CUET · MATHS · PYQ PAPER 2025
Match List-I with List-II
| List-I | List-II |
| (A) A square matrix P is said to be non-singular if | (I) \(|P|=0\) |
| (B) A square matrix P is said to be singular if | (II) \(P P^T\) is symmetric |
| (C) If a matrix P is both symmetric and skew-symmetric, then | (III) \(|P| \neq 0\) |
| (D) If P is a square matrix, then | (IV) \(P\) is a null matrix |
- A (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
- B (A) - (III), (B) - (I), (C) - (IV), (D) – (II)
- C (A) - (III), (B) - (IV), (C) - (I), (D) – (II)
- D (A) - (I), (B) (IV), (C) - (II), (D) – (III)
Answer & Solution
Correct Answer
(B) (A) - (III), (B) - (I), (C) - (IV), (D) – (II)
Step-by-step Solution
Detailed explanation
(A) - (III) (B) - (I) (C) - (IV) (D) - (II)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- An unbiased die is rolled. If the random variable \(X\) is defined as,
\(X=\left\{\begin{array}{ll}1 & \text { if the outcome is a number less than or equal to } 3 \\0 & \text { if the outcome is a number greater than } 3\end{array}\right.\)
Then the probability distribution of \(X\) is :CUET 2023 Medium - If \(f(x)=2 x^3-15 x^2+36 x+1, x \in[1,5]\), then the absolute minimum value of \(f(x)\) is:CUET 2023 Medium
- Which of the following statement are correct?
(A) \(A=\left[a_{i j}\right]_{n \times n}\) is a diagonal matrix if \(a_{i j}=0\) when \(i=j\)
(B) A square matrix \(A=\left[a_{i j}\right]\) is called a symmetric matrix if \(a_{i j}=a_{j i}\) for all \(i, j\)
(C) A square matrix \(A=\left[a_{i j}\right]\) is called a skew-symmetric matrix if \(a_{i j}=-a_{j i}\) for all \(i, j\)
(D) For every square matrix A, there exist an identity matrix of the same order such that \(I A=A I=I\)
Choose the correct answer from the options given below:CUET 2025 Medium - If \(x=t^2\) and \(y=t^3\), then \(\frac{d y}{d x}=6\) at \(t=\)CUET 2023 Easy
- The value of \(\tan ^{-1} 1+\cos ^{-1}\left(-\frac{1}{2}\right)+\sin ^{-1}\left(-\frac{1}{2}\right)\) isCUET 2023 Medium
- If a function \(f: R _{+} \rightarrow[-5, \infty)\) given by \(f(x)=9 x^2+6 x-5\) is one-one and onto, then \(f^{-1}(y)\) isCUET 2023 Easy
More PYQs from CUET
- The relation between species richness and area for a wide variety of taxa (angiosperm plants, birds, bats, freshwater fishes) can be represented by the equation :CUET 2025 Easy
- If A is a square matrix of order \(3 \times 3\) such that \(A^2 = A\) and I is the unit matrix of order \(3 \times 3\), then the value of \((I - A)^3 + A^2 + I\) is:CUET 2023 Medium
- \(A\) and \(B\) take turns in throwing a pair of dice, the first to throw a sum of 9 wins the prize.
If \(A\) throws first, then the ratio of the probabilities of \(A\) and \(B\) winning is :CUET 2023 Medium - The correct relation for determining the molar mass of solute ( \(M_2\) )
using osmotic pressure measurement, isCUET 2025 Medium - What are seen as "beads on string" structure when viewed under an electron microscope ?CUET 2025 Medium
- The value of \(x\), if \(\cos^{-1} \sqrt{3}x + \cos^{-1} x = \frac{\pi}{2}\) is:CUET 2023 Medium