Matrices and Determinants PYQs - Last 10 Years
BITSAT / Mathematics / Algebra / 16 recent questions
MathematicsAlgebra2016-2025
Practice 16 BITSAT Mathematics questions from Matrices and Determinants. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
16
PYQs on Page
Mathematics / Algebra
2020-2025
Year Range
Based on indexed question metadata
14
Last 5 Years
2021-2025
16
Last 10 Years
2016-2025
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MCQ100%
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14 in last 5 years16 in last 10 years
Last 10 Years Matrices and Determinants Questions
Showing 16 of 16 filtered questions.
1Matrices And Determinants
If $A, B, C$ are the angles of a $\triangle A B C$, then
$$ \Delta=\left|\begin{array}{ccc} \sin 2 A & \sin C & \sin B \\ \sin C & \sin 2 B & \sin A \\ \sin B & \sin A & \sin 2 C \end{array}\right| \text { is equal to } $$
MCQ+3 / -12025
2Matrices And Determinants
Suppose $ p, q, r \neq 0 $ and system of equation $ (p+a) x+b y+c z=0 $, $ a x+(q+b) y+c z=0 $, $ a x+b y+(r+c) z=0 $, has a non-trivial solution, then the value of $ \frac{a}{p}+\frac{b}{q}+\frac{c}{r} $ is
MCQ+3 / -12024
3Matrices And Determinants
If matrix $ A=\left[\begin{array}{ccc}3 & -2 & 4 \\ 1 & 2 & -1 \\ 0 & 1 & 1\end{array}\right] $ and $ A^{-1}=\frac{1}{k} \operatorname{adj}(A) $,
MCQ+3 / -12024
4Matrices And Determinants
If $ A=\frac{1}{3}\left[\begin{array}{ccc}1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & b\end{array}\right] $ is an orthogonal matrix, then
MCQ+3 / -12024
5Matrices And Determinants
If \(a, b, c\) are non-zero real numbers and if the system of equations \((a-1) x-y-z=0, -x+(b-1) y-z=0,-x-y+(c-1) z=0\) has a non-trivial solution, then \(a b+b c+c a\) equals to
MCQ+3 / -12023
6Matrices And Determinants
$$
\text { If } A=\left[\begin{array}{cc}
\sin \theta & -\cos \theta \\
\cos \theta & \sin \theta
\end{array}\right] \text {, then } A(\operatorname{adj} A)^{-1} \text { equals to }
$$
MCQ+3 / -12023
7Matrices And Determinants
If the system of linear equation \(3 x-2 y+z=2, 4 x-3 y+3 z=-5\) and \(7 x-5 y+\lambda z=9\) has no solution, then \(\lambda\) equals to
MCQ+3 / -12023
8Matrices And Determinants
Let $$A=\left[\begin{array}{lll}3 & 2 & 3 \\ 4 & 1 & 0 \\ 2 & 5 & 1\end{array}\right]$$ and $$49 B=\left[\begin{array}{ccc}1 & 13 & -3 \\ -4 & -3 & 12 \\ \alpha & -11 & -5\end{array}\right]$$ If \(B\) is the inverse of \(A\), then the value...
MCQ+3 / -12023
9Matrices And Determinants
If p \(\ne\) a, q \(\ne\) b, r \(\ne\) c and the system of equations
px + ay + az = 0
bx + qy + bz = 0
cx + cy + rz = 0
has a non-trivial solution, then the value of \(\frac{p}{p-a}+\frac{q}{q-b}+\frac{r}{r-c}\) is
px + ay + az = 0
bx + qy + bz = 0
cx + cy + rz = 0
has a non-trivial solution, then the value of \(\frac{p}{p-a}+\frac{q}{q-b}+\frac{r}{r-c}\) is
MCQ+3 / -12022
10Matrices And Determinants
If $$\left[ {\matrix{
1 & { - \tan \theta } \cr
{\tan \theta } & 1 \cr
} } \right]{\left[ {\matrix{
1 & {\tan \theta } \cr
{ - \tan \theta } & 1 \cr
} } \right]^{ - 1}} = \left[ {\matrix{
a & { - b} \cr
b & a...
1 & { - \tan \theta } \cr
{\tan \theta } & 1 \cr
} } \right]{\left[ {\matrix{
1 & {\tan \theta } \cr
{ - \tan \theta } & 1 \cr
} } \right]^{ - 1}} = \left[ {\matrix{
a & { - b} \cr
b & a...
MCQ+3 / -12022
11Matrices And Determinants
Let \(A = \left[ {\matrix{
1 & { - 1} & 1 \cr
2 & 1 & { - 3} \cr
1 & 1 & 1 \cr
} } \right]\) and \(10B = \left[ {\matrix{
4 & 2 & 2 \cr
{ - 5} & 0 & \alpha \cr
1 & { - 2} & 3 \cr
} } \right]\)
If B is the ...
If B is the ...
MCQ+3 / -12022
12Matrices And Determinants
Given 2x \(-\) y + 2z = 2, x \(-\) 2y - z = \(-\)4, x + y + \(\lambda\)z = 4, then the value of \(\lambda\) such that the given system of equation has no solution is
MCQ+3 / -12022
13Matrices And Determinants
Matrix \(A = \left| {\matrix{
x & 3 & 2 \cr
1 & y & 4 \cr
2 & 2 & z \cr
} } \right|\), if xyz = 60 and 8x + 4y + 3z = 20, then A(adj A) is equal to
MCQ+3 / -12021
14Matrices And Determinants
If p\(\ne\) q \(\ne\) r and \(\left| {\matrix{
0 & {x - p} & {x - q} \cr
{x + p} & 0 & {x - r} \cr
{x + q} & {x - r} & 0 \cr
} } \right| = 0\), then the value of x which satisfy the equation is
MCQ+3 / -12021
15Matrices And Determinants
Consider matrix \(A = \left[ {\matrix{
2 & 1 \cr
1 & 2 \cr
} } \right]\), if \({A^{ - 1}} = \alpha I + \beta A\), where \(\alpha\), \(\beta\) \(\notin\) R, then (\(\alpha\) + \(\beta\)) is equal to (where A\(-\)1 denotes the i...
MCQ+3 / -12020
16Matrices And Determinants
An ordered pair (\(\alpha\), \(\beta\)) for which the system of linear \((1 + \alpha )x + \beta y + z = 2\), \(\alpha x + (1 + \beta )y + z = 3\), \(\alpha x + \beta y + 2z = 2\) has a unique solution.
MCQ+3 / -12020