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Way to Success
MATHS
PUBLIC EXAM SPECIAL GUIDE
Prepared by
Mr. K. Dinesh M.Sc., M.Phil., P.G.D.C.A., Ph.D.,
------For subject related clarifications-----Mail us: dinesh.skksv93@ &
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1
Government Question Pattern
Section
Qn. No
Question Type
Section A 1 ? 40 Choose the best answer (1 mark questions)
Section B
41 ? 54 55
6 Mark questions 6 Mark Compulsory question ("either or" form)
Section C
56 ? 69 70
10 Mark questions 10 Mark Compulsory question ("either or" form)
Given Questions
To be written
Marks
40 40 40
14
9 54
2
1
6
14
9 90
2
1 10
72 60 200
Chap. No
1 2 3 4 5
6
7
8 9 10
Chapter
Application of Matrices and Determinants Vector Algebra Complex Numbers Analytical Geometry Differential Calculus: Applications I Differential Calculus: Applications II Integral Calculus : Applications Differential Equations
Discrete Mathematics
Probability Distributions
Total
Blue Print
One marks
Six marks
Ten marks
No. of Qn Marks No. of Qn Marks No. of Qn Marks
4
4
2
12
1
10
6
6
2
12
2
20
4
4
2
12
1
10
4
4
1
6
3
30
4
4
2
12
2
20
2
2
1
6
1
10
4
4
1
6
2
20
4
4
1
6
2
20
4
4
2
12
1
10
4
4
2
12
1
10
40
40
16
96
16
160
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2
Dear students ...Greetings
You have ,,Way to Success Easy way Maths guide now in your hands. This guide is not written like other usual guides. There is a huge difference between this guide and
other guides. This guide will help the students understand the concepts clearly and make them to score very high marks. This guide gives you the exact answers for textbook questions, previous years Govt. Examination questions and additional questions.
Tips to slow learners:
Believe in yourself that you can get good marks if you do practice and hard work. Study the following chapters should well practiced
One mark ? 271 Book back questions (Volume I ? 121 questions, Volume II ? 150 questions) Six Marks ? 1.Applications of Matrices and Determinants,
3. Complex Numbers 9. Discrete Mathematics Ten Marks ? 2. Vector Algebra, 3. Complex numbers, 4. Analytical Geometry, 6. Differential Calculus Applications II , 8. Differential Equations (Applications Question 10 only) 9. Discrete Mathematics Try to follow the above tips and score more in MATHS . Wish you all the best.
CONTENT
1 Mark 6 Mark 6 Mark 6 Mark 10 Mark 10 Mark 10 Mark 10 Mark 10 Mark 10 Mark
Chapter Book Back Questions (All Chapters) Application of Matrices and Determinants Complex Numbers Discrete Mathematics Vector Algebra Complex Numbers Analytical Geometry Differential Calculus: Applications II Differential Equations
Discrete Mathematics
Page Number 4 25 31 39 45 54 58 76 80
83
- Marked sums are creative questions asked in the Public exams
3
12th Maths
Public Exam Special Guide
Way to Success
Section ? A (1 Marks) 1. APPLICATIONS OF MATRICES AND DETERMINANTS
1 -1 2
1. The rank of the matrix 2 -2 4 is
4 -4 8
(1) 1
(2) 2
(3) 3
(4) 4
(OCT-11)
2. The rank of the diagonal matrix
(MAR-10, JUN-16)
(1)0
(2)2
(3)3
(4)5
3. If = 2 0 1 , then the rank of is
(OCT-06,MAR-08,JUN-09,MAR-11, OCT-15)
(1)1
(2)2
(3)3
(4)0
1 4. If = 2 , then the rank of is
3
(1)3
(2)0
(3)1
(MAR-09, JUN-13,OCT-14,16) (4)2
-1 0
5. If the rank of the matrix 0 -1 is 2, then is
-1 0
(1) 1
(2)2
(3)3
(JUN-08,OCT-09,JUN-11,OCT-15) (4) any real number
6. If A is a scalar matrix with scalar 0, of order 3, then -1 is
(OCT-07,MAR-08,JUN-08,OCT-08,MAR-10,MAR-14,JUN-14,OCT-14)
(1)12
(2)
1 3
(3)
(4)kI
-1 3 2
7. If the matrix 1 -3 has an inverse then the values of k
145
(OCT-06,OCT-09,MAR-11,OCT-13,MAR-15)
(1) k is any real number
(2) = -4 (3) -
(4) 4
8.
If =
2 3
1 4
,
then
(adj
A)A=
(MAR-07, JUN-07,OCT-08,OCT-10,OCT-12,JUN-15, OCT-15, MAR-16)
10
(1) 5 0
1
5
(2)
1 0
0 1
(3)
5 0
0 -5
(4)
9. If A is a square matrix of order n, then is............
(1) 2
(2)
(3) -
(MAR-06,JUN-06,MAR-12,JUN-14) (4)
001
10. The inverse of the matrix 0 1 0 is
100
100
0 01
(1) 0 1 0
(2) 0 1 0
001
-1 0 0
(3)
(JUN-12,JUN-13,JUN-16)
-1 0 0 (4) 0 -1 0
0 01
11. If A is a matrix of order 3, then det (kA)
(1) ()
(2) 2 det()
(OCT-06, OCT-07,JUN-09,JUN-10,JUN-11, MAR-16, 17)
(3) det()
(4) det()
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