Let L be the set of all lines in a plane and R be the relation in L, defined as R={$(L_1,L_2):L_1$ is perpendicular to $L_2$ } then R is :

A . Reflexive

B. Symmetric

C. Neither reflexive nor transitive

D. Transitive

E. Neither reflexive nor symmetric

B, C only

The correct answer is Option (1) → B, C only

R is not reflexive

as no line is perpendicular to itself

R is symmetric 

as if $(L_1,L_2)∈R⇒L_1⊥L_2⇒(L_2,L_1)∈R$

R is not transitive

as $(L_1,L_2)∈R,(L_2,L_3)∈R⇒L_1⊥L_2$ and $L_2⊥L_3 ⇒ L_1||L_3$

so B, C are only correct