The points A(−4,3) and B(6,−5) are joined by a line segment. Point R divides AB internally in the ratio 1:2. A point P(k,1) is such that PR=5 units. (i) Show that the coordinates of R are (2,−1). (ii) Using the given condition, find the possible value(s) of k.
a. (i) Show that the coordinates of R are (2,−1).
b. (ii) Using the given condition PR=5, find the possible value(s) of k.