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Introduction to 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

Into how many octants do the three coordinate planes divide space?
  1. 8 ✓
  2. 4
  3. 6
  4. 12
Answer: A. Each of x, y, and z may have either sign, giving 2³ = 8 octants.
Why not B: Four is the number of quadrants formed by two axes in a plane, not regions in three-dimensional space.
Why not C: This counts the positive and negative directions of three axes but not their sign combinations.
Why not D: Multiplying dimensions by quadrants does not generate the eight possible sign triples.
What is the distance between (1, −3, 4) and (−4, 1, 2)?
  1. √29 units
  2. 5√2 units
  3. 3√5 units ✓
  4. 45 units
Answer: C. The squared distance is (−5)²+4²+(−2)²=25+16+4=45, so the distance is 3√5 units.
Why not A: This omits the squared y-difference 4² from the sum.
Why not B: This treats the squared differences as 25+25 rather than 25+16+4.
Why not D: Forty-five is the squared distance and still requires taking a square root.
For A=(1,2,3), B=(−1,−2,−1), C=(2,3,2), and D=(4,7,6), what common midpoint proves ABCD is a parallelogram?
  1. (3/2,5/2,5/2) ✓
  2. (1/2,3/2,2)
  3. (5/2,9/2,4)
  4. (3/2,5/2,3/2)
Answer: A. Midpoint of AC is ((1+2)/2,(2+3)/2,(3+2)/2)=(3/2,5/2,5/2), equal to midpoint of BD.
Why not B: This averages A and B, which are adjacent rather than opposite vertices in ABCD.
Why not C: This averages C and D, also an adjacent pair rather than a diagonal.
Why not D: The x and y averages of AC are right, but the z-average (3+2)/2 is 5/2.

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 — Introduction to 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 Introduction to Three Dimensional Geometry?

This chapter test has 30 questions — 10 easy, 14 medium and 6 hard — all written against the NCERT Class 11 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.