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Class 12 Mathematics — Chapter 11: Three Dimensional Geometry
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Free NCERT-aligned multiple-choice practice for Class 12 Mathematics, Chapter 11 (Three Dimensional Geometry). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 66.
Sample questions
Q1Easy
Direction cosines of x-axis:
A.(1,0,0)✓ correct
B.(0,1,0)
C.(0,0,1)
D.(1,1,1)
Why
Along i-direction.
Q2Medium
Line through point a with direction b:
A.r = a + λb✓ correct
B.r = a × b
C.r = ab
D.r = a + b only
Why
Vector form, λ ∈ R.
Q3Hard
Angle between two lines with direction vectors u, v:
A.cosθ = (u·v)/(|u||v|)✓ correct
B.u×v
C.u·v / |u+v|
D.sinθ = u·v
Why
Dot product formula.
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