+1$ and $1$ with respect to the new system,then:

$\int (1+x-x^{-1}) e^{x+x^{-1}} dx$ is equal to :

Which of the following vitamins is water-soluble?

Which domain includes well-known pathogenic organisms?

If the point $P(\alpha, \beta, \gamma)$ lies on the plane $2x+y+z=1$ and $[\alpha \ \beta \ \gamma] \begin{bmatrix} 1 & 9 & 1 \\ 8 & 2 & 1 \\ 7 & 3 & 1 \end{bmatrix} = [0 \ 0 \ 0]$,then $\alpha^2+\beta^2+\gamma^2=$