NCERT Class 12 Maths Solutions

Comprehensive Guide with Theory, Solved Problems & Exam Prep

📚 Chapter-wise Solutions

(Click links to access resources)

📊 Exam Analytics

• High-Weightage Chapters:

  • Integrals (15 marks)

  • Applications of Derivatives (12 marks)

  • Probability (10 marks)

• CBSE Focus Areas:

  • 5-mark questions: Maxima/Minima, Differential Equations

  • 2-mark questions: Matrix algebra, Vector properties

🎯 Key Features

✔ Concept Maps: Visual summaries for theorems and formulas
✔ Solved Examples: 150+ NCERT and PYQ problems with step-by-step solutions
✔ Interactive Tools:

• Graph Plotter for Calculus

• Matrix Calculator
  ✔ Exam Kit:

• 10+ Sample Papers (CBSE pattern)

• Quick Revision Notes

📝 Sample Solution (Chapter 6: Applications of Derivatives)

Q: Find the intervals in which �(�)=�3−12�f(x)=x3−12x is increasing/decreasing.
A:

1. Find �’(�)=3�2−12f’(x)=3x2−12.

2. Critical points: $x=\pm 2$.

3. Increasing: $x\in (-\infty ,-2)\cup (2,\infty )$
   Decreasing: $x\in (-2,2)$.

🚀 Beyond NCERT

• Advanced Problems: [JEE Main Archive]

• Real-world Apps:

  • Calculus in Economics (Video)

  • Probability in AI (Case Study)

❓ FAQs

Q: How to score full marks in 6-mark integration questions?
A: Use our [Step-by-Step Framework] covering substitution, partial fractions, and verification.

Q: Are derivations important for CBSE?
A: Yes! Focus on:

• Continuity proofs

• Lagrange’s Mean Value Theorem

Q: Best resource for 3D Geometry?
A: Try our [Interactive 3D Models] for visualizing planes and angles.

📌 Pro Tips

• Memorize: Integration formulas (Chapter 7) and Probability rules (Chapter 13).

• Practice Daily: 2-3 problems from each chapter.

• Use Visual Aids: For Vector Algebra and 3D Geometry.