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Unit 1 consists of two chapters. These are: ‘Relations and Functions’ and ‘Inverse Trigonometric Functions’. Together these chapters contribute to a maximum of 10 marks.
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) |
– |
Important topics:
- Determine whether a given relation is reflexive/symmetric/transitive/equivalence (or not) and related deductions like finding the set of all elements related to 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]
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INVERSE TRIGNOMETRIC FUNCTIONS
Important topics:
- Evaluation of principal value of a given trigonometric function
- Proving a given relation using properties of inverse trigonometric functions
Questions asked in previous years:
![m6 m6](https://i1.wp.com/blog.meritnation.com/wp-content/upLoads/m6.png?resize=434%2C375)
To help our students do their best in their exams, Meritnation.com offers Previous Year Solved Board Paper Solutions .If you are a registered user you can CLICK HERE for free access. Non Registered users can register by clicking on the link below
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Wish you all the very best for your Mathematics Exam.
Best of luck!
Team Meritnation
Add Comment Total Comments (3)
1. MERITNATION IS USELESS | March 19th, 2014 at 10:09 pm
nice time to post this blog. Why didnt u post it after the exam
2. ayushikhandelwal | March 19th, 2014 at 7:45 pm
2 chapter r not enough to pass dude!
3. Ramlal | March 19th, 2014 at 5:49 pm
Thank you for providing !!!
Comment