The general solution of $$\sin ^{-1}\left(\frac{d y}{d x}\right)=x+y$$ is

If $$A=\left[\begin{array}{lll}1 & 0 & 1 \\ 0 & 2 & 3 \\ 1 & 2 & 1\end{array}\right]$$, then the value of determinant of $$A^{-1}$$ is

Solution of the differential equation $$\mathrm{y'=\frac{(x^2+y^2)}{xy}}$$, where y(1) = $$-$$2 is given by

The Cartesian equation of a line is $$3 x+1=6 y-2=1-z$$, then its vector equation is