It is observed that $25 \%$ of the cases related to child labour reported to the police station are solved. If 6 new cases are reported, then the probability that atleast 5 of them will be solved is

For a GP, if $S_n=\frac{4^n-3^n}{3^n}$, then $t_2=$ ...........

The area of the region bounded by the curve $y=2 x-x^2$ and the line $y=x$ is ........... units. square

The general solution of $x \frac{d y}{d x}=y-x \tan \left(\frac{y}{x}\right)$ is .............