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Three Dimensional Geometry — NEET Maths MCQs

30 questions written by hand against the NCERT chapter. Every wrong option is explained, not just the right one.

30questions
10/14/6easy / medium / hard
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Sample questions from this chapter

Direction cosines l,m,n of a line satisfy
  1. l²+m²+n²=1 ✓
  2. l+m+n=1
  3. lmn=1
  4. l²+m²+n²=0
Answer: A. Direction cosines are components of a unit direction vector.
Why not B: Omits the squares.
Why not C: Uses a product condition.
Why not D: Sets a unit-vector norm to zero.
Vector equation of the x-axis is
  1. r=λi ✓
  2. r=i+λj
  3. r=λ(i+j)
  4. r=k+λi
Answer: A. Every x-axis point is (λ,0,0).
Why not B: Traces a line parallel to y through (1,0,0).
Why not C: Traces a diagonal in the xy-plane.
Why not D: Traces a line parallel to x but displaced in z.
Shortest distance between r=λi and r=j+μk is
  1. 1 ✓
  2. 0
  3. √2
  4. 2
Answer: A. The common normal is along j and the offset has unit j-component.
Why not B: The lines do not intersect.
Why not C: Adds two unit offsets though only j is normal.
Why not D: Doubles the unit normal separation.

These are 3 of the 30 questions in the test. Take the full chapter test →

Read the chapter first

Every NCERT question in this chapter is solved, free: NCERT solutions — Three Dimensional Geometry →

Other NEET Maths chapters

SetsRelations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsLinear InequalitiesPermutations and Combinations

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Questions

How many NEET questions are there on Three Dimensional Geometry?

This chapter test has 30 questions — 10 easy, 14 medium and 6 hard — all written against the NCERT Class 12 chapter.

Is this NEET Maths chapter test free?

Yes. Every chapter test is free with no login, and you get your all-India rank on every one. Nothing on the site is on sale right now.

Do the questions explain the wrong options?

Yes — every distractor carries its own explanation naming the specific misconception that makes a student pick it. That is the part most question banks skip, and it is the part that changes your next attempt.