Let a set A=A_1 \cup A_2 \cup . . . . . \cup A_k, where A_i \cap A_j=\phi for i \neq j, 1 \leq j, j \leq k. Define the relation R from A to A by R=\{(x, y): y \in A_i. if and only if .x \in A_i, 1 \leq i \leq k\}. Then, R is : [29-Jun-2022-Shift-1]

Correct Answer is : an equivalence relation.

reflexive, symmetric but not transitive.

reflexive, transitive but not symmetric.

reflexive but not symmetric and transitive.

JEE Main 29 June 2022 Shift 1 Solved Paper

Section: Mathematics

Question : 11 of 90

Marks: +1, -0

Let a set A=A1∪A2∪.....∪Ak, where Ai∩Aj=φ for i≠j,1≤j,j≤k. Define the relation R from A to A by R={(x,y):y∈Ai. if and only if .x∈Ai,1≤i≤k}. Then, R is :

[29-Jun-2022-Shift-1]

reflexive, symmetric but not transitive.
reflexive, transitive but not symmetric.
reflexive but not symmetric and transitive.
an equivalence relation.

Validate

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