CUET · MATHS · PYQ PAPER 2025
Match List-l with List-ll
| List-l (Matrix A) | List-ll (Determinant of adjA) |
| (A) \(\left[\begin{array}{cc}2 & 1 \\ -1 & 2\end{array}\right]\) | (I) 3 |
| (B) \(\left[\begin{array}{ll}3 & 4 \\ 3 & 6\end{array}\right]\) | (II) 6 |
| (C) \(\left[\begin{array}{cc}3 & 7 \\ -2 & -4\end{array}\right]\) | (III) 5 |
| (D) \(\left[\begin{array}{ll}4 & 3 \\ 3 & 3\end{array}\right]\) | (IV) 2 |
- A (А) - (II), (В) - (I), (C) - (III), (D) - (IV)
- B (А) - (I), (B) - (II), (C) - (III), (D) - (IV)
- C (А) - (I), (B) - (II), (C) - (IV), (D) - (III)
- D (А) - (ІІІ), (В) - (II), (C) - (IV), (D) - (I)
Answer & Solution
Correct Answer
(D) (А) - (ІІІ), (В) - (II), (C) - (IV), (D) - (I)
Step-by-step Solution
Detailed explanation
For a 2x2 matrix \(A\), \(|\text{adj}A| = |A|\). (A) \(|A| = (2)(2) - (1)(-1) = 4 + 1 = 5\). (B) \(|A| = (3)(6) - (4)(3) = 18 - 12 = 6\). (C) \(|A| = (3)(-4) - (7)(-2) = -12 + 14 = 2\). (D) \(|A| = (4)(3) - (3)(3) = 12 - 9 = 3\). Therefore: (A)-(III), (B)-(II), (C)-(IV), (D)-(I).
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
- Consider the following hypothesis test:
\(H _0: \mu \leq 3432\)
\(H _{ a }: \mu>3432\)
A sample of 96 provided a sample mean \(\bar{x}\) = 3648 and sample standard deviation s = 802 then the degree of freedom of t-distribution is:CUET 2025 Easy - The function \(f(x)=2 x^3-3 x^2-12 x+4\) has :CUET 2023 Medium
- If \(x=a \sec ^3 \theta, y=a \tan ^3 \theta\), then \(\frac{d y}{d x}\) at \(\theta=\frac{\pi}{3}\) isCUET 2025 Medium
- During lockdown, Amit was suffering from heart problem. After proper check-up it was deducted that he has \(45\%\) chance of having heart attack, but yoga and meditation assumed to reduce the chance of heart attack by \(25\%\) and \(20\%\) respectively. He has option to choose any of the two options with equal probabilities.
If Amit goes through one of the two options selected at random and suffers a heart attack, then the probability that he had selected yoga is:CUET 2023 Medium - The value of \(\left|\begin{array}{llr}\sin 15^{\circ} & \cos 15^{\circ} & 2 \sin 30^{\circ} \\ \sin 30^{\circ} & \cos 30^{\circ} & \sin 45^{\circ} \\ \cos 75^{\circ} & \sin 75^{\circ} & \sin 90^{\circ}\end{array}\right|\) isCUET 2023 Hard
- If the area of the triangle with vertices A(x, 4), B(-2, 4) and C(2,-6) is 35 sq units, then the values of 2 are:CUET 2023 Easy
More PYQs from CUET
- Given below are reduction potentials :
(A) \(E _{ Cu ^{2+} / Cu }^0=0.34 V\)
(B) \(E _{ Sn ^{2+} / Sn }^0=-0.14 V\)
(C) \(E _{ Zn ^{2+} / Zn }^0=-0.76 V\)
(D) \(E _{ K ^{+} / K }^0=-2.93 V\)
The strongest reducing agent from the above is :CUET 2023 Easy - The area of the region bounded by \(x=y^2\) and the line \(x=4\) in square units is :CUET 2023 Hard
- Which cell is used in automobiles and inverters?CUET 2025 Hard
- Certain Aldehydes, Retore and certain alcohol undergo iodoform test. Certain Aldehydes ketones undergo aldol condensation. While certain aldehydes undergo Cannizaro's reaction. Aldehydes responds to tollen reagent and fehling reagent test.
Which amongst the following undergo aldol condensation?
A. \(CH_3CHO\)
B. \(HCHO\)
C. \(CH_3COCH_3\)
D. \(C_6H_5CHO\)
Choose the correct optionCUET 2023 Medium - If \(y = x^2 \log_e x\), then \(\frac{d^2y}{dx^2}\) is equal to:CUET 2023 Easy
- Which of the following matrices is symmetric as well as skew-symmetric?CUET 2023 Medium