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Determinants and matrices of order two and three Short Tricks for JEE

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Quick answer

Short tricks for Determinants and matrices of order two and three work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

Use these Determinants and matrices of order two and three shortcuts to save time in JEE Mathematics papers — then validate speed with 5+ MCQs on Goodmarks.

Short tricks for speed

  • Determinants and matrices of order two and three focus drill

    Solve 15 mixed MCQs for Determinants and matrices of order two and three, review every explanation, and note formulas you hesitated on.

  • Calculus substitution scan

    Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.

  • Graph sketch shortcut

    For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

Syllabus context

Part of Matrices and Determinants in JEE Main Mathematics.

Free sample questions

Attempt 5 free MCQs for Determinants and matrices of order two and three. Unlock the full bank with Pro.

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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
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
Q4MathsUnit 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
Q5MathsUnit 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

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Are short tricks enough for Determinants and matrices of order two and three in JEE?

No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.

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