📐 Mathematics · Introduction to Three Dimensional Geometry · JEE

The ratio in which the line joining (2, 4, 5) and (3, 5, −4) is divided by the XY-plane is:

Answer: 5 : 4.

Correct answer: B. 5 : 4

Explanation: Setting z = 0 with ratio k : 1: (−4k + 5)/(k + 1) = 0 gives k = 5/4, i.e. the ratio 5 : 4.

Concept context

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