CUET · MATHS · PYQ PAPER 2025
If \(A=\left[\begin{array}{ll}5 & 6 \\ 3 & 2\end{array}\right]\), then which of the following is correct?
(A) \(|A|\) is positive
(B) \(|a d j A|=-8\)
(C) Cofactor of 3 is 6
(D) \(|2 A|=-32\)
Choose the correct answer from the options given below :
- A (B) and (D) only
- B (A), (B) and (C) only
- C (A), (C) and (D)
- D (C) and (D) only
Answer & Solution
Correct Answer
(A) (B) and (D) only
Step-by-step Solution
Detailed explanation
\(|A| = (5)(2) - (6)(3) = 10 - 18 = -8\) Therefore, (A) \(|A|\) is positive is incorrect. \(adj A = \begin{bmatrix} 2 & -6 \\ -3 & 5 \end{bmatrix}\) \(|adj A| = (2)(5) - (-6)(-3) = 10 - 18 = -8\) Therefore, (B) \(|adj A| = -8\) is correct. Cofactor of 3 (\(C_{21}\))…
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
- The corner points of the bounded feasible region of the LPP: Maximise \(Z = x + y\) subject to constraints \(2x + 5y ≤ 100, 8x + 5y ≤ 200 x ≥ 0 y ≥ 0\) areCUET 2025 Hard
- If a discrete random variable \(X\) has the following probability distribution: \(\begin{array}{lll}X & \frac{2}{3}^1 & \frac{4}{3} \\& & \\P(X) & & c \\& & c^2 \\& c^2\end{array}\) then \(c\) is:CUET 2023 Hard
- Which of the following are normal equations to fit a straight line trend \(y=a+b x\) by the method of least squares?CUET 2025 Easy
- \(\int\left(x+\frac{1}{x}\right)^2 d x\) equals :CUET 2023 Easy
- Consider the region bounded by the lines \(y-1=x, x=-2, x=3\) and \(x\)-axis. Then,
(A) The area of the bounded region is given by \(\int_{-2}^3(x+1) d x\)
(B) The numerical value of the area is \(\frac{15}{2}\) sq. units
(C) The numerical value of the area is 8 sq . units
(D) The numerical value of the area is \(\frac{17}{2}\) sq. units
Choose the correct answer from the options given below:CUET 2025 Medium - If the tangent to the curve \(y^2 + 3x - 7 = 0\) at the point (h, k) is parallel to the line x - y = 4, then the value of k is:CUET 2023 Medium
More PYQs from CUET
- Which of the following compounds will give a pair of enantiomers upon nucleophilic substitution reaction with a hydroxide ion?CUET 2025 Easy
- The nomenclature of the complex \(\left[ CuCl _2\left( CH _3 NH _2\right)_2\right]\) isCUET 2025 Easy
- A coil has an inductance of \( L = 0.02 \text{ H} \) and the current is increasing at the rate of \( \frac{dI}{dt} = 200 \text{ A/s} \). The emf induced in it, \( \epsilon \), is:CUET 2025 Medium
- A' can run 1 km in 5 minutes 20 seconds and 'B' can run the same distance in 6 minutes. How many meters start can 'A' give 'B' in a kilometer race so that they finish the race together?CUET 2025 Hard
- The maximum value of Z = 3x + y subject to the constraints
x + y \(\le\) 7,
x \(\le\) 5,
y \(\le\) 4,
x \(\ge\) 0, y \(\ge\) 0 is:CUET 2023 Easy - Match List-I With List-II
Choose the correct answer from the options below:LISt – I (Material) LIST – II (Values) (A) Gold (I) \(4.5 \times 10^3\) (B) Glass (II) \(3.5 \times 10^{-5}\) (C) Silicon (III) \(1.0 \times 10^{-16}\) (D) Pure water (IV) \(1.5 \times 10^{-2}\) CUET 2025 Medium