Goodmarks

Mathematics · JEE

Hard Determinants and matrices of order two and three MCQs for JEE

6+ syllabus-aligned questions available

Quick answer

Hard Determinants and matrices of order two and three MCQs train multi-concept problem solving — attempt after mastering easy and medium sets (6+ on Goodmarks).

Push your limits with hard Determinants and matrices of order two and three MCQs designed for JEE Advanced-level thinking. 6+ questions with detailed solutions.

Syllabus context

Part of Matrices and Determinants in JEE Main Mathematics.

Free sample questions

Attempt 6 free MCQs for Determinants and matrices of order two and three. Unlock the full bank with Pro.

Unlock full bank
Q1MathsUnit 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:
Q2MathsUnit 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?
Q3MathsUnit 3: Matrices and Determinants
If AA and BB are square matrices of order 3 such that ∣A∣=−1,∣B∣=3,|\boldsymbol{A}|=-\mathbf{1},|\boldsymbol{B}|=\mathbf{3}, then the determinant of 3AB3 A B is equal to
Q4MathsUnit 3: Matrices and Determinants
In a triangle ABC,A B C, with usual notations, if ∣1ab1ca1bc∣=0,\left|\begin{array}{ccc}1 & a & b \\ 1 & c & a \\ 1 & b & c\end{array}\right|=0, then 4sin⁡2A+4 \sin ^{2} A+ 24sin⁡2B+36sin⁡2C24 \sin ^{2} B+36 \sin ^{2} C is equal to
Q5MathsUnit 3: Matrices and Determinants
If DP=∣P158P2359P32510∣,D_{P}=\left|\begin{array}{ccc}\boldsymbol{P} & \mathbf{1 5} & \mathbf{8} \\ \boldsymbol{P}^{2} & \mathbf{3 5} & \mathbf{9} \\ \boldsymbol{P}^{3} & \mathbf{2 5} & \mathbf{1 0}\end{array}\right|, then D1+\boldsymbol{D}_{1}+ D2+D3+D4+D5D_{2}+D_{3}+D_{4}+D_{5} is equal to
Q6MathsUnit 3: Matrices and Determinants
Assertion Δ=sin⁡πcos⁡(x+π/4)tan⁡(x−sin⁡(x−π/4)−cos⁡(π/2)log⁡(xcot⁡(π/4+x)log⁡(y/x)tan⁡\begin{array}{ccc}\mathbf{\Delta}= & & \\ & \sin \pi & \cos (\boldsymbol{x}+\boldsymbol{\pi} / \mathbf{4}) & \tan (\boldsymbol{x}- \\ \sin (\boldsymbol{x}-\boldsymbol{\pi} / \mathbf{4}) & -\cos (\boldsymbol{\pi} / \mathbf{2}) & \log (\boldsymbol{x} \\ \cot (\boldsymbol{\pi} / \mathbf{4}+\boldsymbol{x}) & \log (\boldsymbol{y} / \boldsymbol{x}) & \tan \end{array} 0 Reason A skew symmetric determinant of odd order equals 0

Want unlimited Determinants and matrices of order two and three practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started freeView Pro plans

Popular questions in Determinants and matrices of order two and three

Frequently asked questions

When should I attempt hard Determinants and matrices of order two and three MCQs?

After 70%+ accuracy on medium MCQs and once core formulas are automatic.

Related topics