CUET · MATHS · PYQ PAPER 2023
In a linear programming problem, the constraints on the decision variables \(x\) and \(y\) are \(x-3 y \geq 0, y \geq 0,0 \leq x\) \(\leq 3\). The feasible region :
- A is not in the first quadrant
- B is bounded in the first quadrant
- C is unbounded in the first quadrant
- D does not exist
Answer & Solution
Correct Answer
(B) is bounded in the first quadrant
Step-by-step Solution
Detailed explanation
Vertices of the feasible region are: \(x=0, y=0 \implies (0,0)\) \(x=3, y=0 \implies (3,0)\) \(x=3, x=3y \implies 3=3y \implies y=1 \implies (3,1)\) The feasible region is a triangle with vertices \((0,0), (3,0), (3,1)\). This region is bounded and lies entirely in the first…
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 solution of the differential equation \(\frac{d y}{d x}=\frac{6}{x^2} ; y(1)=3\) is :CUET 2023 Hard
- The system of equations
\(\begin{aligned} & x-3 y-8 z=-10 \\ & 2 x+5 y+\lambda z=13 \\ & 3 x+y-4 z=0\end{aligned}\)
has infinite number of solutions if the value of \(\lambda\) is equal to:CUET 2025 Easy - 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
- Let \(A=\left[a_{i j}\right]\) be a square matrix, where \(a_{i j}=\left\{\begin{array}{ll}0, & \text { when } i=j \\ 1, & \text { otherwise }\end{array}\right.\)
If \(|\operatorname{adj} A|=|A|^2\), then which of the following statements are correct?
(A) A is a skew-symmetric matrix.
(B) A is a non-singular matrix.
(C) A is a square matrix of order 4.
(D) A is a symmetric matrix.
Choose the correct answer from the options given below :CUET 2025 Hard - Match List-l with List-ll
Choose the correct answer from the options given below :List-l (Matrix A) List-ll (Determinant of adjA) (A) \(\left[\begin{array}{cc}2 & 1 \\ -1 & 2\end{array}\right]\) (I) 3 (B) \(\left[\begin{array}{ll}3 & 4 \\ 3 & 6\end{array}\right]\) (II) 6 (C) \(\left[\begin{array}{cc}3 & 7 \\ -2 & -4\end{array}\right]\) (III) 5 (D) \(\left[\begin{array}{ll}4 & 3 \\ 3 & 3\end{array}\right]\) (IV) 2 CUET 2025 Medium - Match List-I with List-II
List-I List-II (A) The degree of differential equation \(\frac{d^3 y}{d x^3}=e^{\frac{d y}{d x}}\) (I) 2 (B) The order of differential equation \(\left(\frac{d y}{d x}\right)^2+\frac{d^3 y}{d x^3}=0\) (II) 4 (C) The sum of order and degree of differential equation \(\frac{d}{d x}\left(\frac{d^2 y}{d x^2}\right)+\left(\frac{d y}{d x}\right)^5=x\) (III) not defined (D) The number of arbitrary constants in the general solution of a differential equation of order 2 (IV) 3
Choose the correct answer from the options given below :CUET 2025 Medium
More PYQs from CUET
- The synthesis of alkyl fluoride is best accomplished by the following reaction:
\(CH_3Br + AgF\rightarrow CH_3F + AgBr\)
The reaction is termed as:CUET 2023 Hard - \(y=\log _e\left(\frac{1-x^2}{1+x^2}\right)\), then \(\frac{d y}{d x}\) is equal to:CUET 2023 Hard
- Read the paragraph given below and answer the question.
If a person is born with a hereditary disease, can a corrective therapy be taken for such a disease? Gene therapy is an attempt to do this. Gene therapy is a collection of methods that allows correction of a gene defect that has been diagnosed in a child/embryo. Here genes are inserted into a person's cells and tissues to treat disease.
ADA enzyme is crucial for the functioning ofCUET 2023 Hard - In the depletion region of an unbiased p-n junction diode there areCUET 2025 Easy
- Match List-I with List-II
Choose the correct answer from the options given below:List-I (Structure of ether) List-II (Common name) (A) \(C_{6}H_{5}OCH_{2}CH_{3}\) (I) Methyl n-propyl ether (B) \(C_{6}H_{5}O(CH_{2})_{3}CH_{3}\) (II) Methyl phenyl ether (C) \(C_{6}H_{5}OCH_{3}\) (III) n-Heptyl phenyl ether (D) \(CH_{3}OCH_{2}CH_{2}CH_{3}\) (IV) Ethyl phenyl ether (D) \(CH_{3}OCH_{2}CH_{2}CH_{3}\) (IV) Ethyl phenyl ether CUET 2025 Medium - Which one of the following approaches does not belong to ex situ conservation strategy?CUET 2025 Easy