A relation R in a set A is called _____. If (a_1,a_2) ∈ R, for all a_1, a_2 ∈ A
Explanation
Symmetric Relation Definition
Ek relation R set A par Symmetric tab hota hai jab:
(a1,a2)∈R⟹(a2,a1)∈R,∀a1,a2∈A
Example
Agar A={1,2,3} aur R symmetric hai:
Other Conditions
-
Reflexive:
-
Transitive:
(a,b)∈R and (b,c)∈R⟹(a,c)∈R
Final Answer: Khali jagah mein Symmetric aayega agar condition (a1,a2)∈R⟹(a2,a1)∈R di gayi ho.
Explanation
Symmetric Relation Definition
Ek relation R set A par Symmetric tab hota hai jab:
(a1,a2)∈R⟹(a2,a1)∈R,∀a1,a2∈A
Example
Agar A={1,2,3} aur R symmetric hai:
Other Conditions
-
Reflexive:
-
Transitive:
(a,b)∈R and (b,c)∈R⟹(a,c)∈R
Final Answer: Khali jagah mein Symmetric aayega agar condition (a1,a2)∈R⟹(a2,a1)∈R di gayi ho.
