Mathbee CBSE Mathbee · CBSE Class 12 Maths
Class 12 Three Dimensional Geometry · Mcq Single Correct1 Marksdirection_cosines

Class 12 Maths · Three Dimensional Geometry · Mcq Single Correct #7

A directed line makes angles π/3 and π/4 with the positive x- and y-axes. What are the possible angles with the positive z-axis?

✅ Step-by-Step Solution

Final Answer: Option (B): π/3 or 2π/3
  1. cos²γ=1−1/4−1/2=1/4. Both signs of cos γ are possible, so γ=π/3 or 2π/3.

Master Chapter 11: Three Dimensional Geometry

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Three Dimensional Geometry.
📘 Chapter Notes & All Exercises 🚀 Open Interactive Workspace →
← Previous Question
A line makes angles θ₁,θ₂,θ₃,θ₄ with the four body diagonals of a…
Next Question →
P lies on the segment joining (3,2,−1) and (6,2,−2). If x(P)=5, find…

More Practice Questions in Three Dimensional Geometry

Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q11Q12Q13Q14Q15Q16Q17Q18Q19Q20Q21Q22Q23Q24Q25Q26Q27Q28Q29Q30Q31Q32Q33Q34Q35Q36Q37Q38Q39Q40

Related Questions in Three Dimensional Geometry

Class 12 Three Dimensional Geometry · Mcq Single Correct
Find the foot of the perpendicular from (2,−3,4) to the y-axis.
Class 12 Three Dimensional Geometry · Mcq Single Correct
A line makes angles α,β,γ with the positive coordinate axes. Find cos 2α+cos 2β+cos 2γ.
Class 12 Three Dimensional Geometry · Mcq Single Correct
Find the distance of (α,β,γ) from the y-axis.
Class 12 Three Dimensional Geometry · Mcq Single Correct
Find direction cosines of (x−1)/2=(1−y)/3=(2z−1)/12.
Class 12 Three Dimensional Geometry · Mcq Single Correct
Find the acute angle between two distinct body diagonals of a cube.
Class 12 Three Dimensional Geometry · Mcq Single Correct
A line makes angles θ₁,θ₂,θ₃,θ₄ with the four body diagonals of a cube. Find Σ cos²θᵢ.