CUET · MATHS · PYQ PAPER 2025
Let A = {1, 2, 3}. The number of equivalence relations containing (1, 3) is
- A 1
- B 2
- C 3
- D 5
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
Let A = {1, 2, 3}. The equivalence relation must contain (1, 3). 1. Start with minimum requirements: Reflexivity: \(\{(1,1), (2,2), (3,3)\}\). Given: \((1,3)\). Symmetry: If \((1,3)\) is present, then \((3,1)\) must be present. Transitivity: With…
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 \(e^x+e^y=e^{x+y}\), then \(\frac{d y}{d x}=\)CUET 2025 Medium
- Derivative of \(2 x^2\) with respect to \(5 x^4\) is:CUET 2023 Hard
- If f(x) and g(x) are continuous functions in [0, a] such that f(x) = f(a - x) and g(x)+g(a - x) = a then \(\int_0^a f(x) g(x) d x=\)CUET 2025 Hard
- \(A\) random variable \(X\) has the following probability distribution:
The variance of \(X\) will beX 0 1 2 3 P(X) 0.2 0.1 0.3 0.4 CUET 2025 Hard - If the area above x - axis, bounded by the curves \((y = 3^{\beta x}), \; x = 0\) and \(x = 3\) is \(\frac{(26)}{\log(e)} 3\), then the value of \(\beta\) is:CUET 2025 Easy
- If the present value for a sequence of payments made at the end of each 6 months and continuing forever is ₹6000. If the money is worth 4% compounded semi-annually, then, the value of sequence of payment made is:CUET 2023 Easy
More PYQs from CUET
- The solution set of the inequation \(\frac{7+5 x}{4} \geq \frac{x}{3}-10, x \in R\) is :CUET 2023 Hard
- If \(, A=\left[\begin{array}{ll}x & 3 \\ 2 & 4\end{array}\right], B=\left[\begin{array}{ll}2 & 3 \\ y & 3\end{array}\right]\) and,\(C=\left[\begin{array}{ll}z & 1 \\ 8 & 2\end{array}\right]\) are singular matrices then :
(A) \(x>y\)
(B) \(y>z\)
(C) \(z>x\)
(D) \(x \neq y \neq z\)
Choose the correct answer from the options given below :CUET 2025 Hard - "In the nuclear reaction below, a neutron hits a uranium nucleus.
\( n + ^{235}_{92}\text{U} \rightarrow ^{a}_{54}\text{Xe} + ^{94}_{b}\text{Sr} + 2n \)
The values of a and b are respectively :CUET 2025 Easy - Two point charges of 1 C each are separated from each other by a distance of 1 m in vacuum.
The force of interaction between them is:CUET 2025 Medium - Products not possible from given reaction is :
\(R - CH _2- C ( O )- CH _2- R ^{\prime} \xrightarrow{[ O ]}\)
(A) RCOOH
(B) \(R ^{\prime} CH _2 COOH\)
(C) \(R - CH _2- COOH\)
(D) \(R ^{\prime}- C ( O )- OCH _3\)
Choose the correct answer from the options given below:CUET 2023 Hard - Baculoviruses are pathogen that attack :CUET 2025 Easy