Students are trying to fix thumb pins on a graph sheet on the class notice board. A relation R is defined on the set A of thumb pins as $$R = \{(P, Q) : P, Q \in A \text{ and distance between } P \text{ and } Q \text{ is less than } 3\text{ cm}\}$$ Determine if $R$ is an equivalence relation.

Year	Paper Code	Set	Position
CBSE 2026	Series 65-7	Set 1	Question 23
CBSE 2026	Series 65-7	Set 2	Question 22
CBSE 2026	Series 65-7	Set 3	Question 25

• Step 1: Stating the fundamental formula / law statement (+1 Mark)
• Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
• Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)