The number of atoms in $0.1 \ mol$ of a triatomic gas is $(N_A = 6.02 \times 10^{23} \ mol^{-1})$

The area (in square units) of the triangle formed by $x+y+1=0$ and the pair of straight lines $x^2-3xy+2y^2=0$ is

If $\alpha, \beta, \gamma$ are the roots of the equation $x^3-6x^2+11x-6=0$ and if $a=\alpha^2+\beta^2+\gamma^2$,$b=\alpha\beta+\beta\gamma+\gamma\alpha$ and $c=(\alpha+\beta)(\beta+\gamma)(\gamma+\alpha)$,then the correct inequality among the following is

Which one of the following salts gives an acidic solution in water?

Among the following,the compound that is both paramagnetic and coloured is

If $x = \log_{5}(1000)$ and $y = \log_{7}(2058)$,then: