maths(class xii)

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SUBJECT: MATHEMATICS CLASS :XII OUR PATRON MR. SOMIT SRIVASTAV, DEPUTY COMMISSIONER (KVS RO SILCHAR) ADVISOR MR. R.SENTHIL KUMAR,ASSISTANT COMMISSIONER (KVS RO SILCHAR) MR.T.P.GAUR , ASSISTANT COMMISSIONER (KVS RO SILCHAR) MATERIAL REVISED AND EDITED FOR 2014-15 BY MR.RAJEEV RANJAN PRINCIPAL K.V.LUNGLEI MR. YOGENDRA SINGH,P.G.T MATHEMATICS K.V.KARIMGANJ (ASSAM) KENDRIYA VIDYALAYA SANGATHAN REGIONAL OFFICE SILCHAR YEAR 2014-2015

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Page 1: Maths(Class XII)

SUBJECT: MATHEMATICS

CLASS :XII

OUR PATRON MR. SOMIT SRIVASTAV, DEPUTY COMMISSIONER (KVS RO SILCHAR)

ADVISOR MR. R.SENTHIL KUMAR,ASSISTANT COMMISSIONER (KVS RO SILCHAR)

MR.T.P.GAUR , ASSISTANT COMMISSIONER (KVS RO SILCHAR)

MATERIAL REVISED AND EDITED FOR 2014-15 BY MR.RAJEEV RANJAN PRINCIPAL K.V.LUNGLEI MR. YOGENDRA SINGH,P.G.T MATHEMATICS K.V.KARIMGANJ (ASSAM)

KENDRIYA VIDYALAYA SANGATHAN

REGIONAL OFFICE SILCHAR

YEAR 2014-2015

Page 2: Maths(Class XII)

INDEX

Sl. No Topics Page No.

1. Detail of the concepts 5

2. Relations & Functions 10

3. Inverse Trigonometric Functions 16

4. Matrices & Determinants 20

5. Continuity& Differentiability 28

6. Application of derivative 34

7. Indefinite Integrals 40

8. Applications of Integration 47

9. Differential Equations 51

10. Vector Algebra 55

11. Three Dimensional Geometry 62

12. Linear Programming 70

13. Probability 74

14. Answers 80

15. CBSE Sample Paper ( With marking scheme ) 98

16. Practice Sample Papers

17 CBSE Question papers Last three

years

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MARKS DISTRIBUTION

MATHEMATICS (041)

CLASS XII 2013-14

One Paper Three Hours Marks: 100

Units Marks

I. RELATIONS AND FUNCTIONS 10

II. ALGEBRA 13

III. CALCULUS 44

IV. VECTORS AND THREE - DIMENSIONAL GEOMETRY 17

V. LINEAR PROGRAMMING 06

VI. PROBABILITY 10

Total 100

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4

Topic wise Analysis of Examples and Questions

NCERT TEXT BOOK

Chapters Concepts Number of Questions for Total

revision

Questions Questions

From Solved From

Examples Exercise

01 Relations & Functions 15 25 40

02 Inverse Trigonometric Functions 05 09 14

03 Matrices & Determinants 06 25 31

04 Continuity& Differentiability 08 21 29

05 Application of Derivative 06 14 20

06 Indefinite Integrals 17 45 62

07 Applications of Integration 05 09 14

08 Differential Equations 07 19 26

09 Vector Algebra 07 18 25

10 Three Dimensional Geometry 07 12 19

11 Linear Programming 09 12 21

12 Probability 19 27 46

TOTAL 111 236 347

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SAMPLE PAPER-I

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*****************00******************

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MARKING SCHEME

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*************************************

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Question paper-CBSE 2012

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Question paper CBSE-2013

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Question paper CBSE-2014

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