📐 Mathematics · Introduction to Three Dimensional Geometry · JEE

In what ratio does the YZ-plane divide the line joining (−2, 4, 7) and (3, −5, 8)?

Answer: 2 : 3.

Correct answer: C. 2 : 3

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

Concept context

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