*Meritnation*|*Mar 21st, 2012 12:04pm*

According to CBSE, the structure of the mathematics board examination is as follows:

Unit |
Chapter |
Marks |

I |
Relations and Functions Inverse Trigonometric Functions |
10 |

II |
Matrices Determinants | 13 |

III |
Continuity and differentiability Applications of derivatives Integration Application of Integrals Differential Equations |
44 |

IV |
Vectors 3-dimensional Geometry | 17 |

V |
Linear Programming |
6 |

VI |
Probability |
10 |

Total |
100 |

**Mathematics paper** consists of 29 questions divided into three sections A, B and C. Section A comprises of 10 questions of one mark each, Section B comprises of 12 questions of four marks each, and Section C comprises of 7 questions of six marks each.

All questions in section A are to be answered in one word, one sentence or as per the exact requirements of the question.

There is no overall choice. However, internal choice will be provided in 4 questions of four marks each and 2 questions of six marks each. You have to attempt only one of the part in all such questions.

We at Meritnation have analysed the question papers of the last five years. Our study has revealed some trends and patterns which we would like to share with you to enable you prepare in the right direction.

In this article, we will focus on Unit I and present a detailed preparation strategy for you.

**UNIT 1 10 marks
Question pattern:**

Unit 3 |
Chapter |
VSA |
SA |
LA |
Total |

1. (a) | Relations and Functions | 1(1) | 4(1) | — | 10(4) |
---|---|---|---|---|---|

1. (b) | Inverse Trigonometric Functions | 1(1) | 4(1) | — |

**OR**

Unit 3 |
Chapter |
VSA |
SA |
LA |
Total |

1. (a) | Relations and Functions | – | 4(1) | — | 10(4) |
---|---|---|---|---|---|

1. (b) | Inverse Trigonometric Functions | 2(2) | 4(1) | — |

We have sorted out important topics on each chapter as given in the above table. You are advised not to miss the topics/areas we are suggesting so that you score the maximum in the ensuing boards exam. The topics/areas are:

**Relations and Functions **

- Determine whether a given relation is reflexive/symmetric/transitive/equivalence (or not) and related deductions like finding the set of all elements related with a particular element (Equivalence class)
- Identifying a given function as injective, surjective or bijective/invertible (or not)
- Composition of two given functions
- Formation of binary operation table for a given binary operation, and also showing the binary operation as commutative, associative (or not)
- Finding the identity element for a binary operation (if exists) and also finding inverse of an element.

**Questions asked in previous years**

- State the reason for the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} not to be transitive.
**[1 mark, 2011]** - Consider the binary operation * on the set {1, 2, 3, 4, 5} defined by a * b = min. {a, b}. Write the operation table of the operation *.

**[4 marks, 2011]** - [
**1 Marks, 2010**] - Show that the relation S in the set A = {x ∈ Z: 0 ≤ x ≤ 12} given by S = {(a, b): a, b ∈ Z, |a − b| is divisible by 4} is an equivalence relation. Find the set of all elements related to 1. [
**4 marks, 2010**] - [
**1 Marks, 2009**] - [
**4 Marks, 2009**] - [
**4 Marks, 2008**]

**Inverse Trigonometric Function**s

- Evaluation of principal value of a given trigonometric function
- Proving a given relation using properties of inverse trigonometric functions

**Questions asked in previous years**

Best of luck!

Team Meritnation

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