Linear Programming graphical method ka chapter hai — constraints plot karo, corner points par optimize karo. 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 — Linear Programming
- Objective function: Z = ax + by
- Constraints: linear inequalities
- Feasible region: saari constraints ka common region
- Corner point method: har vertex par Z evaluate karo
- Max/min corner points par hi hota hai
- Bounded region: max aur min dono exist
- Unbounded: check karna padta hai (open half-plane test)
- x ≥ 0, y ≥ 0 non-negativity constraints
Quick Revision Points
- Graph accurately banao — intersection points hi corner points hain
- Table banake har corner par Z likho
- Unbounded region mein solution verify karo
- Rationalised syllabus mein word problems hat gaye — graphical solution par focus
- 5-6 marks ka guaranteed scoring chapter hai
📘 Complete Visual Notes + Formula Sheet PDF
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FAQ
LPP mein galti kahan hoti hai?
Region shade karne mein — PDF mein test-point method se sahi side identify karna sikhaya hai.
Kitna time lagana chahiye?
Ek din kaafi hai — method fix hai, bas practice chahiye.
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