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CBSE Class 12 Maths: Important Tips and Topics for Finals
Meritnation|Feb 19th, 2016 04:29pm
Finals are inching closer every day bringing along the much dreaded exam anxiety. Students are engrossed in their books and revision notes, reading the chapters and practicing questions. Practicing becomes all the more important when it comes to Maths.
To help you prepare and score best in CBSE Maths, our team of experts at Meritnation have compiled a list of very useful tips to study productively, without wasting much time. These strategies are so effective that if you follow them religiously, you’ll surely get flying results!
RECOMMENDED RESOURCES: Revision Notes | Sample Papers | Textbook Solutions | Ask & Answer
Chapter 1 – Relations and Functions
This chapter has the weightage of 10 marks, one 6 marks question is expected to come from this topic.
Important Topics:
1. Types of Relations
2. Composition of Two Functions
3. Invertible Functions
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MERITNATION TIPS: a) The frequently asked questions are from these chapters based on “Equivalence relation” and “Composition of Function”. b) To achieve 90% and above in the examination students are supposed to do R.D sharma and other reference books c) Practise as many questions as possible. d) Domain and range take important part in this chapter, so do as many as questions on this. Class 11th chapter 2 is foundation for this chapter, so just go through it. |
Chapter 2 – Inverse Trigonometric Functions
This is foundation for “TRIGONOMETRY” and many other chapters, skipping this chapter can cost you.
Important Topics:
1. Properties of Inverse Trigonometric Functions
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MERITNATION TIPS: a) Write down the domain and range of all trigonometric functions (inverse of them as well) and their graphs on a paper. Put this paper on your wall and revise them on daily basis. b) Trust us learning all these will help you a lot to get good marks. c) Try questions based on this chapter from NCERT, examples and other reference books. |
Chapter 3 – Matrices
This is completely new and interesting chapter for students. It has a weightage of about 5 marks. Two 1 mark questions and one 4 mark question are expected to come.
Important Topics:
1. Multiplication of Matrices and Related Properties
2. Symmetric and Skew Symmetric Matrices
3. Finding Inverse of a Matrix Using Elementary Transformations
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MERITNATION TIPS: a) Two important areas here are “Symmetric and Skew Symmetric Matrices” and “Finding Inverse of a Matrix Using Elementary Transformations”. b) Most of the students get stuck with “Matrix Elementary Transformation” questions. We advise you to attempt question based on this topic after completion of all other questions. c) If you get stuck at some question, just mark it cross and do all over again on the next page. |
Chapter 4 – Determinants
This is completely new and interesting chapter for students. It has a weightage of about 5 marks. One 4 mark (probably on determinants), one 6 mark question (probably on finding inverse of of a matrix) expected to come in exam.
Important Topics:
1. Properties of Determinants
2. Adjoint and Inverse of a Matrix
3. Solution of System of Linear Equations
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MERITNATION TIPS: a) Since this chapter is long enough, all of the questions cannot be practised right before the exams, so mark the questions in which you get stuck or you find important, do them again and again. b) Practice a variety of questions from this topic to gain speed. |
Chapter 5 – Continuity and Differentiability
The chapter is important because it is prerequisite to the other chapters of Calculus. Also it fetches 2-3 questions in the examination.
Important Topics:
1. Continuity of a Function
2. Logarithmic Differentiation
3. Differentiation of Functions in Parametric Form
4. Second Order Derivatives
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MERITNATION TIPS: a) This chapter is very important for the students who want to go for engineering entrance examinations. b) Graphs of the trigonometric functions, logarithmic, and exponential should at the tip. c) Some are advised to do application questions based on “Rolle’s Theorem” and “Mean Value Theorem” (For this learning of geometrical meaning of theorems would be helpful). d) Do previous years papers and questions from different reference books. |
RECOMMENDED RESOURCES: Revision Notes | Sample Papers | Textbook Solutions | Ask & Answer
Chapter 6 – Application of Derivatives
This is bit tricky chapter, though few sections here are very easy and scoring (Tangents and Normals to Curves and Approximations Using Differentials). This chapter has a weightage of about 12 marks. Observing previous years question papers, it has been noted that one question of 6 marks comes from the topic “Application of Maxima Minima”.
Important Topics:
1. Rate of Change of Quantities
2. Increasing and Decreasing Functions
3. Tangents and Normals to Curves
4. First and Second Derivative Tests for Finding Points of Local Maxima and Minima
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MERITNATION TIPS: a) Students need to read the question properly, sometimes the questions asked in indirect way. b) Practise as many questions as possible. c) Do previous years papers. |
Chapter 7 – Integrals
This is the lengthiest and the most scoring chapter in all. All of the sections are important, since one exercise is base for the other. One cannot skip even a small topic.
Important Topics:
1. Integration by the Method of Substitution
2. Integration by the Method of Partial Fractions
3. Integration by Parts
4. Definite Integral as Limit of a Sum
5. Properties of Definite Integrals
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MERITNATION TIPS: a) One question from definite integrals is assured in the examination, this whole chapter can inch up your marks by very good amount, so you are advised to practise extensively. b) Practice a variety of questions from different topics to gain speed. c) Attempt previous years’ question papers, sample papers and other Model test papers properly within a time frame to help you manage your time during the exam. |
Chapter 8 – Application of Integrals
This chapter is based on integral formulas. So learn the formulas which are widely used in this chapter.
Important Topics:
1. Area under Simple Curves
2. Area Bounded by a Curve and a Line
3. Area Bounded by Two Curves
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MERITNATION TIPS: a) Ensure that figures vis-a-vis the solution be neat and clean and on the relevant page. It is always better to shade the area under the curve. b) Do the calculations, step by step. It will be easier for you to recheck the answer at the end. c) Practice all the questions and the examples of the NCERT textbook. |
Chapter 9 – Differential Equations
Important Topics:
1. Formation of Differential Equations
2. Method of Solving Differential Equations with Variable Separable
3. Homogeneous Differential Equations
4. Linear Differential Equations
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MERITNATION TIPS: a) You must identify the difference between the order and degree of a differential equation. b) Homogeneous differential equation is a very important topic. A question from this topic comes almost in every exam. c) You must know the integral and derivative formulas for solving the differential equations. |
Chapter 10 – Vector Algebra
Important Topics:
1. Scalar Product of Vectors and Projection of Vector on a Line
2. Vector Product of Vectors
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MERITNATION TIPS: a) We suggest that students should not only focus on important topics only but in order to understand the chapter well, they should go through the entire chapter. b) Practise questions from the NCERT textbook and then from reference books. |
Chapter 11 – Three Dimensional Geometry
This chapter is a bit tough chapter and is time consuming.
Important Topics:
1. Direction Cosines and Direction Ratios of Line
2. Equation of a Line
3. Coplanarity of Lines
4. Angle between Two Lines
5. Shortest Distance between Two Skew Lines
6. Equation of a Plane in Normal Form
7. Equation of Plane Perpendicular to Given Vector and Passing through a Given Point
8. Equation of Plane Passing through Three Noncollinear Points
9. Plane Passing through the Intersection of Two Planes
10. Angle between Two Planes
11. Distance of a Point from a Plane
12. Angle between a Line and a Plane
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MERITNATION TIPS: a) Focus on the NCERT textbook examples and problems. b) Write the formulae on a separate sheet and make sure that you revise the same before the exam. c) If you do not have any clue to solve some questions and some time is left out, try to show your effort by writing at least the introductory steps and even sketch out figures if relevant to the questions. d) In case you get stuck while solving any question, don’t panic. Leave appropriate space and don’t even cross out some of the steps that you may have written. This will ensure that even if you don’t find time to solve this question, the examiners will give some marks as stepwise marking system is followed in this exam. |
Chapter 12 – Linear Programming
Important Topics:
1. Graphical Solution of Linear Programming Problems
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MERITNATION TIPS: a) Read and understand the question and try figuring out the important points required to form an equation. b) Make the graph neatly. Mark the points and shade the required region in the graph. c) Do the calculations carefully & avoid mistakes. |
Chapter 13 – Probability
Important Topics:
1. Multiplication Theorem on Probability
2. Independent Events
3. Bayes’ Theorem
4. Random Variable and Its Probability Distribution
5. Mean and Variance of Random Variable
6. Binomial Distribution
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MERITNATION TIPS: a) Students should revise the basics of permutations and combinations before taking up this chapter. b) While solving the problem, do the calculations stepwise and make tables wherever required. c) Practise loads of questions from this chapter including examples and problems from your NCERT textbook. d) While reading the question, try to figure out to which topic of probability it belongs to. e) Write the formulas on a separate sheet so that it is easy to revise before the exam. |
RECOMMENDED RESOURCES: Revision Notes | Sample Papers | Textbook Solutions | Ask & Answer
All the best with your final exams!
Please take a moment to spread these tips with your friends. After all, Knowledge is the only thing that grows when shared! 🙂
Add Comment Total Comments (9)
1. Garima | March 16th, 2019 at 12:20 am
This site helped me so much
2. ammu | March 5th, 2016 at 10:22 pm
thankzzzzz …gud job. get us some important qsts chaptr wise if possible
3. Ramkewal Yadav | February 28th, 2016 at 1:30 pm
Nice site
4. sushma | February 27th, 2016 at 12:44 pm
Very useful tips…It would be better if we get tips for Physics and Chemistry.
5. kalpana | February 24th, 2016 at 11:56 am
gre8…luv it nw i m in 10 but gearing up fa 12 thankaa:)
6. kalpana | February 24th, 2016 at 11:55 am
done!!!@ 🙂
7. Sneha | February 22nd, 2016 at 11:48 pm
can u do this for physics and chemistry too??
8. shreya | February 20th, 2016 at 11:37 pm
THESE ARE REALLY USEFUL TIPS!!
9. kr | February 19th, 2016 at 7:15 pm
thanks
Comment