Evaluate $\frac{0.53 \times 0.53 - 2 \times 0.53 \times 0.41 + 0.41 \times 0.41}{0.53 - 0.41}$

If $N = \frac{\sqrt{6} - \sqrt{5}}{\sqrt{6} + \sqrt{5}},$ then what is the value of $N + \frac{1}{N} ?$

$(0 . \overline{09} \times 7 . \overline{3})$ is equal to

If $m$ and $n$ are whole numbers such that $m^{n}=121$,then $(m-1)^{n+1}=?$

Along a yard $225 \ m$ long,$26$ trees are planted at equal distances,with one tree at each end of the yard. What is the distance between two consecutive trees in meters?

If $\frac{x}{y} = \frac{4}{5}$,then the value of $\left(\frac{4}{7} + \frac{2y - x}{2y + x}\right)$ is