Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The angle between two diagonals of a cube is

Options:

$\cos \theta=\frac{\sqrt{3}}{2}$

$\cos \theta=\frac{1}{\sqrt{2}}$

$\cos \theta=1 / 3$

none of these

Correct Answer:

$\cos \theta=1 / 3$

Explanation:

$\cos \theta=\frac{-a^2+a^2+a^2}{\sqrt{a^2+a^2+a^2} \sqrt{a^2+a^2+a^2}}$ of side is a

$=\frac{1}{3}$