J.K.G. INTERNATIONAL SCHOOLINDIRAPURAM

Class- XI bSummer Vacation Home Assignment

Session 2017-18Business studies Visit different size of sole proprietorship firm (small shops, mart

etc.) & make a report & 5 nos. questionnaire by asking differentquestions to shopkeepers.

Present it in a folder neatly along with few pictures. Prepare for UT -1

Accountancy:-

Prepare a Comprehensive project based on Double entry Book Keepingincluding :-Journals , ledgers , subsidiary books , cash / bank book , Trial balancePresentation of Project work :-

a. A Project study is in the nature of a real-life problem solvingexercise, planned & executed by the learner himself/ herselfunder the guidance of Accounting Principles.

b. It should be neat & hand written.( not computerized)c. As it is to be presented for evaluation for Annuals, so should be

prepared in an attractive format.d. Have to use, Bar graph & pie charte. It should not be less than 20 pages.

Prepare for UT -1

Economics:-Prepare a project work for 20 marks.Page limit will be around 25 pages. Select any one of them.

Topics: (1) Collect information about taste and preference ofconsumers. In respect of five different brands of chocolates,biscuits and chips. Analyze the data according to questionnaireprepared.

(2). Collect information regarding monthly expenditures of 20families with the help of questionnaire. Analyze the data withthe help of different methods of presentations.

English:-1. Revise all the syllabus given for Unit Test 1.2. Read the novel ‘The Canterville Ghost’ Ch 1 to 4.3. Write an article on the topic –‘Advantages and need of green

cover and afforestation to fight against pollution’.

Information Practices:-1. Learn Ch-1 to Ch-3 for UT-1.2. Create a presentation of “Global Warming” with suitable

Custom Animation and Slide Transitions.3. Learn all the key points of summary of the syllabus

covered.

Commercial Art:-Practical Work:1. Colour wheel2. Calligraphy3. Greeting Card4. Folk Art5. Best out of waste project

Physical Education:- Visit any upcoming sports event in Delhi or any nearby sports

complex and write down about that . Also click somephotographs . Wrie down your experience .

Learn accomplish chapters for Unit 1 exam .

Math:-

1.Describe the set {x ε N: x is a square, 10<x<20} in Rosterform.

2. Describe the set {-1,1} in set builder form.3. Which of the following sets are disjoint :

A={2,1,4}, B={-1,5,1}, C={1,9}, D={x ε N :x<3}E={x:x is an odd natural number greater than 3}

4. Let U={xεN:x≤9};A={x:x is an even no.,0<x<10};B={2,3,5,7}Verify Demorgan’s Law

5. In a survey conducted on a group of 1800 people it is foundin 1200 people liked product A and 900 people liked product

B. What is the least no. of people who liked both theproducts A and B, given that 500 people did not like any ofthe product.

6. In a survey of 25 students, it was found that 15 had takenmathematics,12 had taken physics and 11 had takenchemistry;5 had taken mathematics and chemistry,9 hadtaken mathematics and physics and 4 had taken physics andchemistry and 3 had taken all the three subjects. Find theno. of students that had taken none of the subjects.

7. In a group of 50 students, the number of students studyingFrench, English, Sanskrit were found a follows:French=17 English =13 Sanskrit =15French & English=9 English & Sanskrit=4French & Sanskrit=5 English, French & Sanskrit=3.Find the number of students who studyi) French only ii) English only iii)Sanskrit onlyiv) English and Sanskrit but not Frenchv) French & Sanskrit but not Englishvi) French & English but not Sanskritvii) At least one of the three languages

viii) none of these languages8. Find x and y if:

i) (4x+3,y)=(3x+5,-2)

ii) (x-3,x+y)=(6,10)

9. If A={2,4,6,9} and B={4,6,18,27,54} aεA & bεB, Find the set of

ordered pairs such that ‘a’ is a factor of ‘b’ and a<b.

10. If A={x:xεW,x<2}, B={x:xεN, 1<x<5}, C={3,5} Find:

i) Ax(B ∩ C) ii) AX(BUC)

11. Find the domain of each of the following functions given by:

(a) f(x)= (b) f(x)=√ (c) f(x)=

12. Find the range of the following functions given by:

(a) f(x)=√ − (b) f(x)=| |13. If (x)= − , evaluate f (cos )

14. Find the domain and range of the function of f(x)=

15. Let function f:R→R be such that f(x)= +Find (i) (− ) (ii) ( )

16. Let A={1,2},B={1,2,3,4},C={5,6} and D={5,6,7,8}.Verify

that:

(i)A x (B∩C)=(A x B) ∩ (A x C)

17. The relation f is defined by

F(x)= ,,The relation g is defined by

g(x)= ,,Show that f is a function and g is not a function.

18. Draw the graph of the function f:R→R defined by f(x)=x3, -

3≤x≤3

19. A={1,2,3} B={4} C={5} verify that AX(BUC)=(AXB)U(AXC)

20. Prove that ° = ° + °21. Evaluate -

22. Find the general solution of the equation : 2sinx+√ cosx=1+sinx

23. Prove that °sin40°sin60°sin80°=24. Find the value of 2sin2 +2cos2 -2tan2

25. Prove that sin2A+ sin2(A+ )+ sin2(A-- )=

26. Solve: 2cos2x+3sinx=0

27. Prove that :

i) tan13A-tan7A-tan6A=tan13Atan7Atan6A

ii) ° °° °= °iii) ° ° ° °=√iv) 4sinөsin(60-ө).sin(60+ө)=sin 3ө

If A+B+C=π then prove that

v) Sin2A+sin2B+sin 2C=4sinAsinBsinC

vi) cos2A+cos2B+cos2C=-1-4cosAcosBcosC

vii) sinA+sinB+sinC=4cosA/2cosB/2cosC/2

viii) Cos2A+Cos2B+cos2C=1-2cosAcosBcosC

28. Find the value of tan 22°30’