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Matrices and Determinants MCQs for JEE

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Matrices and Determinants JEE MCQs on Goodmarks include 32+ 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 32+ 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.

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

Free sample questions

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Q1MathsUnit 3: Matrices and Determinants
STATEMENT 1: In a ΔABC,a,b,c\Delta A B C, a, b, c denotes lengths of the sides and ∣abcbcacab∣=0\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⇒=0 \Rightarrow each number is zero.
Q2MathsUnit 3: Matrices and Determinants
If A=[11111+x1111+y]\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 x≠\boldsymbol{x} \neq 0,y≠0,\mathbf{0}, \boldsymbol{y} \neq \mathbf{0}, then D\boldsymbol{D} is:
Q3MathsUnit 3: Matrices and Determinants
If 2a=b,2 a=b, the pair of equations ax+a x+ by=2a2−3b2,x+2y=2a−6bb 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.-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. x=2y−1;y=2x−7\boldsymbol{x}=\mathbf{2} \boldsymbol{y}-\mathbf{1} ; \boldsymbol{y}=\mathbf{2} \boldsymbol{x}-\mathbf{7}
Q6MathsUnit 3: Matrices and Determinants
[000]\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.

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Aim for at least 50–100 MCQs per subtopic. Goodmarks has 32+ 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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