tamil nadu - sslc - Kopykitab

16

Transcript of tamil nadu - sslc - Kopykitab

MATHEMATICS

SSLC

2011 to 2017

CHAPTERWISE & TOPICWISE

TAMIL NADU

Solved Papers

Strictly as per the Latest Blueprint & Design for

SSLC Exam

For Samacheer Kalvi(Tamil Nadu Uniform System of School Education)

CLASS

10

With Topper’s Answers of 2016 Exam

TO BUY THESE BOOKS VISIT

2005

© PublisherOswaal Books

1/11, Sahitya Kunj, M.G. Road, Agra-282002 (UP) IndiaPhone: 0562-2857671, 2527781Fax: 0562-2854582, 2527784E-mail: [email protected] www.OswaalBooks.com

Chennai : Ruby Books, Ph. (044) 26425958 Ravi Book House, Ph. (044) 24617181, 42103359, 9941226390 Gautam Book Centre, Ph. (044) 24315857 Indian Book House, Ph. (044) 24327784, 9094129595 Achiever Book Traders, Ph. (044) 24902861, 32966222 Vijaya Store, Ph. (044) 24640007, 9381037417 Annai Book Centre, Ph. 9444629914 Central Book Distributor, Ph. (044) 24343336, 24342564 Kamal Store, (044) 24419202 Arraba Book Traders, Ph. (044) 25387868, 9841459105 Chennai Books & Stationers, Ph. (044) 45542227, 9884455334 Madras Book House, Ph. (044) 24345304 Sri Eswar Enterprises, Ph. (044) 24345902 Bismi Book, Ph. 9444426707 Kalaimagal Store, Ph. (044) 45544072 Prince Book, Ph. (044) 42053926 PCM Book Shop, Ph. (044) 24337329 Success Book House, Ph. (044) 42612215 Samad Super Shoppe, Ph. 9840428787 Sri Gokul Enterprise, Ph. 9840171798 M.K. Store, Ph. 9840030099 National Book Traders, Ph. 7299804774 New Books & Books, Ph. 9940129787 Rhythm Book Distributor, Ph. (044) 24360666 Suresh Stationers, Ph. 9841453743 Vaishno Book House, Ph. (044) 42061070 Bellco (044) 24341622 Keerthi Enterprises, Ph. 9445568116 Tiger Books Pvt. Ltd, Ph. (044) 25369892Coimbatore : AA Book Gallery, Ph. (0422) 2304650 Majeshtic Book House, Ph. (0422) 4384333, 9994343334 UBS Publishers & Distributors, Ph. 9043136005 Cheran Book House, Ph. (0422) 2396623 CBSC Book Shop, Ph. (0422) 2393093 9585979452 H & C Store, Ph. 9447496692 Karthikeyen Book House, Ph. (0422) 2540467, 9840475754Cuddalore Bell Book House, Ph. 9443265414Dindigul New Century Book House, Ph. 9443833066Erode : Motherland Book House, Ph. (0424) 2226164 Salevam Book Centre, Ph. 9843199697 Senthil Book Palace, Ph. 9842265131Kalpakkam : MP Agencies, Ph. 9443881220Kallakurichi : Sri Kiruba Stationery, Ph. (04151) 222114, 9443720114Karekudi A.M. Jothimani Son, Ph. 8925179687

Krishnagiri Sai Sowmiya Book Centre, Ph.9965783915

Madurai :

Sri Shiva Book & Stationers Ph. (452) 2622144, 9444816231 Madurai Book Shop, Ph. (0452) 4267057, 9843915595 Jayam Book Centre, Ph. (0452) 2623636, 9894658036

CHENNAI : , (044) 26425958Ruby Books (044) 2374622UBS Publisher & Dist., Ph. (044) 25387868,Arraba Book Traders,

9841459105

Ph. (044) 45544072Kalaimagal Store,

TRICHY : (0431) 2703692Rasi Publication,

Selvi Book Shop, Ph. (0452) 4380169 Kalaimagal Store, Ph. 9442612700 Mano Book Centre, Ph. 9443321577 Sree Abinnaya Book Company, Ph. 9894359011Nagapattinam : Kaleshwari Stores, Ph. 9865145154 Mayuri Book House, Ph. 9443853768 Metro Book Centre, Ph. 9500478338Nagarcoil : Deepthi Book World, Ph. 9443579852 Sudarshan Book, Ph. (04652) 228445 Student Book Centre, Ph. 9443846146Namakal Sri Chola Book House, Ph. 9942615999 Sri Saravane Book Shop, Ph. 9894217248Puducherry : Sri Laxmi Book Stall, Ph. 9443085499 Siruvar Pakkem, Ph. 9894034367 Sri Saraswati Book Stall, Ph. 9092626287Puddukkottai : M. Velaryutham & Co., Ph. 9791472709Salem : Pattu Book Centre, Ph. 9842428861 The S.K.B. Book Shop, Ph. (0427) 2452579, 9578589111 Shabari Book House, Ph. 9842765414 Ajantha Book Centre, Ph. (0427) 2417755, 9894665305 Salem Book House, Ph. (0427) 2411315 Kalaivani Bok Centre, Ph. 9842712342Thanjavour : Sri Nivas Book Centre, Ph. 9486332314Trichy : Agasthiar Book Depot, Ph. (0431) 2700061 Trichy Book House, Ph. (0431) 2766815, 8220992897 Rasi Publication, Ph. (0431) 2703692 P.R. & Sons Book Seller, Ph. 9443370597 Sri Murugan Book Centre, Ph. 9944144222 Visvas Book Centre, (0431) 2701965Tirunelveli : Chitradevi Book Centre, Ph. 7667664293 Eagle Book Centre, Ph. 9443933333Tirupur : Chola Book House, Ph. 9952851467 Sampath Store, Ph. 9894341736 Senthil Stores, Ph. 9843291010Trichirapalli : Sumbthy Publication, Ph. 9842488555Tuticorin : Eagle Book Centre, Ph. 9486688333

Sri Durga Store, Ph. 9600333452

Varthaman :

Sathiees Book Centre, Ph. 9486015051

Vellore :

Book Station, Ph. 9629411967

Villupurum :

Sabari Narthen Brothers, Ph. 9443425972

Book Park, Ph. 8220345113

Virudhunagar :

Royal Agencies, Ph. 9443380638

COIMBATORE : (0422) 2499914UBS Publisher & Dist.,

(0422) 4629999Sapna Book House,

Ph. (0422) 4384333,Majeshtic Book House,

9994343334

Ph. (0422) 2393093 CBSC Book Shop,

9585979452

OUR DISTRIBUTORS

( 4 )

PREFACEMalcolm Forbes said “Education's purpose is to replace an empty mind with an open one” and

this is something which is always followed by Tamil Nadu Board in their Samacheer Kalvi system of

education. The aim of Samacheer Kalvi Curriculum is not just to let learners obtain basic knowledge

but to make them life-long learners.

The purpose of this book is to nurture individuality and thus enhance one's innate potentials

which help in increasing the self-study mode for students. This book strengthens knowledge and

attitude related to subject. This book is designed in such a way that students can set their own goals and

can improve their problem solving and thinking skills.

This book is strictly as per the latest Samacheer Kalvi Blueprint & Design for SSLC Exams. It

contains variety of questions from latest textbooks. It contains all types of questions like VSA Questions

(Very Short Answer), SA Questions (Short Answer), MCQs (Multiple Choice Questions) and LA

Questions (Long Answer). A synopsis is given for every chapter which contains important points from

that chapter. Each chapter has high quality figures wherever required for better, fast and clear

understanding.

OSWAAL SSLC Question Bank is different and better in terms of High Quality Questions which

are developed by 'OSWAAL Expert Panel'. The Question Bank is arranged ‘TOPIC-WISE’ where each

Topic from every Chapter is explained in detail. ‘KEYWORDS’ are highlighted to develop student

understanding of marking scheme.

Through OSWAAL Books students are taught how to think, not what to think. We at OSWAAL

Books try to use quality content, standard language, creativity and high quality figures, which makes

readers to enjoy it because we believe if our readers don't enjoy reading our book then there is no use in

reading it at all. This is one of the reasons that the scope of this book extends from students to teachers.

Teachers can use this book as a perfect teaching guide and students can use this book for good

learning and practice.

At last we would like to thank our authors, editors, reviewers and specially students whom we

request to send suggestions regularly which will help in continuous improvement of this book and will

make this book “One of the Best”. Wish you all Happy Learning.

–Publisher

1. Chapter-wise and Topic –wise resentation

in Question Banks facilitates systematic

study.

2. Question Banks can be referred to by the

students throughout the year as well as at

the completion of each chapter in school.

3. Question Banks, take into account any

changes in syllabus or layout and hence are

fully updated and aligned as per the latest

specifications by the Board.

Question Bank Previous Years' Paper

1. Year Wise presentation restricts meth-

odical flow of learning.

2. These can be referred to only after the

completion of the full syllabus in school.

3. Previous Years' questions cannot be

changed and hence fail to be adept with

the latest Board specifications

Why Topic Wise Question Banks Are A Better Choice than Previous Year’s Papers ?

( 5 )

DESIGN OF QUESTION PAPER

Subject : Mathematics Time : 2.30 Hrs.

Class : X Max marks : 100

Weightage of marks to Learning Objectives

Objectives Percentage

Knowledge 19

Understanding 31

Application 23

Skill 27

Total 100

Weightage to the Types of Questions

Difficulty Level

Level Percentage of Marks

Difficult 12

Average 28

Easy 60

Types Section-A Section-B Section-C Section-D

of Very Short Short Long Very Long Total

Questions Answer Answer Answer Answer

(Objective)

Number of 15 10 9 2 36

Questions

Marks 15 20 45 20 100

Time20 35 65 30 2.30 Hrs

(in minutes)

( 6 )

... CONTD.

Sections and Options

Sections Question numbers Number of Question to

From to Questions be answered

A 1 15 15 15

16

30th Question is B 16 30 10

compulsory and is in ‘either’ ‘or’ type

16

45th Question is C 31 45 9 compulsory and is

in ‘either’ ‘or’ type

2 46 This Question is 1 in ‘either’ ‘or’ type

D 2 47 This Question is 1

in ‘either’ ‘or’ type

Weightage to Content

Number of Questions Chapter Total Chapter

1 mark 2 marks 5 marks 10 marks Marks No.

1 Sets and Functions 1 2 2 15

2 Sequences and series 2 1 2 14

of Real Numbers

3 Algebra 2 2 3 21

4 Matrices 1 2 1 10

5 Coordinate Geometry 2 2 2 16

6 Geometry 2 1 1 9

7 Trigonometry 2 2 1 11

8 Mensuration 1 2 2 15

9 Practical Geometry 2 20

10 Graphs 2 20

11 Statistics 1 1 1 8

12 Probability 1 1 1 8

Total 15 16 16 4 167

( 7 )

... CONTD.

Section - A1. All the 15 questions numbered 1 to 15 are multiple choice questions each with 4 distractors and all are compulsory. Each question carries one mark.2. Out of 15 questions, 10 questions are from the multiple choice questions given in the Text Book. The remaining 5 questions should be framed from the five different chapters 2, 3, 5, 6 and 7 on the basis of the Text Book theorems, results, examples and exercises.

Section - B1. 10 questions are to be answered from the questions numbered 16 to 30. Each question carries two marks.2. Answer any 9 questions from the first 14 questions. Question no. 30 is compulsory and is in ‘either’ or ‘type’.3. The order of the first 14 questions should be in the order of the chapters in the Text Book.4. Out of first 14 questions, 6 questions are from the examples and 8 questions are from the exercises.5. The two questions under question no. 30 should be framed based on the examples and problems given in the exercises from any two different chapters of 2, 3, 5 and 8.

Section - C1. 9 questions are to be answered from the questions numbered 31 to 45. Each question carries five marks.2. Answer any 8 questions from the first 14 questions. Question no. 45 is compulsory and is in ‘either’ or ‘type’.3. The order of the first 14 questions should be in the order of the chapters in the Text Book.4. Out of first 14 questions, 6 questions are from the examples and 8 questions are from the exercises.5. The two questions under question no. 45 should be framed based on the examples and problems given in the exercises from any two different chapters of 2, 3, 5 and 8.6. Questions numbered 30(a), 30(b), 45(a) and 45(b) should be framed based on the examples and problems given in the exercises from the chapters 2, 3, 5 and 8 subject to the condition that all of them should be from different chapters.

Section - D1. This section contains two questions numbered 46 and 47, one from the chapter 9 and the other from the chapter 10, each with two alternatives (‘either’or ‘type’) from the same chapter. Each question carries ten marks.2. Answer both the questions.3. One of the questions 46(a), 47(a), 46(b) and 47(b) should be from the examples given in the text book. The remaining three questions should be from the exercises.

Distribution of marks and Questions towards Examples, Exercises and Framed questions

Sec A Sec B Sec C Sec D Total Percentage (1 mark) (2 marks) (5 marks) (10 marks) marks

From the Examples..... 6 (2) 6 (5) 1 (10) 52 31 given in the Text Book

From the Exercises10 (1) 8 (2) 8 (5) 3 (10) 96 58 given in the Text Book

Framed Question from 5 (1) 2 (2) 2 (5) ..... 19 11 specified chapters

Total 15 (1) 16 (2) 16 (5) 4 (10) 167 100

Number in brackets indicate the marks for each question.•

( 8 )

BLUE PRINTM

ath

emat

ics

– C

lass

10

Ch

apte

r/

Kn

ow

led

ge

Un

der

stan

din

g

Ap

pli

cati

on

S

kil

l T

ota

l

O

bje

ctiv

e V

SA

S

A

LA

V

LA

V

SA

S

A

LA

V

LA

V

SA

S

A

LA

V

LA

V

SA

S

A

LA

V

LA

m

ark

s

Set

s an

d F

un

ctio

ns

1(1)

2(

1)

5(1)

2(

1)

5(1)

15

2(1)

5(

1)

1(

1)

1(

1)

5(

1)

14

S

equ

ence

s an

d S

erie

s

of

Rea

l N

um

ber

s

Alg

ebra

2(

1)

5(1)

1(1)

1(1)

2(

1)

5(1)

5(1)

21

Mat

rice

s

4(

2)

5(1)

1(1)

10

Co

ord

inat

e

2(1)

1(

1)

2(1)

5(

1)

1(

1)

5(

1)

16

Geo

met

ry

Geo

met

ry

1(1)

2(

1)

5(1)

1(1)

9

Tri

go

no

met

ry

1(1)

2(

1)

5(1)

1(1)

2(

1)

11

Men

sura

tio

n

1(1)

2(

1)

5(1)

2(

1)

5(1)

15

Pra

ctic

al G

eom

etry

10(2

) 20

Gra

ph

s

10(2

) 20

Sta

tist

ics

5(1)

2(

1)

1(1)

8

Pro

bab

ilit

y

2(

1)

5(1)

1(1)

8

To

tal

2(2)

10

(5)

20(4

)

5(5)

16

(8)

30(6

)

8(8)

6(

3)

25(5

)

5(1)

40

(4)

167

Nu

mb

er i

n b

rak

ets

ind

icat

e th

e n

um

ber

of

qu

esti

on

s.•

Oth

er N

um

ber

s in

dic

ate

the

mar

ks.

SOLVEDPAPER

SSLC Tamilnadu ExamMarch 2017

Class - XMathematics

Time : 2½ Hours Max. Marks : 100

Instruction :

1. Check the question paper for fairness of printing. If there is any lack of fairness, inform the Hall Supervisor immediately.

2. Use Blue or Black ink to write and underline and pencil to draw diagrams.

Note :— This question paper contains four sections.

SECTION - I

Note :— (i) Answer all the 15 questions. 15 × 1 = 15

(ii) Choose the correct answer from the given four alternatives and write the option code and the corresponding answer.

1. If f (x) = x2 + 5, then f (– 4) =

(a) 26 (b) 21

(c) 20 (d) – 20

2. If k + 2, 4k – 6, 3k – 2 are the three consecutive terms of an A.P., then the value of k is :

(a) 2 (b) 3

(c) 4 (d) 5

3. If the product of the first four consecutive terms of a G.P. is 256 and if the common ratio is 4 and the first term is positive, then its 3rd term is :

(a) 8 (b) 1

16

(c) 1

32 (d) 16

4. The remainder when x2 – 2x + 7 is divided by x + 4 is :

(a) 28 (b) 29

(c) 30 (d) 31

5. The common root of the equations x2 – bx + c = 0 and x2 + bx – a = 0 is :

(a) c ab

+2

(b) c ab

−2

(c) c ba

+2

(d) a bc

+2

10 | OSWAAL Tamil Nadu SSLC Question Bank for Samacheer Kalvi Mathematics, Class X

6. If A = 7 21 3

and A + B =

−−

1 02 4

, then the matrix B =

(a) 1 00 1

(b)

6 23 1−

(c) − −

8 21 7

(d)

8 21 7−

7. Slope of the straight line which is perpendicular to the straight line joining the points (– 2, 6) and (4, 8) is equal to :

(a) 13

(b) 3

(c) – 3

(d) − 13

8. If the points (2, 5), (4, 6) and (a, a) are collinear, then the value of 'a' is equal to :

(a) – 8 (b) 4

(c) – 4 (d) 8

9. The perimeters of two similar triangles are 24 cm and 18 cm respectively. If one side of the first triangle is 8 cm, then the corresponding side of other triangle is :

(a) 4 cm (b) 3 cm

(c) 9 cm (d) 6 cm

10. ∆ ABC is a right angled triangle where ∠ B = 90° and BD ⊥ AC. If BD = 8 cm, AD = 4 cm, then CD is :

(a) 24 cm (b) 16 cm

(c) 32 cm (d) 8 cm

11. In the adjoining figure ∠ ABC =

100 mA B

C

100

3

(a) 45° (b) 30°

(c) 60° (d) 50°

12. 9 tan2 θ – 9 sec2 θ =

(a) 1 (b) 0

(c) 9 (d) – 9

13. If the surface area of a sphere is 100 p cm2, then its radius is equal to :

(a) 25 cm (b) 100 cm

(c) 5 cm (d) 10 cm

SOLVED PAPER-2017 | 11

14. Standard deviation of a collection of a data is 2 2 . If each value is multiplied by 3, then the standard deviation

of the new data is :

(a) 12 (b) 4 2

(c) 6 2 (d) 9 2

15. A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor a king card is :

(a) 2

13 (b)

1113

(c)

413

(d)

813

SECTION - II

Note :— (i) Answer 10 questions. 15 × 1 = 15

(ii) Question number 30 is compulsory. Select any 9 questions from the first 14 questions.

16. Given, A = {1, 2, 3, 4, 5}, B = {3, 4, 5, 6} and C = {5, 6, 7, 8}, show that A ∪ (B ∪ C) = (A ∪ B) ∪ C.

17. The following table represents a function from A = {5, 6, 8, 10} to B = {19, 15, 9, 11} where f (x) = 2x – 1. Find the values of a and b.

x 5 6 8 10

f (x) a 11 b 19

18. If – 27

, m, – 72

(m + 2) are in G.P., find the values of m.

19. Solve by elimination method : 13x + 11y = 70, 11x + 13y = 74.

20. Simplify : 6 93 12

2

2x xx x

+−

21. Construct a 2 × 2 matrix A = [aij] whose elements are given by aij = 2i – j.

22. Let A = 3 25 1

and B =

8 14 3

. Find the matrix C, if C = 2A + B.

23. Find the coordinates of the point which divides the line segment joining (– 3, 5) and (4, – 9) in the ratio 1 : 6 internally.

24. "The points (0, a) a > 0 lie on x-axis for all a". Justify the truthness of the statement.

25. In ∆PQR, AB||QR. If AB is 3 cm, PB is 2 cm and PR is 6 cm, then find the length of QR.

26. The angle of elevation of the top of a tower as seen by an observer is 30°. The observer is at a distance of 30 3 m from the tower. If the eye level of the observer is 1.5 m above the ground level, then find the height

of the tower.

27. The total surface area of a solid right circular cylinder is 1540 cm2. If the height is four times the radius of the base, then find the height of the cylinder.

28. The smallest value of a collection of data is 12 and the range is 59. Find the largest value of the collection of data.

29. In tossing a fair coin twice, find the probability of getting :

(i) Two heads (ii) Exactly one tail

12 | OSWAAL Tamil Nadu SSLC Question Bank for Samacheer Kalvi Mathematics, Class X

30. (a) If the volume of a solid sphere is 724117

cu. cm, then find its radius. Take π =

227

OR

(b) If x = a sec θ + b tan θ and y = a tan θ + b sec θ, then prove that x2 – y2 = a2 – b2.

SECTION - III

Note :— (i) Answer 9 questions. 9 × 5 = 45

(ii) Question number 45 is compulsory. Select and 8 questions from the 14 questions.

31. Let A = {a, b, c, d, e f, g, x, y, z}, B = {1, 2, c, d, e} and C = {d, e, f, g, 2, y}. Verify A\ (B ∪ C) = (A \ B) ∩ (A \ C).

32. Let A = {6, 9, 15, 18, 21}; B = {1, 2, 4, 5, 6} and f : A → B be defined by f (x) = x − 3

3.

Represent f by :

(i) an arrow diagram

(ii) a set of ordered pairs

(iii) a table

(iv) a graph

33. Find the sum of the first 2n terms of the series 12 – 22 + 32 – 42 + .....

34. Find the sum of first n terms of the series 7 + 77 + 777 + .....

35. The speed of a boat in still water is 15 km / hr. It goes 30 km upstream and return downstream to the original point in 4 hrs. 30 minutes. Find the speed of the stream.

36. Find the values of a and b if 16x4 – 24x3 + (a – 1)x2 + (b + 1) x = 49 is a perfect square.

37. If A = 5 27 3

and B =

2 11 1

−−

verify that (AB)T = BT AT.

38. Find the area of the quadrilateral formed by the points (– 4, – 2), (– 3, – 5), (3, – 2) and (2, 3).

39. State and prove Pythagoras theorem.

40. A flag post stands on the top of a building. From a point on the ground, the angles of elevation of the top and bottom of the flag post are 60° and 45° respectively. If the height of the flag post is 10 m, find the height of the building. ( 3 = 1.732).

41. The perimeter of the ends of a frustum of a cone are 44 cm and 8.4 p cm. If the depth is 14 cm, then find its volume.

42. The length, breadth and height of a solid metallic cuboid are 44 cm, 21 cm and 12 cm respectively. It is melted and a solid cone is made out of it. If the height of the cone is 24 cm, then find the diameter of its base.

43. Find the coefficient of variation of the following data.

18, 20, 15, 12, 25.

44. If a die is rolled twice, find the probability of getting an even number in the first time or a total of 8.

45. (a) Find the GCD of the following polynomials 3x4 + 6x3 – 12x2 – 24x and 4x4 + 14x3 + 8x2 – 8x.

OR

(b) A straight line cuts the coordinate axes at A and B. If the mid point of AB is (3, 2), then find the equation of AB.

SOLVED PAPER-2017 | 13

SECTION - IV

Note :— Answer both the question choosing either of the alternative. 2 × 10 = 20

46. (a) Draw the two tangents from a point which is 10 cm away from the centre of a circle of radius 6 cm. Also measure the lengths of the tangents.

OR

(b) Construct a cyclic quadrilateral ABCD, given AB = 6 cm, ∠ ABC = 70°, BC = 5 cm and ∠ ACD = 30°.

47. (a) Solve graphically 2x2 + x – 6 = 0.

OR

(b) Draw the graph of xy = 20, x, y > 0. Use the graph to find y when x = 5, and to find x when y = 10.

14 | OSWAAL Tamil Nadu SSLC Question Bank for Samacheer Kalvi Mathematics, Class X

SolutionsSECTION - I

1. (b) 21

Detailed Answer :

Given f (x) = x2 + 5

⇒ f (– 4) = (– 4)2 + 5

= 16 + 5

= 21

2. (b) 3

Detailed Answer :

Given k + 2, 4k – 6, 3k – 2 are three consecutive terms of an A.P.

⇒ k + 2 + 3k – 2 = 2 (4k – 6)

⇒ 4k = 8k – 12

⇒ 4k = 12

⇒ k = 3

3. (a) 8

Detailed Answer :

Let the terms of G.P. be a, ar, ar2, ar3

Given that r = 4

∴ terms are a, 4a, 16a, 64a

According to question,

a × 4a × 16a × 64a = 256

⇒ a4 = 256

4 16 64× × =

116

⇒ a = 12

∴ The third term ar2 = 12

× 4 × 4 = 8

4. (d) 31

Detailed Answer :

Putting x + 4 = 0

⇒ x = – 4

f (x) = x2 – 2x + 7

∴ f (– 4) = (– 4)2 – 2 (– 4) + 7

= 16 + 8 + 7

= 31

Oswaal Tamil Nadu SSLC QuestionBank Samacheer Kalvi Class 10th

Mathematics

Publisher : Oswaal Books ISBN : 9788184819243 Author : Panel Of Experts

Type the URL : http://www.kopykitab.com/product/11398

Get this eBook

51%OFF