D$10\mathrm{.}6.$ A load $Z_L=80-j100$ is located at $z=0$ on a lossless $50-$ line. The operating frequency is $200$ MHz $,$ and the wavelength on the line is $2$ m $.($a$)$ If the line is $0\mathrm{.}8$ m in length, use the Smith chart to find the input impedance. $($b$)$ What is $s?($c$)$ What is the distance from the load to the nearest voltage maximum? $($d$)$ What is the distance from the input to the nearest point at which the remainder of the line could be replaced by a pure resistance?

please solve $($c$)$ and $($d$)$ with smith chart. And show your steps and smith chart. Also, check the answer is correct. In my case I have the answer of $($c$)$ is $0\mathrm{.}9$m$.$ Please check your answer. And can you explain in detail about $($d$).$ Thank you!

Ans. $($a$)79+j99$ : $($b$)4\mathrm{.}50$; $($c$)0\mathrm{.}0397$ m ; $($d$)0\mathrm{.}760$ m