Relations and Functions · Class 12 Maths · Chapter 1
📐 Relations and Functions
CBSE Class 12 · Mathematics · Chapter 1
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Six free PDFs + an editable PPTX cover every angle of this chapter — read the deck, drill the MCQs, sit the full board paper, then check against the marking scheme.
📖Notes Deck
Full lecture deck with motifs, misconception red-boxes, and Hindi glossary. Read this first.
Download PDF →📝Quick Drill
15 PYQ-tagged MCQs with year + set + marks + per-Q time budget. Drill under 20-min timer.
Download PDF →📄Board Paper
Full CBSE-pattern paper with 4 sections. Sit it closed-book before checking the marking scheme.
Download PDF →✅Marking Scheme + Topper Templates
Model answers + 3 topper-template structures CBSE markers reward with full credit.
Download PDF →⚡Cheat Sheet
1-page exam-day card: formulas, top PYQ patterns, 90-minute revision flow.
Download PDF →👨👩👧For Parents
1-page plain-language parent guide: what's being learned + questions to ask your child.
Download PDF →Top PYQ patterns · CBSE 2017–2024 aggregate
| 95% | Show R is equivalence + list classes — Use the 3-line template R+S+T. Don't skip reflexive. | 5 MARKS |
| 80% | Show f bijective + find f⁻¹ — Prove 1-1 (f(x₁)=f(x₂)⇒x₁=x₂). Prove onto by solving f(x)=y for x. Inverse drops out of onto proof. | 5 MARKS |
| 70% | Find fog, gof — (fog)(x) = f(g(x)). State domains. | 3 MARKS |
| 60% | Check reflexive/symmetric/transitive separately — Counter-example suffices to disprove any of the three. | 3 MARKS |
| 40% | Find inverse of (ax+b)/(cx+d) — Set y = f(x), solve for x in terms of y, swap labels. | 3 MARKS |
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