CUET · MATHS · PYQ PAPER 2025
The solution set of the inequality \(3 x+5 y<4\) is
- A an open half plane not containing the origin
- B an open half plane containing the origin
- C the whole \(x y\)-plane not containing the line \(3 x+5 y=4\)
- D a closed half plane containing the origin
Answer & Solution
Correct Answer
(B) an open half plane containing the origin
Step-by-step Solution
Detailed explanation
Substitute \( (0,0) \) into the inequality: \( 3(0)+5(0) The origin is included, and the inequality uses \( < \), so it's an open half-plane containing the origin.
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
- Two pipes A and B can fill a tank in 5 hours and 6 hours respectively. Pipe C can empty the tank in 12 hours. If all three pipes are opened together, find the time taken to fill the tankCUET 2025 Hard
- The value of the determinant \(\left|\begin{array}{ccc}85 & 15 & 30 \\ 1 & 3 & 4 \\ 17 & 3 & 6\end{array}\right|\) is:CUET 2023 Easy
- The integral \(\int e^x\left(1+\frac{1}{x}+\log x\right) d x\) is equal to:CUET 2023 Medium
- If \(\theta\) is the angle between two unit vectors \(\hat{a}\) and \(\hat{b}\) then \(|\hat{a}-\hat{b}|=\)CUET 2025 Hard
- If A is a square matrix of order 3 such that A(adj A) = \(\left[\begin{array}{ccc}-2 & 0 & 0 \\ 0 & -2 & 0 \\ 0 & 0 & -2\end{array}\right]\), then \(|A|\) is equal toCUET 2025 Easy
- A problem in Mathematics is given to two students \(X\) and \(Y\) whose chances of solving it are \(\frac{1}{3}\) and \(\frac{1}{4}\) respectively. The probability that only \(X\) solves the problem, is:CUET 2025 Hard
More PYQs from CUET
- Which of the given values of x and y make the following pair of matrices equal?
\(\left[\begin{array}{cc}3 x-2 & y-x \\ 20 & -2\end{array}\right]\) and \(\left[\begin{array}{cc}4 & 2 \\ 14 x-8 & y-6\end{array}\right]\)CUET 2023 Easy - Why do the actinoids exhibit a higher number of oxidation states than lanthanoids?CUET 2024 Medium
- Different stages of oogenesis are given below. Arrange them in the sequence of their occurrence
A. Completion of first meiotic division of primary oocyte
B. Release of ovum from the ovary.
C. Primary oocyte in the primary follicle formation.
D. Graafian follicleCUET 2023 Hard - Let \(x\) denote the number of doublets in three throws of a pair of dice with the following probability distribution.
If value of \(k\) is equal to \(\frac{m}{n}, \operatorname{gcd}(m, n)=1\), then \(m+n\) is equal to\(x\) \(0\) 1 2 3 \(P(x)\) \(\frac{25}{72} k\) \(\frac{15}{72} k\) \(\frac{3}{72} k\) \(\frac{1}{360} k\) CUET 2025 Medium - The rate of decomposition is controlled by:CUET 2023 Easy
- The large holes in 'Swiss Cheese' are due to the production of a large amount of CO2 by a bacterium named asCUET 2023 Medium