Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Options:

a

b

c

d

Correct Answer:

a

Explanation:

for $L_1∈L$   $L_1||L_2$ ⇒ (reflexive)

for $(L_1,L_2)∈R$

$L_1||L_2⇒L_2||L_1⇒(L_2,L_1)∈R$  (Symmetric)

for $(L_1,L_2)∈R,(L_2,L_3)∈R$

$L_1||L_2,L_2||L_3⇒L_1||L_3⇒(L_1,L_3)∈R$  (Transitive)

⇒ equivalence relation