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Determinants — 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

For a 2 × 2 matrix with rows (a,b) and (c,d), its determinant is
  1. ad−bc ✓
  2. ac−bd
  3. ab−cd
  4. ad+bc
Answer: A. By definition det A=ad−bc.
Why not B: Multiplies down columns instead of diagonals.
Why not C: Multiplies across rows.
Why not D: Adds the two diagonal products.
The determinant with rows (1,2) and (3,4) is
  1. 10
  2. −10
  3. −2 ✓
  4. 2
Answer: C. For a 2 × 2 determinant, use ad−bc, not a sum of the diagonal products. Thus 1·4−2·3=4−6=−2.
Why not A: Adds cross-products.
Why not B: Reverses the subtraction then doubles.
Why not D: Reverses ad−bc.
If det A=−2 and A is 3 × 3, det(−A) is
  1. 2 ✓
  2. −2
  3. 8
  4. −8
Answer: A. det(−A)=(−1)³det A=2.
Why not B: Ignores the odd-order scaling sign.
Why not C: Uses the original determinant.
Why not D: Cubes det A instead of scaling rows.

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 — Determinants →

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 Determinants?

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.