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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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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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For Bulk Orders: Please contact your district Co-ordinators from the list

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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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