J.K.G. INTERNATIONAL SCHOOLINDIRAPURAM

Class- XI cSummer Vacation Home Assignment

Session 2017-18Political Science:-Complete the following :-1. What would have happened if the constituent Assembly was

elected by all the people of India ?2. Why was constitution amended so many times ?Is there any thing

wrong with our constitution or with the society?3. Make a list of public religious activities that place in your area ?

Which of these involve in exersice of rights and religious freedom ?4. Find out the name of the Chief Election Commission Of India since

1950.5. Find out the names of Judges of Supreme court of India since

1952.Prepare for Unit Test -I

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 greencover 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 languagesviii) 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’

History:-

Topics of history projects:As discussed in the class and assignedroll no.wise.

1. Rise of Early Towns & Nature of Society2. Social, Economic & Religious life of the Roman Empire.3. Rise of Sultanates.4. Medieval Church &7 Growth of towns.5. Inventions and technical changes in 18th Century.6. Expansion of the USA and displacement of nature people.7. The Mesopotamian Civilization.8. The roman Empire & Civilization.9. Feudalism & Middle Ages.10. The Industrial Revolution.

Answer the following questions:

Q1. The discovery of fire is considered as an important event in thelife of primitive man. Why?

Q2. The beginning of Agriculture was a great landmark in the life ofthe early man. Do you agree with this view and why?

Q3. Throw some light on the cave – painting of Altamira.

Q4. What is a pictographic script? Explain along with instances whenand where it has been used?

Q5. How can you say that there existed close trade relationsbetween Mesopotamia and its other early contemporary civilizations?

Q6. Explain the contribution of Mesopotamian civilization to worldcivilization?

Q7. How is the Hammurabi’s code of laws regarded a greatachievement of the Mesopotamians?

Q8. What is the contribution of the Romans in the field of religionand philosophy?

Q9. The Romans were great law-givers. How far do you agree withthis statement?

Q10. Who was Julius Ceasar? Give his estimate in about 100 words.

Q11. What was the condition of Arabia before the rise of Islam?

Q12. Describe the life sketch of Muhammad Sahib.

Q13. What were the effect of the rise of the Mongol power on thepolitical developments in India?

Q14. What was the Mongol problem? Discuss the measures adoptedby the Delhi Sultans to meet the Mongol threat.

Q15. Write the events occurred in the following years:

1227,1368,1921,1258,621,1111,622. C 570,66-70, C 7000-6000 BCE. C 5000 BCE, C3200 BCE, C3000BCE,C2000 BCE.