CUET · MATHS · PYQ PAPER 2023
If \(\left|\begin{array}{ll}3 & x \\ x & 1\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & 1\end{array}\right|\), then x is equal to :
- A \(2 \sqrt{2}\)
- B \(-2 \sqrt{2}\)
- C \(\pm 2 \sqrt{2}\)
- D 0
Answer & Solution
Correct Answer
(C) \(\pm 2 \sqrt{2}\)
Step-by-step Solution
Detailed explanation
\(3(1) - x(x) = 3(1) - 2(4)\) \(3 - x^2 = 3 - 8\) \(3 - x^2 = -5\) \(-x^2 = -8\) \(x^2 = 8\) \(x = \pm\sqrt{8}\) \(x = \pm 2\sqrt{2}\)
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 the system of equation
\(x-y+z=4\)
\(x-2 y-2 z=9\)
\(2 x+y+\lambda z=1\)
has a unique solution, thenCUET 2025 Hard - Which of the following are correct?
(A) For a square matrix \(A\), if \(A^3=I\), then \(A^{-1}=A^2\).
(B) The determinant of only a square matrix can be defined.
(C) If \(A\) is a square matrix of order 3 , then the number of minors of the matrix \(A\) is 3 .
(D) If \(A\) and \(B\) are two non-singular matrices of the same order, then \((A B)^{-1}=B^{-1} A^{-1}\).
Choose the correct answer from the options given below :CUET 2025 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 - Let \(P\) be the point of intersection of the line \(\frac{x+5}{6}=\frac{y+4}{1}=\frac{3-z}{1}\) and the plane \(x+y+2 z=2\).
If \(Q\) is the point \((-3,3,4)\), then \((P Q)^2\) is equal toCUET 2023 Medium - The function \(Z=\alpha x+\beta y(\alpha, \beta>0)\) corresponds to the objective function of an LPP that needs to be maximized subject to \(x+y \leq 1, x, y \geq 0\).
Then the set of optimal solutions is:CUET 2023 Hard - The relation \(R=\{(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)\}\) on the set \(A=\{1,2,3\}\) is :CUET 2023 Medium
More PYQs from CUET
- If \(x=\frac{1-t}{1+t}\) and \(y=\frac{2 t}{1+t}\), then \(\frac{d^2 y}{d x^2}\) is equal to :CUET 2025 Easy
- The total charge of an electric dipole is (Where 'q' is the point charge on either side of the dipole and 'e' is the charge of an electron)CUET 2023 Hard
- The volume of parallelepiped whose co-terminous edges are given by \(-3 \hat{i}+7 \hat{j}+5 \hat{k},-5 \hat{i}+7 \hat{j}-3 \hat{k}\) and \(7 \hat{i}-5 \hat{j}-3 \hat{k}\) is :CUET 2023 Easy
- The area (in sq. units) of the triangle whose vertices are \((0,0),(a, 0),(0, b)\), is equal toCUET 2025 Medium
- Identify the gene which is not effective against cotton boll worms?CUET 2023 Medium
- The declared rate of return compounded semi annually equivalent to the effective rate of return \(10.25\%\) per annum is :CUET 2025 Hard