$A$ feasible solution to an $LP$ problem,

If $\sin 6 \theta + \sin 4 \theta + \sin 2 \theta = 0$, then the general value of $\theta$ is

If $\tan ^{-1} a+\tan ^{-1} b+\tan ^{-1} c=\pi$,then which of the following statements is true?

If $\frac{1}{x(x^2 + 1)} = \frac{A}{x} + \frac{Bx + C}{x^2 + 1}$,then $(A, B, C) = $

Which of the following plants is known for its hallucinogenic properties?

$A$ particle of mass $m$ and charge $q$ is in an electric and magnetic field,given by $\vec{E} = 2 \hat{i} + 3 \hat{j}$ and $\vec{B} = 4 \hat{j} + 6 \hat{k}$. The charged particle is shifted from the origin to the point $P(1, 1)$ along a straight path. The magnitude of the total work done on it is: (in $q$)