Question

Answer the following question:

Find the value of k the points A(1, 3), B(4, 1), C(3, k) are collinear

Answer 1

Given, points A(1, 3), B(4, 1) and C(3, k) are collinear

∴ Slope of AB = Slope of BC

∴ `(1 - 3)/(4 - 1) = ("k" - 1)/(3 - 4)`

∴ `(-2)/3 = ("k" - 1)/(-1)`

∴ 2 = 3k – 3

∴ k = `5/3`