Relations and Functions Class 11 Maths Notes – Formulas & Quick Revision

Relations and Functions mein cartesian product, domain-range aur function types aate hain — Class 12 ke functions ka base. Yahan aapko is chapter ke sabse important formulas aur quick revision points free milte hain — NCERT/CBSE syllabus ke hisaab se, boards aur JEE/NEET dono ke liye.

Important Formulas & Concepts — Relations and Functions

• n(A×B) = n(A) × n(B)
• Relations from A to B = 2^(mn)
• Function: har element ki exactly ek image
• Domain of √f(x): f(x) ≥ 0; domain of 1/f(x): f(x) ≠ 0
• (f+g)(x) = f(x)+g(x); (fg)(x) = f(x)·g(x)
• Modulus function: |x| ≥ 0, V-shape graph
• Greatest integer [x]: step graph
• Signum: −1, 0, 1

Quick Revision Points

• Har function relation hai, par har relation function nahi
• Domain-range nikalna sabse common question hai
• Graphs rato: identity, constant, modulus, GIF, signum
• Range nikalne ke liye y = f(x) ko x ke terms mein solve karo
• R = {(a,b): condition} type questions mein roster form likh ke check karo

FAQ

Domain-range kaise strong karun?

PDF mein har standard function ka graph + domain-range table ek saath diya hai.

Ye Class 12 mein kaam aayega?

Haan — Class 12 Relations & Functions aur Calculus isi par bane hain.

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