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📐 Mathematics  ·  Relations and Functions (Class 12)  ·  JEE

On the set of lines in a plane, the relation 'is perpendicular to' is:

Answer: Symmetric but neither reflexive nor transitive.

  • A Transitive but not symmetric
  • B Symmetric but neither reflexive nor transitive
  • C An equivalence relation
  • D Reflexive and transitive

Correct answer: B. Symmetric but neither reflexive nor transitive

Explanation: If l ⊥ m then m ⊥ l, but no line is perpendicular to itself, and two lines perpendicular to the same line are parallel, not perpendicular.

Concept context

Types of relations, equivalence classes, one-one and onto functions, composition, and invertible functions

Read the full Relations and Functions (Class 12) notes →