Class XII Mathematics Support Material
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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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Transcript of Class XII Mathematics Support Material
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
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
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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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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MARKING SCHEME
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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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