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Relation

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2023
Let A = {1, 2, 3, 4} and R be a relation on the set A × A defined by R = {((a,b),(c,d)) : 2a...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
The number of relations, on the set {1, 2, 3} containing (1, 2) and (2,3), which are reflexive and transitive but not symmetric, is____.
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let A = {0, 3, 4, 6, 7, 8, 9, 10} and R be the relation defined on A such that R = {(x, y)...
JEE Main Mathematics Hard
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Q JEE-Main 2023
Let A={1, 2, 3, 4,.....10} and B = {0, 1, 2, 3, 4}. The number of elements in the relation $...
JEE Main Mathematics Medium
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Q JEE MAIN
Let A={2,3,6,7} and B={4,5,6,8}. Let R be a relation defined on A×B by $(a_1,b_1 )R(a_2,b_2 ) $ is and only if $a_1+a_2=b_1+b_2$. Then the number...
JEE Main Mathematics Hard
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Q JEE-Main 2024
Let the relations $R_1$ and $R_2$ on the set X={1,2,3,…,20} be given by $R_1$={(x,y):2x-3y=2} and $R_2$={(x,y):-5x+4y=0}. If M and N be the minimum number of...
JEE Main Mathematics Hard
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Q JEE MAIN 2024
Let A={1,2,3,4} and R={(1,2),(2,3),(1,4)} be a relation on A. Let S be the equivalence relation on A such that R⊂S and the number of elements...
JEE Main Mathematics Easy
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Q JEE MAIN
Let R be a relation on Z×Z defined by (a,b)R(c,d) if and only if ad-bc is divisible by 5 . Then R is
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let $S=\{1,2,3, \ldots, 10\}$. Suppose M is the set of all the subsets of S , then the relation $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
The number of relations on the set ${\rm{A}} = \{ 1,2,3\} $, containing at most 6 elements including (1,2), which are reflexive and transitive but...
JEE Main Mathematics Hard
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