Mathematics · JEE

Matrices and Determinants Previous Year Questions for JEE

32+ syllabus-aligned questions available

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Goodmarks offers 32+ JEE-style PYQs for Matrices and Determinants with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Matrices and Determinants is tested in JEE. Practise 32+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

Subtopics in Matrices and Determinants

Matrices, algebra of matrices, type of matrices
Determinants and matrices of order two and three
Evaluation of determinants
Area of triangles using determinants
Adjoint and inverse of a square matrix
Test of consistency and solution of simultaneous linear equations in two or three variables using matrices

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Q1MathsUnit 3: Matrices and Determinants

STATEMENT 1: In a

\Delta A B C, a, b, c

denotes lengths of the sides and

\left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a} \\ \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b}\end{array}\right|=\mathbf{0}

then the triangle is equilateral triangle. STATEMENT 2: Sum of three non- negative numbers

=0 \Rightarrow

each number is zero.

Q2MathsUnit 3: Matrices and Determinants

\boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \mathbf{1} & \mathbf{1}+\boldsymbol{x} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}+\boldsymbol{y}\end{array}\right]

for

\boldsymbol{x} \neq

\mathbf{0}, \boldsymbol{y} \neq \mathbf{0},

then

\boldsymbol{D}

is:

Q3MathsUnit 3: Matrices and Determinants

2 a=b,

the pair of equations

a x+

b y=2 a^{2}-3 b^{2}, x+2 y=2 a-6 b

possess

Q4MathsUnit 3: Matrices and Determinants

The addition of two numbers is

-72 .

If one number is thrice the another number. Find the greater number

Q5MathsUnit 3: Matrices and Determinants

Solve the following equations by substitution method.

\boldsymbol{x}=\mathbf{2} \boldsymbol{y}-\mathbf{1} ; \boldsymbol{y}=\mathbf{2} \boldsymbol{x}-\mathbf{7}

Q6MathsUnit 3: Matrices and Determinants

\left[\begin{array}{lll}0 & 0 & 0\end{array}\right]

is an example of

Q7MathsUnit 3: Matrices and Determinants

Dashrath and Naresh are friends ,Naresh is 2 years younger than Dashrath.If the sum of their age is 56 years, find their present age.

Q8MathsUnit 3: Matrices and Determinants

Consider the following statements: 1. Determinant is a square matrix. 2. Determinant is a number associated with a square matrix. Which of the above statements is/are correct?

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Frequently asked questions

Why practise PYQs for Matrices and Determinants?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Matrices and Determinants, covering the same topics as previous year papers.

How should I use PYQs for Matrices and Determinants?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.