Lossless line is terminated in a load impedance ZL = (30 - j20)?

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A 50-?lossless line is terminated in a load impedance ZL = (30 - j20)?. (a) Calculate ?and S. (b) It has been proposed that by placing an appropriately selected resistor across the line at a distance l max from the load (as shown in the figure below), where l max is the distance from the load of a voltage maximum, then it is possible to render Zi = Z0, thereby eliminating reflections back to the sending end. Show that the proposed approach is valid and find the value of the shunt resistance. http://questions.transtutors.com/Transtutors001/Images/Transtutors001_c8fe97df-8c63-4168-bca8-1ba0ed8ba499.PNG