CUET · MATHS · PYQ PAPER 2025
If \(A=\left[\begin{array}{ccc}0 & a & 2 \\ -2 & 0 & b \\ -2 & 2 & c\end{array}\right]\) is a skew symmetric matrix, then the value of \((a+b+c)^3\) is :
- A 1
- B \(0\)
- C 8
- D 2
Answer & Solution
Correct Answer
(B) \(0\)
Step-by-step Solution
Detailed explanation
\(c = 0\) \(a = -(-2) = 2\) \(b = -(2) = -2\) \((a+b+c)^3 = (2+(-2)+0)^3 = 0^3 = 0\)
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
- For \(x>y>0\), if \(x^5 y^6=(x+y)^{11}\), then \(\frac{d^{2} y}{d x^2}\) isCUET 2025 Hard
- Area of a rectangle having vertices A, B, C, D with position vectors \(-\hat{i} + \frac{1}{2}\hat{j} + 4\hat{k}, \hat{i} + \frac{1}{2}\hat{j} + 4\hat{k}, \hat{i} - \frac{1}{2}\hat{j} + 4\hat{k}\) and \(-\hat{i} - \frac{1}{2}\hat{j} + 4\hat{k}\) respectively is:CUET 2023 Easy
- The corner points of the bounded feasible region for an LPP are (0, 20), (3, 12), (6,8), (0, 15).
The objective function is \(Z=a x+\beta y\), where \(a, \beta>0\).
If the maximum of Z occurs at the corner points (3, 12) and (6,8), then the relationship between \(a\) and \(\beta\) is:CUET 2025 Medium - The function \(f : R \rightarrow R\) defined by \(f(x)=\left\{\begin{array}{ll}x^2, & x \geq 1 \\ x, & x<1\end{array}\right.\) isCUET 2025 Medium
- If two vectors \(\vec{a}\) and \(\vec{b}\) are such that \(|\vec{a}|=2,|\vec{b}|=3\) and \(\vec{a} \cdot \vec{b}=4\), then \(|\vec{a}-2 \vec{b}|\) is :CUET 2023 Medium
- Which of the following inequalities holds true?
(A) \(\sqrt{5}+\sqrt{3}>\sqrt{6}+\sqrt{2}\).
(B) If \(a>b\) and \(c<0\), then \(\frac{a}{c}<\frac{b}{c}\).
(C) \(\frac{1}{x^2}>\frac{1}{x}>1\), if \(0<x<1\).
(D) If \(a\) and \(b\) are positive integers and \(\frac{a-b}{6.25}=\frac{4}{2.5}\), then \(b>a\).
Choose the correct answer from the options given below:CUET 2025 Medium
More PYQs from CUET
- If \(\int \frac{2 x-5}{(2 x-3)^3} e^{2 x} d x=\frac{\lambda e^{2 x}}{(2 x-3)^2}+C\), where \(C\) is an arbitrary constant then the value of \(\lambda\) is :CUET 2025 Easy
- Identify the correct combination of salient features of the genetic code.
(A) AUG has dual functions as it codes for methionine (met), and also act as initiator codon.
(B) Some amino acids are coded by more than one codon, hence the code is degenerate.
(C) UAA, UAG, UGG are stop terminator codons.
(D) The codon is read in mRNA in a continuous fashion and there are no punctuations.
Choose the correct answer from the options given below:CUET 2025 Easy - If the least distance of distinct vision for a person is 50 cm, what should be the focal length of the reading spectacles for him ?CUET 2023 Easy
- Isotonic solutions must have the same
(A) Solute
(B) Density
(C) Elevation in boiling point
(D) Depression in freezing point
Choose the correct answer from the options given below :CUET 2025 Medium - If \(A=\left[\begin{array}{cc}x+4 & 2 \\ 3 & 1\end{array}\right] B =\left[\begin{array}{cc}x & 2 x-1 \\ 2 & 5\end{array}\right]\) and \(|A B|=12\), then the value(s) of \(x\) is/are :CUET 2023 Easy
- Match List - I with List - II
Choose the correct answer from the options given below:List - I List - II (A) \([Ni(CN)_4]^{2-}\) (I) \(EDTA^{4-}\) (B) bidentate (II) paramagnetic (C) chelate ligand (III) diamagnetic (D) \([Ni(Cl)_4]^{2-}\) (IV) oxalate CUET 2023 Easy