1 DELHI PUBLIC SCHOOL, JAMMU HOLIDAY HOMEWORK Class: XII SESSION: 2018-19 Dear Parents, There is no doubt that vacations are the most appropriate time for the students to refresh and rejuvenate themselves to gear up for the rest of the Academic Session. Children have ample energy which needs to be channelized in the right direction to get the best out of them. Keeping this in mind, the holiday homework has been designed to make them more observant and confident. Hope our students enjoy doing the same with the needful attention and support from their respective parents. Principal DPS Jammu END IS NOT THE END, INFACT E.N.D MEANS “EFFORT NEVER DIES”
16
Embed
DELHI PUBLIC SCHOOL, JAMMU HOLIDAY HOMEWORK Class: XII ...
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
1
DELHI PUBLIC SCHOOL, JAMMU
HOLIDAY HOMEWORK
Class: XII
SESSION: 2018-19
Dear Parents,
There is no doubt that vacations are the most appropriate time for the students to
refresh and rejuvenate themselves to gear up for the rest of the Academic Session.
Children have ample energy which needs to be channelized in the right direction to
get the best out of them. Keeping this in mind, the holiday homework has been
designed to make them more observant and confident.
Hope our students enjoy doing the same with the needful attention and support from
their respective parents.
Principal
DPS Jammu
END IS NOT THE END, INFACT E.N.D MEANS
“EFFORT NEVER DIES”
2
English 1 Do all the following questions in English Home-work Notebook.
1 Read the Novel ‘The Invisible Man’ and do the following.
a) Write chapter-wise summary of first fifteen chapters.
b) Write 5 questions of Advertisement. ( Classified )
i) Situation Vacant
ii) Sale/Purchase ( Property and Vehicle )
iii) Lost and Found
iv) Travel and Tours
v) Missing Persons and Pets
c) Write the following letters.
i) 3 Letters of complaint ii) 3 Letters of Placing Order
iii) 4 Letters to the Editor of newspaper
iv) Write Articles on following in 150-200 words each.
Need for inculcating Healthy Dietary Habits
Social Networking—A Boon or a Bane
Role of Students in Removing Illiteracy
Impact of Advertisement on Younger Generations
Importance of Time Management
3 Read Newspaper Everyday and do the following.
a) Paste 10 Advertisements (Classified) and 10 Ads (Display) in the Notebook.
b) Paste 5 Articles from the Newspaper in the Notebook and write summary
of each article in 120 words.
3
Mathematics
RELATION AND FUNCTION:
1. If the function f: W→W defined by 𝑓 𝑥 = 𝑥 + 1, 𝑖𝑓 𝑥 𝑖𝑠 𝑒𝑣𝑒𝑛𝑥 − 1, 𝑖𝑓 𝑥 𝑖𝑠 𝑜𝑑𝑑
𝑖𝑠 𝑖𝑛𝑣𝑒𝑟𝑡𝑖𝑏𝑙𝑒, 𝑓𝑖𝑛𝑑 𝑓−1 .
2. Let f: N→R be a function defined by f(x) =9x2+6x-5. Show that f: N→S, where S is the range
of f, is invertible. Find the inverse of f and hence find f-1
(43) and f-1
(163).
3. Let A=Q×Q and let * be a binary operation on A defined by (a,b)*(c,d)=(ac,b+ad) for
(a,b)*(c,d)εA. Determine, whether* is commutative and associative.Then, with respect to * on A,
i) Find the identity element in A
ii) Find the invertible elements of A
4. Let A={1,2,3,…………,9} and R be the relation in A×A defined by (a,b)R(c,d) if a+d=b+c for
(a,b)R(c,d) in A×A. Prove that R is an equivalence relation. Also obtain the equivalence class
[(2,5)].
INVERSE TRIGONOMETRIC FUNCTIONS:
5. Solve: 𝑐𝑜𝑠 sin−1 2
5+ cos−1 𝑥 = 0.
6. Solve: tan−1 1−𝑥
1+𝑥 =
1
2tan−1 𝑥 .
7. Prove that: tan (𝜋
4+
1
2cos−1 𝑎
𝑏)+ tan (
𝜋
4−
1
2cos−1 𝑎
𝑏) =
2𝑏
𝑎.
MATRICES AND DETERMINANTS:
8. Using properties of determinants, prove the following
1 𝑎 𝑎2 − 𝑏𝑐1 𝑏 𝑏2 − 𝑐𝑎1 𝑐 𝑐2 − 𝑎𝑏
= 0 .
4
9. If ∆1= 1 𝑥 𝑥2
1 𝑦 𝑦2
1 𝑧 𝑧2
, ∆2= 1 1 1𝑦𝑧 𝑧𝑥 𝑥𝑦𝑥 𝑦 𝑧
, then prove that ∆1+∆2= 0.
10. Find the value of θ , satisfying 1 1 𝑠𝑖𝑛3𝜃
−4 3 𝑐𝑜𝑠2𝜃7 −7 −2
= 0 .
11. Using properties of determinants, prove the following
ababa
baaba
babaa
2
2
2
= 9b2( a + b ) .
12. Prove by using properties of determinants:
−𝑎(𝑏2 + 𝑐2 − 𝑎2) 2𝑏3 2𝑐3
2𝑎3 −𝑏(𝑐2 + 𝑎2 − 𝑏2) 2𝑐3
2𝑎3 2𝑏3 −𝑐(𝑎2 + 𝑏2 − 𝑐2)
= 𝑎𝑏𝑐 𝑎2 + 𝑏2 + 𝑐2 3
13. Prove by using properties of determinants:
𝑏 + 𝑐 2 𝑎2 𝑏𝑐
𝑐 + 𝑎 2 𝑏2 𝑐𝑎
𝑎 + 𝑏 2 𝑐2 𝑎𝑏
= 𝑎2 + 𝑏2 + 𝑐2 𝑎 + 𝑏 + 𝑐 𝑏 − 𝑐 𝑐 − 𝑎 (𝑎 − 𝑏).
14. If x, y, z are in GP, then using properties of determinants, show that
𝑝𝑥 + 𝑦 𝑥 𝑦𝑝𝑦 + 𝑧 𝑦 𝑧
0 𝑝𝑥 + 𝑦 𝑝𝑦 + 𝑧 = 0, where x ≠ y ≠ z and p is any real number.
15. Using elementary row transformations find the inverse of the following matrices:
i) 2 5 33 4 11 6 −2
ii) 2 −1 44 0 23 −2 7
iii) 2 0 −15 1 00 1 3
5
iv) −1 1 21 2 33 1 1
v) 1 3 −2
−3 0 −12 1 0
16. Express the following matrices as the sum of symmetric and skew-symmetric
matrices:
i) 2 4 −67 3 51 −2 4
ii) 2 3 11 −1 24 1 2
17. If A = 1 −1 0
−1 2 10 1 1
and B = 1 1 −10 1 −10 0 1
, show that BTAB is a diagonal matrix.
18. Three school X,Y and Z organized a fete(mela) for collecting funds for flood victims in
which they sold hand held fans, mats and toys made from recycled material, the sale
price of each being 25/- , 100/- and 50/- respectively. The following table shows the
number of articles of each type sold:
Article X Y Z
Hand held fans 30 40 35
Mats 12 15 20
Toys 70 55 75
Using matrices, find the funds collected by each school by selling the above articles and
the total funds collected. Also write one any value generated by the above situation.
19. If ∆1= 1 𝑥 𝑥2
1 𝑦 𝑦2
1 𝑧 𝑧2
, ∆2= 1 1 1𝑦𝑧 𝑧𝑥 𝑥𝑦𝑥 𝑦 𝑧
, then prove that ∆1+∆2= 0.
20. Find the value of θ , satisfying 1 1 𝑠𝑖𝑛3𝜃
−4 3 𝑐𝑜𝑠2𝜃7 −7 −2
= 0 .
6
21. Using properties of determinants, prove the following
ababa
baaba
babaa
2
2
2
= 9b2( a + b ) .
22. Prove by using properties of determinants:
−𝑎(𝑏2 + 𝑐2 − 𝑎2) 2𝑏3 2𝑐3
2𝑎3 −𝑏(𝑐2 + 𝑎2 − 𝑏2) 2𝑐3
2𝑎3 2𝑏3 −𝑐(𝑎2 + 𝑏2 − 𝑐2)
= 𝑎𝑏𝑐 𝑎2 + 𝑏2 + 𝑐2 3
23. Prove by using properties of determinants:
𝑏 + 𝑐 2 𝑎2 𝑏𝑐
𝑐 + 𝑎 2 𝑏2 𝑐𝑎
𝑎 + 𝑏 2 𝑐2 𝑎𝑏
= 𝑎2 + 𝑏2 + 𝑐2 𝑎 + 𝑏 + 𝑐 𝑏 − 𝑐 𝑐 − 𝑎 (𝑎 − 𝑏).
24. If x, y, z are in GP, then using properties of determinants, show that
𝑝𝑥 + 𝑦 𝑥 𝑦𝑝𝑦 + 𝑧 𝑦 𝑧
0 𝑝𝑥 + 𝑦 𝑝𝑦 + 𝑧 = 0, where x ≠ y ≠ z and p is any real number.
7
Physics
Prepare a Project and a Project Report .
General Guidelines:
The project chosen should be from any of the topics from XII class
curriculum. Some of them are listed below:
(i) Electromagnetic Induction
(ii) Diffraction of light
(iii) Light Dependent Resistor
(iv) Electroscope
(v) Eddy currents
(vi) Transformer
(vii) Logic gates
(viii) Rectifier
(ix) Photo diode
You can also choose any one from the suggested investigatory projects
recommended by the CBSE.
Report of your project should be hand written and should be according to the
format mentioned below.
Name/ Title ot the project
List of components used along with their specifications
Theory/ principle behind the working of project
Related diagrams
Working in detail /procedure
Further modifications (if any) can be done
Bibliography
Chemistry
1. Make a list of all the named reactions in chapter 10 – 11 and write them in your assignment
register.
2. Write all the reaction mechanisms in chapter 10-11 in your assignment register.
3. Complete your investigatory project (any one)
i) Study of quantity of casein present in different samples of milk
8
ii) Extraction of essential oils present in saunf (aniseed), Ajwain (carum) and Illaichi
(cardimoni).
iii) Study of common food adulterant in fat, oil, butter, sugar, turmericpowder, chillipowderand
pepper.
iv) Comparative study of the rate of fermentation of following material wheat flour, gram flour,
potato juice, carrot juice etc.
v) Preparation of soyabean milk and its comparison with the natural milk with respect to curd
formation effect of temperature etc.
a) Compare your results with those available in the reference books.
b) Discuss your results in the light of available information about the project and draw out
meaningful conclusion.
1. Make use of graphs, photographs, diagrams or models to support your observations and
conclusions.
2. Give a list of books, magazines/journals and internet sites you have consulted during the
course of your project.
3. Acknowledge the guidance, help and assistance rendered by your Principal, teachers,
parents, and friends by expressing sincere gratitude and thanks to them in the beginning.
I.3 How to write an investigatory project:
Students are required to get their project report typed on bond paper sheets and to represent
in the best possible manner. The project report should be written in the following sequence:
1. Title / Aim – Name of the project.
2. Introduction – Information collected from various sources related to the topic.
3. Observations – Record your observations / data in the form of tables, graphs, photographs,
etc.
4. Results / Conclusion – Give analysis of the data and compare your results with those
available in the literature and draw conclusions.
5. References – Give the list of books, internet websites, magazines or journals you have
consulted, for the project work.
9
Biology
Science operates on the edge of what is known, to discover more about what is not… we have to be a person of what we can do to explore being young scientists……
I.1 Make an investigatory project on any of the following topics:
For selection of the topic for the project, you work and read different chapters of your syllabus and
also consult scientific literature, magazines, and newspapers, go and use search engines of internet,
etc. Then select the topic of your interest.
Importance, usage and preparation of bio-insecticides and pesticides.
Population Explosion and Control.
Organic Farming / Organic Agriculture.
HUMAN DISEASES Any human disease can be taken as a topic and collect the complete
information with statistical data and a support of statistical analysis about the same
questioners.
Effect of salinity of water on the growth of one type of plant.
Effect of pH of water on the growth of one type of plant.
Applications of Biotechnology.
Genetically Modified Organisms.
Environmental Pollution.
Drug Addiction and Control.
I.2 Following points should be kept in mind while performing the experiments for the project
work.
4. Compare your results with those available in the reference books.
5. Discuss your results in the light of available information about the project and draw out
meaningful conclusion.
6. Make use of histograms, graphs, photographs, diagrams or models to support your
observations and conclusions.
7. Give a list of books, magazines/journals and internet sites you have consulted during the
course of your project.
8. Acknowledge the guidance, help and assistance rendered by your Principal, teachers,
parents, and friends by expressing sincere gratitude and thanks to them in the beginning.
I.3 How to write an investigatory project:
Students are required to get their project report typed on bond paper sheets and to represent
in the best possible manner. The project report should be written in the following sequence:
6. Title / Aim – Name of the project.
7. Introduction – Information collected from various sources related to the topic.