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JEE Brief Sets & Relations One Shot Video Lecture - One-Shot Videos
FAQs on JEE Brief Sets & Relations One Shot Video Lecture - One-Shot Videos for JEE
| 1. What are sets in mathematics? |  |
Ans. In mathematics, a set is a well-defined collection of distinct objects, considered as an object in its own right. Sets can contain numbers, letters, or even other sets, and are typically denoted by curly braces, for example, A = {1, 2, 3}.
| 2. How do you represent a relation between two sets? | |
Ans. A relation between two sets A and B is a subset of the Cartesian product A × B. This means that a relation can be expressed as a set of ordered pairs (a, b), where 'a' is an element from set A and 'b' is an element from set B. For instance, if A = {1, 2} and B = {x, y}, a possible relation could be R = {(1, x), (2, y)}.
| 3. What is the difference between a function and a relation? | |
Ans. A function is a special type of relation where every element of the first set (domain) is associated with exactly one element of the second set (codomain). In other words, for each input, there is a unique output. In contrast, a relation can associate one element from the first set with multiple elements in the second set.
| 4. What are the types of relations? | |
Ans. There are several types of relations in mathematics, including reflexive, symmetric, transitive, and antisymmetric relations. A reflexive relation has every element related to itself, a symmetric relation means if a is related to b, then b is related to a, a transitive relation means if a is related to b and b is related to c, then a is related to c, and an antisymmetric relation means if a is related to b and b is related to a, then a must equal b.
| 5. How can you determine if a relation is a function? | |
Ans. To determine if a relation is a function, you can use the vertical line test. If any vertical line drawn through the graph of the relation intersects the graph at most once, then the relation is a function. Alternatively, you can check that each input from the domain corresponds to exactly one output in the codomain.
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Mar 08, 2026 Last updated
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