Chapter: Co-ordinate Geometry· Mathematics Part 2 (Geometry)
Answer: k = 2
Slope \(= \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{9 - 3}{5 - k} = \dfrac{6}{5 - k}\).
Given slope = 2, so \(\dfrac{6}{5 - k} = 2\) \(\therefore 6 = 10 - 2k\) \(\therefore 2k = 4\) \(\therefore k = 2\).