SHUBHANGI SHIFA

Ranchi, Jan 12: The Central Board of Secondary Education (CBSE) released the date sheet of the final board examination on the official website for Class 12. According to that, the board examination will begin on February 15, and the Class 12 Mathematics exam is scheduled to take place on March 11, 2023. Students are left with two months to prepare for it accordingly to score higher marks.

To ease the hardships of students, Champs Square’s Vikas Gupta has shared some tips and tricks which can help students in preparing for their upcoming board examinations.

**IMPORTANT TOPICS**

- Equivalence Relation (Relation & Function)
- One-One, Many-One and Onto-Into Function
- Principal Value Branch (Inverse Trigonometry)
- Equality in two Matrices (Matrix)
- Solution of a system of Linear equations by Matrix Method
- Continuity at a point
- Differentiation of Parametric Function, using logarithm & Second derivatives
- Increasing and decreasing Maxima & Minima (Application of derivatives)
- Integration
- Special Integrals
- Partial Fractions
- Integration by parts
- Properties of definite Integrals
- Area under parabola, lines, and Circles (Application of integration)
- Linear equations homogeneous differential equation (Differential Equation)
- Vectors
- Scalar product of two Vectors
- Vector Product of Two vectors
- Equation of line/ Shortest distance
- Probability
- Conditional Probability
- Baye’s theorem
- Independent events
- Treaty Geometry

**IMPORTANT CHAPTERS**

- Matrices and determinants – 10 Marks
- Calculus – 35 Marks
- Vector & 3D- 14 Marks
- Probability- 08 Marks
- Relations & Functions- 08 Marks

**Weightage According to Chapters: Total Marks- 80**

- Unit I – Relation & Function – 08 Marks
- Relations
- Functions
- Inverse Trigonometric function
- Unit II- Algebra: 10 Marks
- Matrices
- Determinants
- Unit III- Calculus- 35 Marks
- Continuity & Differentiability
- Application of Derivation
- Integration
- Application of Integration
- Differential Equation
- Unit IV- Vectors – 14 Marks
- Three-dimensional Geometry
- Unit V: Linear Programming – 05 Marks
- Unit VI: Probability – 08 Marks

**PREPARATION TIPS**

The Class XII Board examinations are based on the syllabus and the books of the National Council of Educational Research and Training (NCERT) and students need to have a deep understanding of it while preparing for the low-difficulty level questions. Application of direct formulas and focus on calculations are the primary areas to cover while preparing for basic-level questions.

To prepare effectively for high-difficulty level mathematics, there should be conceptual clarity and students should thoroughly study every chapter of the NCERT books, while repeatedly practicing extra questions and competency-based questions.

Clarity of the fundamental mathematical operations is the key at any stage of a student’s academic career. The understanding of the basic concepts of the subject should be done diligently and the formulas should be understood and memorized properly.

Students should keep practicing questions and test their comprehension on a constant basis. They should repeatedly practice different questions related to a particular topic and assess through a self-evaluation.