CUET · MATHS · PYQ PAPER 2023
According to the graph drawn here, identify the constraints of the associated linear programming problem :
- A \(x, y \geq 0, \quad x+2 y \geq 10, \quad 3 x+4 y \geq 24\)
- B \(x, y \geq 0, \quad x+2 y \leq 10, \quad 3 x+4 y \leq 24\)
- C \(x, y \geq 0, \quad x+2 y \leq 10, \quad 3 x+4 y \geq 24\)
- D \(x, y \geq 0, \quad x+2 y \geq 10, \quad 3 x+4 y \leq 24\)
Answer & Solution
Correct Answer
(A) \(x, y \geq 0, \quad x+2 y \geq 10, \quad 3 x+4 y \geq 24\)
Step-by-step Solution
Detailed explanation
Identify line 1 through (10,0) and (0,5): \( x + 2y = 10 \). Identify line 2 through (8,0) and (0,6): \( 3x + 4y = 24 \). Shaded region is above both lines: \( x+2y \geq 10 \) and \( 3x+4y \geq 24 \). Shaded region is in the first quadrant: \( x \geq 0, y \geq 0 \). Constraints:…
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
- Match List-l with List-ll
Choose the correct answer from the options given below :List-l List-ll (A) \(\cos ^{-1} x+\cos ^{-1}(-x)\) (I) \(\frac{\pi}{3}\) (B) \(\operatorname{cosec}^{-1}(-x)+\sec ^{-1}(-x)\) (II) \(-\frac{\pi}{3}\) (C) \(\tan ^{-1} \sqrt{3}-\sec ^{-1}(-2)\) (III) \(\pi\) (D) \(\tan ^{-1}\left(\tan \frac{4 \pi}{3}\right)\) (IV) \(\frac{\pi}{2}\) CUET 2025 Medium - The value of \(\int_0^1 \log _e\left(\frac{1}{x}-1\right) d x\) is :CUET 2025 Hard
- If \(A =\left(\begin{array}{cc}-a & b \\ c & a\end{array}\right)\) and \(A ^2= I\), where \(I\) is an Identity matrix of order 2, then which of the following is correct?CUET 2023 Easy
- If a sample has \(n\) observations \(x_1, x_2, \ldots, x_n\) with \(m\) constraints on these values, then the degree of freedom of the sample statistic is:CUET 2025 Medium
- For the function \(f(x)=e^x+e^{-x}\)
(A) \(f^{\prime}(x)=e^x-e^{-x}\)
(B) The critical point is \(x=0\)
(C) The minimum value is 1
(D) \(x=0\) is the point of local minimum.
Choose the correct answer from the options given below:CUET 2025 Hard - The area (in sq. units) of the region bounded by the line \(2 y+x=8\), the \(x\)-axis and the lines \(x=2\) and \(x=4\) isCUET 2025 Hard
More PYQs from CUET
- A solution of copper sulphate cannot be stored in zinc vessel because:CUET 2023 Medium
- Which of the following statements are correct?
A. The various lines in the atomic spectra are produced when electrons jump from higher energy state to a lower energy state.
B. An accelerated atomic electron must spiral into the nucleus as it losses energy.
C. Rutherford scattering determines an upper limit to the size of the nucleus.
D. Angular momentum of the electron orbiting around the nucleus is not quantised.CUET 2023 Easy - For the objective function \(Z = 4x + 6y\) subject to the constraints
\(3x + 2y ≥ 5, 7x + 2y ≤ 9, x ≥ 0, y ≥ 0\),
the maximum value of Z occurs at (a, b)
and the minimum value of Z occurs at (p, q)
then the value of \(\frac{a}{p}+\frac{b}{q}\) is:CUET 2025 Hard - The value of b , for which the function \(f(x)= \begin{cases} 5x - 4, & 0 < x \leq 1 \\ 4x^2 + 3bx, & 1 < x < 2 \end{cases}\), is continuous at every point of its domain is :CUET 2023 Easy
- The sensitivity of a potentiometer can be increased by:CUET 2023 Medium
- Match List-I with List-II
List-I List-II (A) Output always opposite of input (I) NOR (B) Output 1 only when all inputs are 0 (II) NAND (C) Output 0 only when all inputs are 1 (III) OR (D) Output 1 when all inputs are 1 (IV) NOT
Choose the correct answer from the options given below:CUET 2023 Easy