Determinants

JEE Advanced · Mathematics · 10 past questions

1. Q1 2023 Paper 1

   Let $\alpha, \beta$ and $\gamma$ be real numbers. Consider the following system of linear equations…

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2. Q2 2022 Paper 1

   Let $|M|$ denote the determinant of a square matrix $M$. Let $g:\left[0,\frac{\pi}{2}\right]\to\mathbb{R}$ be…

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3. Q3 2017 Paper 2

   If…

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4. Q4 2016 Paper 1

   The total number of distinct $x\in\mathbb{R}$ for which…

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5. Q5 2016 Paper 2

   Let $a, \lambda, \mu \in \mathbb{R}$. Consider the system of linear equations…

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6. Q6 2015 Paper 1

   Which of the following values of $\alpha$ satisfy the equation…

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7. Q7 2012 Paper 1

   Let $P=[a_{ij}]$ be a $3\times3$ matrix and let $Q=[b_{ij}]$, where $b_{ij}=2^{i+j}a_{ij}$ for…

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8. Q8 2010 Paper 1

   Let $\omega$ be the complex number $\cos\frac{2\pi}3+i\sin\frac{2\pi}3$. Then the number of distinct complex…

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9. Q9 2009 Paper 2

   Let $(x, y, z)$ be points with integer coordinates satisfying the system of homogeneous equations…

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10. Q10 2007 Paper 1

    Consider the following linear equations…

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