Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

If a line makes  angle 90°, 60° and 45°with the positive direction of X, Y and Z-axis respectively, then it's direction cosines will be- 

Options:

0, 1/2, 1/√2

1, 1/2, √3/2

0, 1/5, √3/2

0, 1/2, 3/2

Correct Answer:

0, 1/2, 1/√2

Explanation:

Let the direction cosines of the lines be l, m, n. Then  l= cos(90°)= 0  , m= cos(60°)= 1/2, n = cos(45°) = 1/√2