meritnation.com

Class XII Maths-Important Questions in Unit 1

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

  1. 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]
  2. 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]
  3. m1[1 Marks, 2010]
  4. 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]
  5. m2[1 Marks, 2009]
  6. m3[4 Marks, 2009]
  7. m4[4 Marks, 2008]

m5

Inverse Trigonometric Functions

  • 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

Best of luck!
Team Meritnation

Add Comment Total Comments (18)

  • 1. bhuvana  |  July 7th, 2013 at 11:15 am

    its very useful

  • 2. indunarayan  |  June 14th, 2013 at 5:57 pm

    nice..guidence 4 the students…

  • 3. CBSE Result 2013  |  March 24th, 2013 at 5:56 pm

    It is the most interesting way to get a list of CBSE examination model papers. I really appreciate your effort and work that you have done for us.
    Blessed!

  • 4. garima  |  March 19th, 2013 at 3:44 pm

    kya grnte hai ki yahi q aaye gye

  • 5. Nishanth  |  February 21st, 2013 at 3:57 pm

    Thanks a lot

  • 6. Nishanth  |  February 21st, 2013 at 3:54 pm

    It is very useful to me

  • 7. Renu  |  December 29th, 2012 at 3:13 pm

    bt,kya gurantee h,k iss me se hi board me puche gay!??

  • 8. Renu  |  December 29th, 2012 at 3:12 pm

    Thankx a lot………………………………….

  • 9. manvi jain  |  November 19th, 2012 at 10:06 am

    crash board with meritnation

  • 10. manvi jain  |  November 19th, 2012 at 10:06 am

    crash board with meritnation

  • 11. sandeep  |  November 5th, 2012 at 9:53 am

    very useful site for students

  • 12. Deepali Domble  |  September 23rd, 2012 at 7:29 pm

    Very useful

  • 13. Shivani  |  September 13th, 2012 at 8:18 am

    it is a great site nd helps a lot
    thanks

  • 14. Ravi  |  August 27th, 2012 at 11:12 pm

    i think meritnation is the Best site for student.

  • 15. manojrajput  |  May 21st, 2012 at 6:35 pm

    thanx

  • 16. shrey sharma  |  May 10th, 2012 at 10:17 pm

    nice guidance for the syudents!!!,
    bt,kya gurantee h,k iss me se hi board me puche gay!??

  • 17. shubham m  |  March 21st, 2012 at 6:56 pm

    thanx a lot!

  • 18. adithya sreekandan  |  March 21st, 2012 at 1:46 pm

    very useful. thanks ‘team meritnation’.

Comment

*
*
*
Some HTML allowed:
<a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <strike> <strong>