📐 Mathematics · Introduction to Three Dimensional Geometry · JEE

In what ratio does the XY-plane divide the line joining A(1, 2, 3) and B(2, 4, −6)?

Answer: 1 : 2.

Correct answer: D. 1 : 2

Explanation: On the XY-plane z = 0. With ratio k : 1, z = (−6k + 3)/(k + 1) = 0 gives k = 1/2, i.e. 1 : 2.

Concept context

Coordinate axes and planes in space, octants, distance between two points, and the section formula