CUET · MATHS · PYQ PAPER 2023
Which of the following determinant has the correct value?
- A \(\left|\begin{array}{lll}x & a & x+a \\ y & b & y+b \\ z & c & z+c\end{array}\right|=x y z\)
- B \(\left|\begin{array}{lll}x & x & a \\ y & y & b \\ z & z & c\end{array}\right|=a b c\)
- C \(\left|\begin{array}{lll}x & a & +x \\ y & b & +y \\ z & c & +z\end{array}\right|=0\)
- D \(\left|\begin{array}{lll}x+a & a & x \\ y+b & b & y \\ z+c & c & z\end{array}\right|=a b c\)
Answer & Solution
Correct Answer
(C) \(\left|\begin{array}{lll}x & a & +x \\ y & b & +y \\ z & c & +z\end{array}\right|=0\)
Step-by-step Solution
Detailed explanation
\( \left|\begin{array}{lll}x & a & x \\ y & b & y \\ z & c & z\end{array}\right| \) \( C_1 = C_3 \) \( = 0 \)
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
- The area (in sq. units) of the region bounded by the curve \(y=\cos x\) between \(x=-\frac{\pi}{2}, x=\frac{\pi}{2}\) and the \(x\)-axis isCUET 2025 Easy
- The points on the ellipse \(\frac{x^2}{9}+\frac{y^2}{25}=1\) at which the tangents are parallel to the \(x\)-axis are:CUET 2023 Easy
- If a matrix \(A=\left[\begin{array}{cc}5 & -8 \\ -3 & 5\end{array}\right]\) then which of the following is / are TRUE?
(A) |A| = 1
(B) A is a singular matrix.
(C) \(-2 A=\left[\begin{array}{cc}10 & -16 \\ -6 & 10\end{array}\right]\)
(D) \(A I=\left[\begin{array}{ll}5 & 0 \\ 0 & 5\end{array}\right] I\) is an identity matrix of order 2.
Choose the correct answer from the options given below:CUET 2025 Medium - Two ropes are tied along the two diagonals of a cubic room. Ropes are inclined to each other at :CUET 2023 Hard
- Differential coefficient of \(\sec(\tan^{-1} x)\) with respect to x is:CUET 2023 Hard
- If A and B are two independent events then,
Match List I with List II
Choose the correct answer from the options given below:List - I List - II (A) \(P(A \cup B)\) (I) \(P\left(A^{\prime}\right) P\left(B^{\prime}\right)\) (B) P(not A or not B) (II) \(P(A) ; P(B) \neq 0\) (C) \(P(A / B)\) (III) \(1-P\left(A^{\prime}\right) P\left(B^{\prime}\right)\) (D) P(neither A nor B) (IV) \(1-P(A) P(B)\) CUET 2023 Easy
More PYQs from CUET
- The number of photons emitted per minute by a 25 W source of monochromatic light of wavelength \( 6000 \text{ \AA} \) is approximately: (take \( h = 6.6 \times 10^{-34} \text{ Js} \))CUET 2025 Easy
- Zeolite can be used to soften hard water when :CUET 2023 Hard
- 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
- Which of the following are first order linear differential equations?
(A)\(\frac{d x}{d y}+P_1(y) x=Q_1(y): P_1(y)\) and \(Q_1(y)\) are functions of y or constant functions
(B)\(\frac{d y}{d x}+P_2(x) y=Q_2(x): P_2(x)\) and \(Q_2(x)\) are functions of a or constant functions
(C)\((x+y) \frac{d y}{d x}=x-2 y\)
(D)\(\left(1+x^2\right) \frac{d y}{d x}-2 x y=x^2+3\)
Choose the correct answer from the options given below:CUET 2025 Easy - The value of a determinant is unaltered if:CUET 2023 Medium
- The sweet smelling compound \(\text{[D]}\) is:
(1) Acid anhydride
(2) Acyl halide
(3) Aldehyde
(4) Ester
Explanation: The reaction between a carboxylic acid and an alcohol in the presence of acid
is Esterification. The product \(\text{[D]}\) is Methyl Acetate, which is an \textbf{Ester}.
Answer: (4)CUET 2023 Hard