CUET · MATHS · PYQ PAPER 2023
If \(\left|\begin{array}{ccc}-a^2 & a b & a c \\ b a & -b^2 & b c \\ a c & b c & -c^2\end{array}\right|=4 x\), then \(x=\)
- A abc
- B \(a^2 b^2 c^2\)
- C \(a+b+c\)
- D \(0\)
Answer & Solution
Correct Answer
(B) \(a^2 b^2 c^2\)
Step-by-step Solution
Detailed explanation
\(\left|\begin{array}{ccc}-a^2 & a b & a c \\ b a & -b^2 & b c \\ c a & c b & -c^2\end{array}\right| = abc \left|\begin{array}{ccc}-a & b & c \\ a & -b & c \\ a & b & -c\end{array}\right|\)…
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
- If \(\vec{a}, \vec{b}\) and \(\vec{c}\) are three vectors such that \(\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0},|\vec{a}|=7,|\vec{b}|=3\) and \(|\vec{c}|=5\), then angle between \(\vec{b}\) and \(\vec{c}\) isCUET 2025 Hard
- If \(A=\left[\begin{array}{cc}a \cos \theta & b \sin \theta \\ -b \sin \theta & a \cos \theta\end{array}\right]\), then \(A^{-1}\) is equal to:CUET 2023 Easy
- Match List - I with List - II
Choose the correct answer from the options given below:List - I List - II (A) \(\int_{-\pi / 2}^{\pi / 2} \sin ^5 x d x\) (I) \(\pi\) (B) \(\int_{-\pi / 2}^{\pi / 2}\left(x^3+\tan ^3 x+1\right) d x\) (II) \(\frac{\pi}{12}\) (C) \(\int_0^{\pi / 2} \frac{\cos ^5 x}{\cos ^5 x+\sin ^5 x} d x\) (III) \(\frac{\pi}{4}\) (D) \(\int_1^{\sqrt{3}} \frac{d x}{1+x^2}\) (IV) 0 CUET 2023 Easy - Given \(A=\left[\begin{array}{ll}2 & 3 \\ 1 & 4\end{array}\right]\) and \(B=\left[\begin{array}{ll}x & y \\ 1 & 4\end{array}\right]\), If \(A=B\), then \(x\) and \(y\) are :CUET 2023 Hard
- The rate of change in area of a triangle having sides 10 cm and 12 cm when the variable angle between them is \(\theta=60^{\circ}\), is :CUET 2023 Easy
- The random variable \(X\) can take values 0, 1, 2 . If \(P(X=0)=P(X=1)=\alpha\), and \(E\left(X^2\right)=E(X)\), then which of the following are correct?
\(E(X)=2-3 \alpha\)
\(E\left(X^2\right)=4+7 \alpha\)
\(\alpha=\frac{1}{2}\)
\(\alpha=\frac{1}{5}\)
Choose the correct answer from the options given below :CUET 2025 Easy
More PYQs from CUET
- The value of \(\int_0^1[\log x-\log (1-x)] d x\) isCUET 2025 Hard
- A first order reaction is 50% completed in \(1.26 \times 10^{14}\) s.
How much time would it take for 100% completion?CUET 2025 Medium - Arrange the given organisms in the food chain starting from lower to higher trophic level?
(A) Lion
(B) Cow
(C) Grass
(D) Wolf
Choose the correct answer from the options given below:CUET 2025 Easy - For \(x>e\),\(\int \frac{d x}{x-\sqrt{x}}\) is equal toCUET 2025 Hard
- A girl peddles a stationary bicycle. The pedals of the bicycle are attached to a N = 100 turn coil of area \( A = 0.10 \text{ m}^2 \). The coil completes one revolution in T = 2 seconds, and it is placed in a uniform magnetic field of B = 0.02 T perpendicular to the axis of rotation of the coil. The maximum voltage generated in the coil will beCUET 2025 Medium
- Which of the following is a straight chain polysaccharide composed only of ß-Dglucose units?CUET 2025 Hard