Rockwood Sr. Sec. School, Noida
Assignment (2017 – 18)
Class – XII
PHYSICS
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1.
UNIT –II
(CURRENT ELECTRICITY)
(i) Derive an expression for drift velocity of free electrons.
(ii) How does drift velocity electrons in a metallic conductor vary with increase in temperature?
2.
(i) Deduce the relation between current I flowing through a conductor and drift velocity Vd of the
electrons.
(ii) Define relaxation time of the free electrons drifting in a conductor. How is it related to the drift
velocity of face electrons? Use this relation to deduce the expression for the electrical resistivity of the
material .
3.
Define the term current density of a metallic conductor. Deduce the relation connecting current
density (J) and the conductivity of the conductor, when an electric field is applied to it.
Use Kirchnoffi;s rule to obtain conditions for the balance conditions for the balance condition in a
Wheatstone bridge.
State Kirchhoff’s rules. Explain briefly, how these rules are justified.
With the help of the circuit diagram, explain the working principle of meter bridge. How is it used to
determine the unknown resistance of a given wire. Write the necessary precautions to minimize the
error in the result.
Draw a circuit diagram of a potentiometer. State its working principle. Derive the necessary formula to
describe how it is used to compare the emts of the two cells.
Two cells of emfs E1 and E2 having internal resistances r1 & r2 respectively are connected in parallel as
shown. Deduce the expressions for the equivalent emf and equivalent internal resistance of a cell
which can replace the combination b/w the point B1 & B2
4.
5.
6.
7.
8.
9.
1.
Using Kirchhoff’s laws of current distribution in an electrical network determine the value of the
current I1 in the electric circuit given below.
Unit – III
(MAGNETIC EFFECTS OF CURRENT AND MAGNETISM )
(i) state Biot- Savart law in vector form expressing the magnetic field due to an element dl carrying
current I at a distance r from the element.
(ii) Write the expression for the magnitude of the magnetic field at the centre of a circular loop of
radius r carrying a steady current I. draw the field lines due to the current loop.
2.
Use Biot-Savart law to derive the expression for the magnetic field on the axis of a current carrying
circular loop of radius R. Draw the magnetic field line due to a circular wire carrying current I.
3.
Consider the motion of a charged particle of mass m and charge q moving with velocity V in a magnetic
field B.
(a)
If V is perpendicular to B, show that its describe a circular path having angular frequency
𝑞𝐵
w=( 𝑚 )
(b)
If the velocity V has a component parallel to the magnetic field B, trace the path described by
the particle. Justify your answer.
4.
Draw the magnetic field lines due to a current passing through a long solenoid. Use ampere’s circuital
law, to obtain the expression for the magnetic field due to current I in a long solenoid having n number
of turns per unit length.
5.
Show that cyclotron frequency is independent of energy of the particle. Is there an upper limit on the
energy acquired by the particle? Give reason.
6.
Draw a schematic sketch of a cyclotron. Explain giving the essential details of its.
Chemistry
Assignment -1
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Chapter - 10 - Halo alkanes and Halo arenes
Q1) Why is sulphuric acid not used during the reaction of alcohols with KI?
Q2) Draw the structure of the following:
a) 1 - chloro 4 - ethyl cyclohexane
b) Perfluorobenzene
c) 1 - Bromo - 4 sec - butyl -2 methyl benzene
d) 1 - Bromo - 2 - (1 - methyl propyl) benzene
Q3) What are the IUPAC names of the insecticides - DDT and BHC? Why is their use banned in
India and other countries?
Q4) How will you obtain monobromo-benzene from aniline?
Q5) Predict the major product formed when HCl is added to iso butylene. Explain the mechanism
involved.
Q6) The following reaction gives two products. Write the structures of the products.
CH5CH2CHCl C6H5 Alc KOH ?
heat
Q7) What happens when a) n - butyl chloride is trated with alcoholic KOH
b) Bromo benzene is treated with Mg in the presence of dry ether
c) Chlorobenzene is subjected to hydrolysis
d) Ethyl chloride is treated with aq KOH
e) Methyl chloride is treated with KCN
Q8) How the following conversions can be carried out?
a) Ethanol to But - 2 yne
b) Toluene to Benzyl alcohol
c) Aniline to chlorobenzene
d) Benzene to diphenyl
e) Aniline to phenyl iso cyanide
Q9) Arrange in the order of increasing boiling points, giving reasons.
1- chloro propane, Iso propyl chloride, 1 - chlorobutane
Q10) Explain the following name reactions, giving equationsa) Ullmann reaction
b) Wurtz - fitting reaction
c)
d)
e)
Swartz reaction
Sand meyer's reaction
Finkelstein reaction
Chemistry
Assignment -2
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Chapter - 11 - Alcohols, Phenols and Ethers
Q1) Write structures of the compounds whose IUPAC names are as follows:
(i) 4 - chloro 2, 3 dimethyl pentan - 1 - ol (ii) 3 - Bromo cyclohexanol (iii) 1 - phenyl propan - 2 - ol
(iv) 5 - chloro 2, 4 - dihydroxy benzaldehyde
(v) 3 - chloro 1, 2 epoxy propane
Q2) Convert phenol into a) Salicylaldehyde
b) Benzene
c) Picric acid
d) Benzoic acid e) Asprin
f) Salicylic acid
Q3) Give reasons with proper explanation a) Why phenol has higher boiling point than toluene?
b) Why alcohols are easily protonated in comparison to phenols?
c) Why ortho - nitro phenol is more acidic than ortho-methoxy phenol?
d) Why is () Butan -2 - ol optically inactive?
e) Why are ethers relatively inert compounds?
Q4) Give equations to explain the following name reactions.
a) fries rearrangement
b) Reimer - Tiemann reaction c) Coupling reactions
d) Williamson's synthesis
e) Dow's reactions
Q5) Write the mechanism of hydraction of ethene to yield ethanol.
Q6) Explain the following with an example a) Kolbe's reaction
b) Unsymmetrical ether
Q7)
Write the equation of the reaction of hydrogen iodide with a) 1 - propoxypropane
b) methyoxy benzene
c) Benzyl - ethyl ether
Q8) Arrange water, ethanol and phenol in increasing order of acidity and give reason for your answer.
Q9) Explain why dehydration of alcohols to form alkenes is always carried out with conc. H2SO4 and not with conc.
HCl or HNO3.
Q10) A compound D (C8H10O) upon treatment with alkaline solution of iodine gives a yellow precipitate. The filtrate on
acidification gives a white solid E (C7H6O2). Write the structures of D and E and explain the formation of E.
BIOLOGY
UNIT – 1 REPRODUCTION
LESSON-1 - REPRODUCTION IN ORGANISMS
Q1 What type of organisms can be considered as immortal?Give one example?
Q2 Define reproduction?
Q3 What is asesual reproduction?
Q4 Name the plant which flower once in 12 years?
Q5 What do you understand by oestrus cycle?
Q6 Define gemmules?
Q7 What is vegetative propogation?
Q8 What are antherozoid?
Q9 What is syngamy?
Q10 Draw a labelled diagram of conidia penicillium.
Q11.Cucurbits are referred to as monoecious.Justify the statement.
Q12.How does the progeny formed asexual reproduction differ from those formed by sexual
reproduction?
Q13.Differentiate between
a) binary fission and budding
b) external and internal fertilisation
c)gametogenesis and embryogenesis
d)oviparous and viviparous.
Q14.Explain why meoisis and gametogenesis are always interlinked?
Q15 What is parthenogenesis? Give two examples from animals.
Q16.What is vegetative reproduction?give two examples.
Q17.How are seeds advantageous to flowering plants?
Q18.Explain apomixis and polyembryony.
Q19.Why is water hyacinth is called TERROR OF BENGAL ?
Q20.Digramatically represent the asexual reproduction in Paramecium and Amoeba.
Q21.Explain the events of sexual reproduction.
LESSON-2
SEXUAL REPRODUCTION IN FLOWERING PLANT
Q1.How many nuclei are present in a fully developed male gametophyte of flowering plants? Q2.What
features of flowers facilitate pollination by birds?
Q3.What is double fertilisation?
Q4.Who discovered double fertilisation in angiosperms?
Q5.Name the two nuclei found in a pollen grain.
Q6.Name the tissue present in the fertilised ovules of angiospermic plants that supplies food and
nourishment to the developing embryo.
Q7.What is the function of tapetum?
Q8 Define parthenocarpy.
Q9 Draw a diagram of L.S. of an anatropous ovule of angiosperms.
Q10Write differences between parthenogenesis and parthenocarpy in plants?
Q11.Give the technical term for the following:
(i)Pollination by wind (ii) pollination by water (iii)pollination by animals,(iv) Pollination by birds
(v)Pollination by bat (vi)Pollination by insects.
Q12.What is emasculation?Explain its importance in hybridisation.
Q13.What will be the ploidy of the cells of thr nucellus.microspore mother cell, the functional
megaspore and female gametophyte?
Q14.What is pericarp? mention its function.
Q15.Draw a labelled diagram of V.S. (L.S.) of an apple.
Q16.Draw a diagram of typical dicot embryo.
Q17. Enumaerate any six adaptive floral charcterstics of a wind pollinated plant?
Q18. Why do you think the exine should be hard? What is the function of germ pore?
Q19. State the siginifiance of pollination?List any four difference between wind pollinated and animal
pollinated flower?
Q20.Trace the development of female gametophte (embryo sac) from megaspore mother cell in a
flower?Give a labelled diagram of the final stage of female gemetophyte?
Q21.Draw well labelled diagram of typical monocotyledons embryo.
Biology
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CHAPTER-3 - HUMAN REPRODUCTION
Q1.What is the function of acrosome in a sperm?
Q2.Name the term used in metamorphosis of spermatids?
Q3.Name the scientific term used for the membrane that surrounds an ovum.
Q4.What is the function of leydig cells or interstitial cells?
Q5.How many chromosomes are present in a human male sperm?
Q6.At what stage is the human embryo implanted in the uterus?
Q7.What is the function of scrotum?
Q8.Name the fluid which protects an embryo.
Q9.What is trophoblast?
Q10.What is corona radiata?
Q11.Name the three layers of uterine wall.
Q12.What is corpus leuteum?
Q13.Name the tissue which lines the inner surfaces of fallopian tube.
Q14.What is ovulation? What happens to the graffian follicle after ovulation?
Q15.Draw a diagram of T.S.of the part of seminiferous tubule of testis of an adult male
Q16.Differentiate between
a)morula and blastula.
b)corona radiata and zona pellucida
c)blastula and gastrula
d)spermatogenesis and oogenesis.
Q17.Why the testis are present outside the abdominal cavity in human male?
Q18.How is milk production regulated by hormones in human females.Explain.
Q19.What is seminal plasma?What are its componenets?
Q20.Write a brief account of structure and function of placenta.
Q21.Describe the functions of the following:
i.Epididymis ii. Vas deferens iii.Seminiferous tubules iii.Vagina iv.Trophoblast v.Scrotum
Q22.Draw a flow chart to show hormonal control of human male reproductive system,highlighting the
inhibitory and stimulatory directions in it.
Q23.Define oogenesis.Briefly describe the stages of oogenesis in human females.
Q24.What is menstruation? What are specific actions of FSH,LH,estrogen and progestron in the
menstrual cycle?
ECONOMICS
Q1.Giving reason comment on the shape of Production Possibilities curve based on the following
schedule:
Good X (units)
0
1
Good Y (units)
10
9
2
7
3
4
4
0
Q2. What will be the impact of recently launched 'Clean India Mission' (Swachh Bharat Mission) on
the Production Possibilities curve of the economy and why?
Q3.What will likely be the impact of large scale outflow of foreign capital on Production Possibilities
curve of the economy and why?
Q4. What is likely to be the impact of "Make in India" appeal to the foreign investors by the Prime
Minister of India, on the production possibilities frontier of India ?Explain.
Q5. What is likely to be the impact of efforts towards reducing unemployment on the production
potential of the economy? Explain.
Q6.Givemeaningof an Economy.
Q7. What is opportunity cost? Explain with the help of a numerical example.
Q8. What is Market Demand?
Q9. Given price of a good, how does a consumer decide as to how much of that good to buy?
Q10. Define an indifference curve. Explain why an indifference curve is downward sloping from left
to right.
Q11. When price of a good is Rs. 7 per unit a consumer buys 12 units. When price falls to Rs. 6 per
unit he spends Rs. 72 on the good. Calculate price elasticity of demand by using the percentage
method. Comment on the likely shape of demand curve based on this measure of elasticity.
Q12. Explain how do the following influence demand for a good:
(i) Rise in income of the consumer. (ii) Fall in prices of the related goods.
Q13.Define budget line.
Q14. Explain the central problem ‘for whom to produce.’
Q15.Price elasticity of demand of a good is (–)l. When its price per unit falls by one rupee, its demand
rises from 16 to 18 units. Calculate the price before change.
Q16. A consumer consumes only two goods. Explain consumer’s equilibrium help of utility analysis.
Q17.A consumer consumes only two goods A and B and is in equilibrium. Show that when price of
good B falls, demand for B rises. Answer the question with the help of utility analysis.
Q18.Explain the conditions of consumer’s equilibrium with the help of the indifference curve analysis.
Q19. Explain the three properties of the indifference curves.
Q20.When income of the consumer falls the impact on price-demand curve of an inferior good is:
(choose the correct alternative)
(a) Shifts to the right.
(b) Shifts to the left.
(c) There is upward movement along the curve.
the curve.
(d) There is downward movement along
Q21. If Marginal Rate of Substitution is constant throughout, the Indifference curve will be: (choose
the correct alternative)
(a) Parallel to the x-axis.
(b) Downward sloping concave.
(c) Downward sloping convex.
(d) Downward sloping straight line.
Q22.What will be the impact of recently launched ‘Clean India Mission’ (Swachh Bharat Mission) on
the Production Possibilities curve of the economy and why?
Q23.What will likely be the impact of large scale outflow of foreign capital on Production Possibilities
curve of the economy and why?
Q24.A consumer spends ` 1000 on a good priced at ` 8 per unit. When price rises by 25 per cent, the
consumer continues to spend ` 1000 on the good. Calculate price elasticity of demand by percentage
method.
Q25.A consumer consumes only two goods X and Y both priced at ` 3 per unit. If the consumer
chooses a combination of these two goods with Marginal Rate of Substitution equal to 3, is the
consumer in equilibrium? Give reasons. What will a rational consumer do in this situation?Explain.
Q26.A consumer consumes only two goods X and Y whose prices are ` 4 and ` 5 per unit respectively.
If the consumer chooses a combination of the two goods with marginal utility of X equal to 5 and that
of Y equal to 4, is the consumer in equilibrium? Give reasons. What will a rational consumer do in this
situation? Use utility analysis.
Q28.When does ‘increase’ in demand take place?
Q29.A consumer consumes only two goods X and Y. Marginal utilities of X and Y are 5 and 4
respectively. The prices of X and Y are Rs. 4 per unit and Rs. 5 per unit respectively. Is the consumer
in equilibrium? What will be the further reaction of the consumer? Explain.
Q30.Price elasticity of demand of good X is –2 and of good Y is –3. Which of the two goods is more
price elastic and why?
Q31.Assuming that no resource is equally efficient in production of all goods, name the curve which
shows production potential of the economy. Explain, giving reasons, its properties.
Q32. Differentiate between change in demand and change in quantity demanded.
Q33. Explain any 6 factors that can influence the elasticity of demand.
Q34. Draw the different elasticity of demand curves.
Informatics Practices ( I. P. )
a)
b)
c)
d)
Explain How and when do you use getText() & setText() methods?
Differentiate of its‟ applications: isEditable() & isEnabled()
Write the use of valueOf() method and output of the statement: float x=999.101 ; jLabel1.setText(String.valueOf(x));
Write the function of toString() method.
e) Why do you use import javax.swing.JOptionPane ? Describe the two applications of JOptionPane class of the
package javax.swing
f) Which swing components does javax.swing.JPanel container contain?
g) Write the application of the method getPassword() with a right example.
h) How do you insert single lined and multiple lines comments?
i) What are the members of Java Tokens?
j) Differentiate: (a) Identifiers & Keywords , (b) Primitive & Reference Datatype , (c) Local & Instance(object) variable , (d)
Logical & Relational operators, (e) \t & \n , (f) \b & \r , (g) / & % operators l)
Differentiate: (i) int x=10 & final int y=10; (ii) (int k=10) & (int k==10)
k)What is use of default in switch…..case statement?
l) When do you use break in switch…..case?
m) What are pre and post increments? Can you explain pre & post decrement also with example?
n) What will happen if you run a break statement in for loop? When do you use for loop?
o) How do you differentiate the applications of: while and do……while statements?
p) What are exit-control and entry-control looping statements? Explain with example.
q) In a Java application using Net Beans IDE, the user views the data on the Text Fields, he found that – his name is
misspelled, now he wants to edit it, but can‟t. What was done by the programmer that does not allow the user to edit his
name?
r) How do you enable the jLabel1?
s) How do you insert values into the TextArea? Write the syntax in terms of inputing value of i: for(i=1;i<=10;i++)?
t) Rashmi in her desktop application wanted to show her friend‟s names in the List Box and their city names in the Combo
Box.
u) Which property of the List Box and Combo Box will she use to do her jobs?
v) When do you import javax.swing.DefaultListModel; & import javax.swing.DefaultComboBoxModel; ?
w) What is Panel Container? In which package does it stay?
x) When do you use Check Box and Radio Button? Establish the relation between the use/application of Radio Button and
Combo Box.
y) Differentiate: (i) String x = (String) jList1.getSelectedValue() & String x = (String) jComboBox1.getSelectedItem() (ii)
isSelected() & setSelected() (iii) Text1.setForeground() & Text1.setFont()
(iv) getText() & setText() (v)
getSelectedIndex() & getSelectedValue() (vi) addElement()
& insertElementAt() (vii) removeAllElements() &
removeElementAt() (viii) remove() & clear() (xi) getModel()
& setModel() (x) isEnabled() & setEnabled() (xi)
JOptionPane.MessageDialog( ) and JOptionPane.InputDialog( )
z) What is swing control? (Z.1) Write the output of x in the following case:> int x = (5>=8) ? 1 : 2;
English
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Writing Skills:1 You wish to rent out your flat. Draft an advertisement for the newspaper
.2 You are going abroad You wish to sell your furniture, Draft an advertisement to be
to be published in daily newspaper in about 50 words.
3 You have lost your suitcase while travelling from Delhi to Agra. by Rajdhani Express.
Draft an advertisement for the same for Times of India in about 50 words.
4 You are John /Jany the sports Incharge of Grand Public School Agra. You are planning to
organize a tour to Singapore and Malaysia. Write a letter to the National Travel Agency, Delhi,
enquiring about charges facilities and all other necessary details.
5 Write a letter to the editor of the Times of India drawing the attention of the concerned
authorities towards the garbage dump in every part of Noida. Give your suggestions also. You
are Raman/ Reema of 10 Safdarjang Development Area.
6 Write an article on " Students disqualified for cheating for your school magazine.
Answer the following questions:
Chapter: The Last Lesson
1 Why was Franz late for the school?
2 What did Mr Hamel tell about the French language?
3 Whom did he blame for not getting educatedor not learning lessons:
4 Describe the last lesson conducted by Mr. Hamel.
Chapter: Lost Spring:
1 Why was Alam not happy working in a tea stall?
2 Describe the conditions of the rag- pickers of Seema Puri With special reference
to the life of Saheb-e- Alam?
3 Who were responsible to make the life of the bangle makers miserable? Why
could not they come out of the miserable life?
4 Who is Mukesh? what was his dream?
5 Describe the living condition of the Bangle makers of Ferozabad as observed by
the author of the lost spring?
Chapter: Deep Water:
1 How did William Douglas develop fear of water?
2 What was his misadventure?
3 What was the misadventure that happened when Douglas was introduced to the
YMCA Pool?
4
How did the instructor make him a good swimmer?
4 Describe Douglas experience as he was drowning in the YMCA pool?
5 How did William Douglas get rid of his fear of water?
Chapter: My mother at sixty six
1 What is the poet's mother being compared to?
2 What fear did the sight of the poet's mother trigger in the mind of the poet?
3 Pick out an example of imagery.
4 What is the familiar ache that the poet talks of?
5 How did the poet expresse3d the irony in the last two lines?
Chapter: The Tiger King
1 How did the Tiger king get his name?
2 What had made the chief astrologer surprised when the Tiger king was born?
3 How did he challenge the Tiger king?
4 How was the Tiger king brought up in his childhood?
5 What steps did the Tiger take to safe guard his life?
The Invisible Man: 1
1 Write the Character of Mrs Hall.
2 Why does Mrs Hall send Teddy Henfrey
3 What kind of stories are spread about the stranger Mr. Griffin?
4 Who is Mr. Cuss? why does he get perturbed after meeting the stranger.
ENTREPRENEURSHIP
Q1.Differentiate between a private company and a public company on the basis of minimum and
maximum number of members required?
1
Q2.What is ‘Value Added Tax’ (VAT)?
1
Q3.List any two factors included in ‘micro environment’?
1
Q4.Hina, was manufacturing beauty products and was always on the lookout to improvise her
products. . She used social media and online surveys to understand the latest trend in customer needs
and overall in the cosmetics industry. . Through the surveys, she understood that the customers prefer
natural ingredients like multanimitti or neem in place of chemicals in the beauty products.Responding
to the customers’ needs, she developed a ‘MultaniMitti cum neem face pack’ in an attractive package.
It was highly priced as she knew that the customers will be ready to pay the price for the quality. Her
face pack was an instant success.Identify the ‘Way’ inwhichHina spotted this trend.
1
Q5. What is the crucial aspect of enterprise process diagram.
1
Q6. Name the environmental factor which relates to welfare and safety of employees.
1
Q7. Why does the entrepreneur need to assess feasibility?
2
Q8.What should be the action plan of a production manager?
2
Q9. What are the major objectives of the Project Report?
2
Q10.Give the meaning of ‘routing’ and ‘scheduling’ as elements of operational plan.
2
Q11.Sailesh had started his business of dairy products in 2013. He wanted to expand his business but
did not have the necessary funds. One of his friends suggested that he should approach Mr. Goel, a
venture capitalist for further funds. When Sandeep approached Mr.Goel, he was given three minutes
for explaining his business proposition. Identify and explain the format of business plan referred in the
above para.
2
Q12.Hema Enterprises is dealing in Health Drinks. The enterprise has been manufacturing ‘Mother’s
Choice’ a malt based health drink. Adapting to the latest market trends she decided to bring out an
improved form of fortified health drink with vitamin B-12, iron and minerals to increase immunity.
She believed that by modifying the product she will be able to create a new product. Identify the
concept and define it.
2
Q13.State the steps in the ‘Creative Process’ after the ‘stage of preparation’?
3
Q14.Deepika wanted to pitch in to reduce the financial crisis prevailing in her house and thought of
working as a cook. She started working in three different households, one Punjabi, One Gujrati and
one South Indian family. She soon realized that all the three households had different cuisine. It was
indeed a challenge for her to learn the techniques of the cuisine. All the families greatly appreciated the
timeframe within which she had mastered the local cuisine. After working for them for a year, she
decides to open a small eating joint of her own along with two of her friends by the name ‘ApnaBhoj’.
They decided to share profits equally and that each of them will be liable for acts performed by the
other two. Soon the eatery became a hot spot because of the fusion platter which was being offered.
(a) Identify the kind of business organisation which was set up by Deepika and her friends.
(b) Quoting the lines from the paragraph, state the features of this form of business organization.
3
Q15.State the major heads of the Feasibility report.
3
Q16.Explain 'Demand Driven Ideas' and 'Trading Related Ideas' as Idea fields.
3
Q17.List the three basic qualities that a good entrepreneur should have.
3
Q18.State the elements of ‘Innovation Process’?
4
Q19.Shiela after graduating from college went back to her home town in Meghalaya. It was a small
town with very few job opportunities. The Karbi tribal women in that area were uneducated but still
practiced the method of obtaining traditional coloursfrom natural wild herbs. Their most popular dye
was indigo obtained from the leave called ‘sibu’. Using these colours they added variety to their
textiles. The women were mainly confined to their homes and they did not know how to make a living
out of their talent. Shiela went from door to door analysed the problem that existed. She thought of
setting up a voluntary association of rural women who would be able to join and leave the organisation
at their own will without any coercion or intimidation.
(a) Name the process which helped Shiela in converting an idea into an opportunity.
(b) Identify the kind of organisation that Shiela has decided to set up.
(c) State any two values which Shiela wants to communicate to the society.
4
Q20. 'Continuous interaction between knowledge, strategy and action is needed to develop an
enterprise'. Comment using the Enterprise Process Model diagram.
4
Q21. Should pollution control systems be a part of the plant design of an enterprise? Why?4
Q22.Disha, a graduate of Horticulture from Kurushetra University came across a barren land near
Solan when she visited this place. Disha was fond of strawberries and was inquisitive to understand the
reason why strawberries could not be grown there. She was informed by the local authorities that the
land was infertile for raising strawberries. She took this as a challenge and believed in its success. Best
quality strawberries now mark the beauty of that barren piece of land.
(a) Identify and explain the ‘idea field’ from where the idea has been generated.
(b) Also explain and give one example each for four other idea fields which may generate useful
product ideas.
6
Q23. Describe the important elements of a Production plan.6
Q24. What is an operation plan? Why does an entrepreneur need the operation plan?6
Important Questions
Mathematics
1.
Show that the relation R defined on the Set A of all the triangles in a plane as R = { (T1T2) : T1 is similar
to T2} is an equivalence relation.
2.
Show that the Relation "is congruent to" on the set of all the triangles in a plane is an equivalance
relation.
3.
Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Let R1 be a relation X given by R1 = {(x,y) x - y is divisible by 3 and R2 be
another relation on X given by R2 = {(x.y): {x.y} C {1, 4, 7, 3} or {x, y} E {2, 5, 8} or {x, y} C {3, 6, 9}. Then
show that R1 = R2.
4.
Check the following relation l1Rl2 such that l1l2 is the equivalence relation. l1 an l2 are straight lines.
5.
Check the relation l1Rl2 such that l1l2, where, l2 are the straight lines in a plane for reflexivity
symmetry and transitivity.
6.
Show that the relation R on the set A = {1, 2, 3, 4, 5, 6, 7} by R = {(a.b) : a - b is a multiple of 4} is an
equivalence relation.
7.
Show that the function f: R  R defined by f (x) = 3x3 + 5 x ɛ R is one - one and onto.
8.
Show that the function f: N  N defined by f (n) =
9.
Show that the function f: N  N defined by f (n) =
𝑛+1
If n is odd
2
𝑛
If n is even
2
n + 1 If n is odd
n - 1 If n is even
is one - one onto.
is one - one onto.
10. Show that the function f (x) = x - [x] is neither one - one nor onto.
11. Show that the function f: N  N f (x) = 2x is one - one but not onto.
12. Show that the function f: N  N f (x) = x2+ x + 1 is one - one but not onto.
13. Show that the signum function f: R R defined by f (x) =
1 x>0
0 x = 0 is neither one - one nor onto
-1 x < 1
14. Show that the function f (x) = 2x - 3 f : R  R. is one - one onto function.
15. Show that the function f : R  R given by f (x) = x is neither one - one nor onto.
Mathematics
Assignment - 1
16. Express the matrix A = 2
-1
-4 as the sum of a symmetric and skew symmetric matrix.
-1
3
4
1
-2
-3
17. For any square matrix with real numbers prove that A + A' is symmetric matrix and A - A' is skew
symmetric matrix.
18. Find the area of the triangle with vertices (2, 7) (1, 1) (10, 8).
19. Find the equation of the line joining (3, 1) and (9, 3).
20. If A =
3,
2
7
5
and B = 6
7
8
9
then verify (AB)-1 = B-1A-1
21. For the matrix A =
1
1
1
1
2
-3
2
-1
3
then show that A3 - 6A2 + 5A + 11I = 0. Hence find A-1 also.
22. Find the ad joint of the matrix 1
-1
2 and verify A (adj A) = (adj A) A = AI
2
3
5
-2
0
1
23. Solve the following system of equations using matrix method:
(i) 2x + 5y = 1
(ii) 3x - 2y + 3z = 8
(iii) x - y + z = 4
3x + 2y = 7
2x + y - z = 1
2x + y - 3z = 0
4x - 3y + 2z = 4
x+y+z=2
(iv) 2x + 3y + 3z = 5
(v) x - y + 2z = 7
x - 2y + z = -4
3x + 4y - 5z = -5
3x - y - 2z = 3
2x - y + 3z = 12
24. If A = 2
-3
5
3
2
-4
1
1
-2
find A-1 and using A-1 solve the system equations 2x - 3y + 5z = 11
3x + 2y - 4z = -5
x + y - 2z = -3
25. If A =
1
-1
1
2
1
-3
1
1
1
-1
Find A and hence solve the system of equations x + 2y + z = 4
-x + y + z = 0
x - 3y + z = 2
J
26. If A = -1
B = [-2 -1 -4] verify (A - B) = BJ AJ
2
3
27. Show that the points A (a, b + c) B (b, c +a) and C (c, a + b) are collinear.
Mathematics
Assignment - 2
1.
Prove that: tan-1
1
5
+ tan-1
2.
Show that: sin-1
8
+ sin-1
3
3.
Prove that: cos-1
+ cos-1
12
4.
Prove that: cat-1
5.
Show that sin-1
6.
Solve: tan-1 2x + tan-1 3x = /4
7.
Show that: sin-1
8.
If tan-1
9.
Solve: tan
𝑥−1
𝑥−2
17
4
5
12
13
3
5
+ cos-1
- sin-1
𝑥+1
sin-1
2𝑥
2
+ tan-1
1
= tan-1
5
13
+ tan-1
3
3
5
(iv) sin-1 sin
8
=

4
77
36
= cos-1
𝑥+2
1+𝑥2
4
5
8
17
+ tan-1
= cos-1
63
6
33
65
=
84
85
= /4. Then find the value of x.
+ cos-1
1−𝑦2
1+𝑦2
10. Find the value of the followings:
(i) sin-1 sin
1
1 + sin 𝑥 + 1 − sin 𝑥 = x/2
1 + sin 𝑥 - 1 − sin 𝑥
+ tan-1
1
1
7
(ii) tan-1 tan
3
4
(iii) cos-1 cos
7
6
2
3
11. Write in simplest form tan-1
12. Write in simplest form tan-1
1 − cos 𝑥
1 + cos 𝑥
cos 𝑥−sin 𝑥
cos 𝑥+sin 𝑥
Home Science
__________________________________________________________________________________________
1.
2.
Do Board Questions of Ch - 1 and 2.
Prepare practical record file.