Perpendicular is symmetric but not transitiveलंब होना सममित है, पर संक्रामक नहींPerpendicular hona symmetric hai, par transitive nahi

NCERT Fig 1.1 · Class 12 Maths · Chapter 1 · interactive diagram

Parts and what they mean

• Line L₁ (रेखा L₁) — L₁ ⊥ L₂, so (L₁, L₂) ∈ R — and also (L₂, L₁) ∈ R (symmetric).
• Line L₂ (रेखा L₂) — L₂ is perpendicular to both L₁ and L₃ (right angles marked).
• Line L₃ (रेखा L₃) — L₂ ⊥ L₃, so (L₂, L₃) ∈ R.
• L₁ is parallel to L₃ (L₁, L₃ के समांतर है) — So (L₁, L₃) ∉ R: the chain L₁→L₂→L₃ does not close. R is not transitive.

Original diagram drawn by Simple Learning Hub, based on NCERT Fig 1.1. Report a mistake