Mathematics · JEE

Matrices and Determinants MCQs for JEE

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Matrices and Determinants JEE MCQs on Goodmarks include 45+ multiple-choice questions with correct answers and step-by-step solutions. Attempt free samples below or unlock the full bank with Pro.

Master Matrices and Determinants through exam-style multiple-choice questions. This page features 45+ JEE MCQs covering Matrices, algebra of matrices, type of matrices, Determinants and matrices of order two and three, Evaluation of determinants, Area of triangles using determinants, and more, each with verified answers and clear explanations.

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Subtopics in Matrices and Determinants

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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

What type of Matrices and Determinants MCQs appear in JEE?

JEE Main tests Matrices and Determinants through conceptual and numerical MCQs. Goodmarks mirrors this format with four-option questions and detailed solutions.

How many MCQs should I solve for Matrices and Determinants?

Aim for at least 50–100 MCQs per subtopic. Goodmarks has 45+ questions for Matrices and Determinants to build speed and accuracy.

Are solutions provided for every MCQ?

Yes. Each MCQ shows the correct option, final answer, and a step-by-step explanation after you submit.

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