Properties of Determinants is an important topic in the Mathematics section in BITSAT exam. Practising this topic will increase your score overall and make your conceptual grip on BITSAT exam stronger.
This article gives you a full set of BITSAT PYQs for Properties of Determinants with explanations for effective preparation. Practice of BITSAT Mathematics PYQs including Properties of Determinants questions regularly will improve accuracy, speed, and confidence in the BITSAT 2026 exam.
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BITSAT PYQs for Properties of Determinants with Solutions
1.
The value of the determinant $\begin{vmatrix}265&240&219\\ 240&225&198\\ 219&198&181\end{vmatrix}$ is- 1000
- 779
- 679
- 0
2.
Let $M$ be a $3 \times 3$ non-singular matrix with $det(M)=\alpha$. If $\left[M^{-1} adj(adj(M)]=K I\right.$, then the value of $K$ is- 1
- $\alpha$
- $\alpha^2$
- $\alpha^3$
3.
If $x, y, z$ are all positive and are the $p^{th}, q^{th}$ and $r^{th}$ terms of a geometric progression respectively, then the value of the determinant $\begin{vmatrix} \log x & p & 1 \\ \log y & q & 1 \\ \log z & r & 1 \end{vmatrix} = 0 $ equals- $\log \, xyz $
- $(p -1) (q - 1)(r -1)$
- $pqr$
- 0
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