If a line makes the angle 30°, 60&de

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

If a line makes the angle 30°, 60°, and 90° with the positive direction of X, Y and Z-axes respectively. then the direction cosines will be-

Options:

√3/2, 1/2, 1

√3/2, 1/2, 0

√3/2, 1, 0

√3/2, 1/√3, 0

Correct Answer:

√3/2, 1/2, 0

Explanation:

Let the direction cosines of the lines be l, m, n. Then l= cos(30°)=√3/2 , m= cos(60°)= 1/2, n = cos(90°) = 0