IPMAT Indore Free Mocks Topic Tests

CUET Mathematics 2024 PYQs

View all CUET PYQs →

Collection of AfterBoards IPMAT JIPMAT Past Year Papers with Solutions

No login or phone number required. We are compiling all CUET past-year questions for free!

CUET Mathematics 2024

Algebra

>

Matrices & Determinants

Easy

$\Delta=\left|\begin{array}{ccc}1 & \cos x & 1 \\ -\cos x & 1 & \cos x \\ -1 & -\cos x & 1\end{array}\right|$
(A) $\Delta=2\left(1-\cos ^{2} x\right)$
(B) $\Delta=2\left(2-\sin ^{2} x\right)$
(C) Minimum value of $\Delta$ is $2$
(D) Maximum value of $\Delta$ is $4$
Choose the correct answer from the options given below :

(A), (C) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(B), (C) and (D) only

Correct Option: 4

Will be added.

Related questions:

CUET Mathematics 2024

A

is a square matrix and

I

is an identity matrix such that

A^{2}=A

A(I-2 A)^{3}+2 A^{3}

CUET Mathematics 2024

For a square matrix

A_{n \times n}

|\operatorname{adj} \mathrm{A}|=|\mathrm{A}|^{\mathrm{n}-1}

|\mathrm{A}|=|\operatorname{adj} \mathrm{A}|^{\mathrm{n}-1}

\mathrm{A}(\operatorname{adj} \mathrm{A})=|\mathrm{A}|

\left|\mathrm{A}^{-1}\right|=\frac{1}{|\mathrm{~A}|}

CUET Mathematics 2024

A

B

are symmetric matrices of the same order, then

A B-B A