1 HOLIDAYS HOMEWORK(2015-16) CLASS XII ENGLISH Q1. Read the novel “The Invisible Man” at home and write its summary in your English notebook. Q2. Draw the character sketch of Hr. Griffin Dr. Kamp Mrs. Hall Mr. Thomas Marvel Q3. How did the invisible man, Mr. Griffin, meet his end? Q4. Why was the invisible man, Mr. Griffin fearful of dogs? Q5. Do you think that the end of the Novel was ‘first and fair’? Q6. Try to give another twist to the end in your own words. (Write the epilogue (end) in your own words) Q7. Read the newspaper daily and paste at least four reports and four articles in your notebook. Frame four questions answers from them and four vocabularies from each of them. Q8. Paste any two public awareness posters in a notebook.
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1
HOLIDAYS HOMEWORK(2015-16)
CLASS XII
ENGLISH
Q1. Read the novel “The Invisible Man” at home and write its summary in your English notebook.
Q2. Draw the character sketch of
Hr. Griffin
Dr. Kamp
Mrs. Hall
Mr. Thomas Marvel
Q3. How did the invisible man, Mr. Griffin, meet his end?
Q4. Why was the invisible man, Mr. Griffin fearful of dogs?
Q5. Do you think that the end of the Novel was ‘first and fair’?
Q6. Try to give another twist to the end in your own words. (Write the epilogue (end) in your own words)
Q7. Read the newspaper daily and paste at least four reports and four articles in your notebook. Frame four
questions answers from them and four vocabularies from each of them.
Q8. Paste any two public awareness posters in a notebook.
2
ECONOMICS
1. What is fundamental psychological law.
2. Give the reason for the operation of law of diminishing marginal utility.
3. Is the consumption a continuous process? Give reasons.
4. Give the various properties of indifference curve.
5. What is the law of demand. Explain with schedule and curve.
6. Differentiate between:
a) Normal goods and inferior goods
b) Intermediate goods and final goods
7. How can one good be intermediate and final both? Explain with example.
8. Classify the term movement along with demand curve and shift in demand curve.
9. Explain the various methods of measuring elasticity of demand.
10. Solve 10 numerical problems based on calculation of Ed.
3
ACCOUNTANCY
1. Alka , Barkha and charu are partners in a firm having no partnership deed. Alka , barkha and charu
contributed 2,00,000
3,00,000 and 1,00,000 respectively. Alka and barkha desire that the profit should be divided in the
ratio of capital contribution. Charu does not agree to this. How will you settle the dispute.
2. A and B started a partnership business on 1st april’13. They contributed 6,00,000 and 4,00,000
respectively as their capitals. The terms of the partnership agreement are as under:
a. Interest on capital and drawing @ 6% p.a
b. B is to get a monthly salary of 2500
c. Sharing of profit or less will be in the ratio of their capital contribution.
The profit for the year ended 31st mar’14 , before making above appropriate was 2,07,400
The drawing of A and B were 48,000 and 40,000 respectively. Interest on drawing amounted to
1,500 for A and 1,100 for B. prepare profit and loss appropriation account and partner’s capital
accounts assuming that their capital are fluctuating.
3. P, Q and R are in partnership. P and Q sharing profits in the ratio of 4:3 and R is receiving a salary of
20,000 p.a plus 10% of profits after charging his salary and commission or 1/6 th of the profits of the
firm whichever is more. Any excess of the later over4 the former received by R is under the partnership
deed , to be borne by P and Q in the ratio of 3:2. The profit for the year ending 31st march’12 came to
3,85,000 after charging R’s salary . divide the profit among partners.
4. Name any two factors affecting goodwill of a partnership firm.
5. P,Q and R are in partnership sharing profits and losses in the ratio of 5:4:3 on 31st march’13 their
balance sheet was as follow:
liabilities amount assest amount
Sundry creditors 50,000 Cash at bank 40,000
o/s expenses 5,000 Sundry debtors 2,10,000
General reserve 75,000 Stock 3,00,000
Capital amount P 4,00,000 Q 3,00,000 R 2,00,000
9,00,00
Furniture 60,000
Plant and m/c 4,20,000
10,30,000 10,30,000
It was decided that w.e.f 1st april’13 the profit sharing will be 4:3:2 . for their purpose the following revaluation
were under:
a. Furniture be taken at 80% of its value
b. Stock be appreciated by 20%
c. Plant and machinery be valued at 4,00,000
d. Create provision for doubtful debts for 10,000 on debtors
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e. o/s expanses be increased by 3,000. Partners agreed that altered values are not be recorded in the
books and they also do not want to distribute the general reserve.
f. You are required to port a single journal entry to give effect to the above. Also prepare the required
balance sheet.
6. A,B and C are partners in a firm sharing profit and losses in the ratio of 3:2:1 . They decided to take D
into partnership for ¼ th share on 1st april’11. For this purpose, goodwill is to be valued at 3 times the
average annual profit of the previous four or five years whichever is higher. The agreed profits gor
goodwill purpose of the past five years are as follows:
Year ending on 31st mar’07 1,30,000
On 31st mar’08 1,20,000
On 31st mar’09 1,50,000
On 31st mar’ 10 1,10,000
On 31st mar’11 2,00,000 Calculate the value of goodwill.
7. Calculate the interest on drawing of sh. Ganesh @ 9% p.a for the year ended 31st mar’07 , in each of
the following alternative cases:
Case 1:
a. if he withdraw 4,000 p.m in the beginning of every month
b. if he withdraw 5,000 p.m at the end of every month
c. if he withdraw 6,000 p.m
d. if he withdraw 72,000 during the year
e. if he withdraw as follows
30th april’2006 10,000
1st july’2006 15,000
1st oct’2006 18,000
30th nov 2006 12,000
31st mar’2007 20,000
8. The partners of a firm distributed the profits for the year ended 31st mar’03, 1,50,000 in the ratio of
2:2:1 without providing for the following adjustment:
a. A and B were entitled to a salary of 1,500 per quarter
b. C was entitled to commission of 18,000
c. A and C had guaranteed a minimum profit of 50,000 p.a to B
d. Profit were to be shared in the ration of 3:3:2.
e. Pass necessary journal entry for the above adjustment in the books.
9. The following information relates toa firm of yuvraj, maharaj and raghuraj:
a. Profits for the last 4 years:
2000 2,50,000 (profit)
2001 2,70,000( profit)
2002 1,80,000( loss)
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2003 5,24,000( profit)
b. Remuneration to each partner 1000 p.m
c. Average capital employed in the business 8,00,000
d. normal rate of return 15%
e. assest 8,75,000, liabilities 32,000
you are required to calculate the value of goodwill
i. At 2 years purchase of average profits
ii. At 3 years’ purchase of super profit
iii. On the basis of capitalization of super profits
iv. On the basis of capitalization of average profits
10. How would you calculate interes on drawings of equal amount drawings of equal amount drawn on the
first day of every month.
Project : prepare comprehensive project.
6
BUSINESS STUDIES
Q1. To meet the objectives of firm, the management of JMD ltd. Offers employment to the physically
challenged persons. Identify the managerial objectives it is trying to achieve.
Q2. Aman is working as File manager executive in ABC ltd. At what level of management is he working?
Q3. Name the technique of Taylor which is the strongest motivator for a worker to reach standard
performance.
Q4. “ Management principles have a scope of modification depending upon the demands of situation.”
Identify the characteristics of management principles.
Q5. What is meant by Gang Plank?
Q6. In fashion industries, it is difficult to predict what is going to happen in future. Identify the characteristics
of business environment.
Q7. Mrs. Renu and Mr. Mohit are data entry operators in a company having same educational qualifications.
Renu is getting Rs. 10,000 per month and Mohit gets Rs. 15000 per month as salary for same working
hours.
a) Which principle of management is violated in this case? Name and explain which principle of
management is violated in this case? Name and explain which principle of management does
functional foremanship violate?
Q8. Karan enterprise limited is facing a lot of problems. It manufactures pens. It is suffering losses due to
surplus of production of pens. The production department produces more of pens than required and
sales department is able to sell those many pens. What quality of management, Do you think the
company is lacking?
Q9. ABC ltd is running very smoothly. It is making huge profits. The reason behind this is the relation
between workers and management. Workers and managers carry on with their respective works in
cooperation with each other. There is existence of mutual confidence and understanding for each other.
The management even takes worker into confidence before setting up standard for their task.
a) Which principle of Taylor is applied by ABC ltd?
b) Explain the principle and two consequences of violating it.
Q10. The court passed on order to ban polythene bags as
a) These bags are creating many environmental problems which affects the life of people in general.
b) Society in general is more concerned about quality of life.
c) The government decided to give subsidy to jute industry to promote this business. Innovative
techniques are being developed to manufacture jute bags at low rates. Incomes are rising and
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people can afford to buy these bags. Identify the different dimensions of business environment by
quoting lines from the above particulars.
Project work on principles of management or business environment as per CBSE guidelines.
8
MATHS
MATRICES
Ex 1
Q1 If A is a matrix of type p × q and R is a row of A,
then what is the type of R as a matrix ?
Q2 If A is a column matrix with 5 rows, then what
type of matrix is a row of A.
Q3
(i) If the matrix has 5 elements, write all the
possible orders it can have ?
(ii) If a matrix has 8 elements, what are the
possible order it can have ?
(iii) If a matrix has 18 elements, what are the
possible order it can have ?
(iv) If a matrix has 24 elements, what are the
possible order it can have ?
Q4
(i) For 2 × 2 matrix, A = [a i j] whose elements are
given by 𝑎 𝑖 𝑗 =𝑖
𝑗, write the value of a12 .
(ii) If A is a 3 × 3 matrix whose elements are given
by 𝑎 𝑖 𝑗 =1
3[−3 𝑖 + 𝑗] write the value of a23.
(iii) Construct a 2 × 2 matrix A = [a i j] whose
elements a i j are given by a i j = i + 2 j.
(iv) Construct a 2 × 2 matrix A = [a i j] whose
elements a i j are given by
a) a i j = 2 i j b) a i j = (i 2j)2
c) a i j = |2i 3j|
(v) Constant a 2 × 3 matrix B = [b i j] whose
elements b i j are given by
a) b i j = i 3j
b) b i j = (i + 2j)2
Q5 Find the value of x , y.
(i) 𝑥 + 3 4𝑦 − 4 𝑥 + 𝑦
= 5 43 9
(ii) 𝑥 + 2𝑦 −𝑦
3𝑥 4 =
−4 36 4
(iii) 𝑥 + 3𝑦 𝑦7 − 𝑥 4
= 4 −10 4
(iv) 𝑥 − 𝑦 2
𝑥 5 =
2 23 5
(v) 3𝑥 + 𝑦 −𝑦2𝑦 − 𝑥 3
= 1 2
−5 3
(vi) 2𝑥 − 𝑦 3
3 𝑦 =
6 33 −2
(vii) 2𝑥 + 𝑦 4𝑥5𝑥 − 7 4𝑥
= 7 7𝑦 − 13𝑦 𝑥 + 6
Q6 Write the value of x y + z from the equation
𝑥 + 𝑦 + 𝑧
𝑥 + 𝑧𝑦 + 𝑧
= 957
Q7 If 𝑥𝑦 4
𝑧 + 6 𝑥 + 𝑦 =
8 𝑤0 6
, find the value of
x , y , z , w.
Q8 What is the number of all possible matrix of
order 3 × 3 with each entry 0 or 1.
Q9 If
𝑥 + 3 𝑧 + 4 2𝑦 − 7
4𝑥 + 6 𝑎 − 1 0𝑏 − 3 3𝑏 𝑧 + 2𝑐
=
0 6 3𝑦 − 2
2𝑥 −3 2𝑐 + 22𝑏 + 4 −21 0
Find the value of a, b, c, x, y, z.
Ex 2
Q1 Find the value of k, a non – zero scalar, if
2 1 2 3
−1 −3 2 + 𝑘
1 0 23 4 5
=
4 4 104 2 14
Q2 Solve for x and y
2𝑥 + 3𝑦 = 2 34 0
3𝑥 + 2𝑦 = −2 21 −5
Q3 If 𝐴 = 2 43 2
, 𝐵 = 1 3
−2 5 , 𝐶 = −2 5
3 4
9
Find the following
(i) A + B
(ii) A B
(iii) 3A C
(iv) 2A 3B
(v) 2A B
Q4 (i) if 𝐵 = −1 50 3
and 𝐴 − 2𝐵 = 0 4
−7 5
Find the matrix A.
(ii) If 9 −1 4
−2 1 3 = 𝐴 +
1 2 −10 4 9
then find the matrix A.
Q5 If A = diagonal (1, 2,5) , B = diagonal (3,0, 4)
and c = diagonal (2, 7, 0) then find
(i) 3A 2B (ii) A + 2B 3c
Q6 Find x , y , a , b , c , k .
(i) 𝐴 = 2 −35 0
and 𝑘𝐴 = 8 3𝑎
−2𝑏 𝑐
(ii) 𝑥 23 + 𝑦
−11
= 105
(iii) 𝑥2
𝑦2 + 2 2𝑥3𝑦
= 3 7
−3
(iv) 2 1 30 𝑥
+ 𝑦 01 2
= 5 61 8
(v) 2 𝑥 57 𝑦 − 3
+ 3 −41 2
= 7 6
15 14
(vi) 3 𝑎 𝑏𝑐 𝑑
= 𝑎 6
−1 2𝑑 +
4 𝑎 + 𝑏𝑐 + 𝑑 3
Q7 Find X and Y , if
(i) 𝑌 = 3 21 4
and 2X + Y = 1 0
−3 2
(ii) 𝑋 + 𝑌 = 5 20 9
and 𝑋 − 𝑌 = 3 60 −1
(iii) 2X Y = 6 −6 0
−4 2 1 and X + 2 Y =
3 2 5−2 1 −7
(iv) If A = −1 23 4
and B = 3 −21 5
and 2A + B + X = 0
(v) Find X if 3A 3B + X = 0 where 𝐴 = 4 21 3
and 𝐵 = −2 13 2
(vi) 𝐴 = 8 04 −23 6
and 𝐵 = 2 −24 2
−5 1
Find X if 3A + 2X = 5B.
Ex 3
Q1 (i) Write the order of the product of matrix
123 3 3 4
(ii) Write the order of AB and BA if A = [1 2 5]
and 𝐵 = 2
−17
(iii) Write the order of AB and BA if
𝐴 = 2 1 44 1 5
and 𝐵 = 3 −12 21 3
Q2 If 𝐴 = 0 −10 2
and 𝐵 = 3 50 0
Find AB.
Q3 (i) If 3 25 7
1 −3
−2 4 =
−1 −1−9 𝑥
Find x.
(ii) Find x + y + z if 1 0 00 1 00 0 1
𝑥𝑦𝑧 =
1−10
Q4 If 𝐴 = 1 00 −1
and 𝐵 = 0 11 0
Find AB and BA.
Q5 (i) Give an example of two non – zero 2 × 2
matrix A and B such that AB = 0.
Q6 Find the Product of
𝑥 𝑦 𝑧
𝑎 𝑔 𝑏 𝑓𝑔 𝑓 𝑐
𝑥𝑦𝑧
Q7 If 𝐴 = 0 0
−1 0 find A6.
Q8 If 𝐴 = 𝑥 𝑦𝑧 −𝑥
and A2 = I.
Find the value of x2 + yz
Q9 If 𝐴 = 1 22 1
then show that A2 = 2A + 3I
Q10 If A is a square matrix such that A2 = A then
show that (I + A)3 = 7A + I.
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Q11 Simply 1 −2 3 2 −1 50 2 47 5 0
−
2 −5 7
Q12 If 𝐴 = 2 −13 2
and 𝐵 = 0 4
−1 7
Find 3A2 3B + I.
Q13 Solve for x and y
(i) 2 −31 1
𝑥𝑦 =
13
(ii) 𝑥 𝑦
3𝑦 𝑥 12 =
35
Q14 If 𝐴 = cos 𝛼 sin 𝛼
− sin 𝛼 cos 𝛼 show that
𝐴2 = 𝑐𝑜𝑠2 𝛼 𝑠𝑖𝑛2𝛼−𝑠𝑖𝑛2𝛼 𝑐𝑜𝑠2𝛼
Q15 If 𝐴 = 3 −5−4 2
show that A2 5A 14I
= 0
Q16 If 𝐴 = 4 2
−1 1 prove that (A 2I) (A 3I) = 0
Q17 Find K if A2 = KA 2I, 𝐴 = 3 −24 −2
Q18 (i) If 𝐴 = 1 22 1
show that
f (A) = 0 where f (x) = x2 2x 3
(ii) If = −1 23 1
, find f (A), where f (x) = x2
2x + 3
Q19 If 𝐴 = 2 31 2
, and 𝐼 = 1 00 1
(i) Find , so that A2 = A + T
(ii) Prove that A3 4A2 + A = 0
Q20 Find x if
(i) 1 𝑥 1 1 3 22 5 1
15 3 2
12𝑥 = 0
(ii) 1 2 1 1 2 02 0 11 0 2
02𝑥 = 0
Q21 If 𝐴 = 2 3
−1 2 show that
A2 4A + 7I = 0, Hence find A5.
Q22 If 𝐴 = 0 02 0
find A10
Q23 (i) If 𝐴 = 𝑎 10 𝑎
prove that 𝐴𝑛 = 𝑎𝑛 𝑛𝑎𝑛−1
0 𝑎𝑛
n N
(ii) If 𝐴 = 3 −41 −1
prove that
𝐴𝑛 = 1 + 2𝑛 −4𝑛
𝑛 1 − 2𝑛
n N
(iii) If 𝐴 = 1 11 1
prove that for n N
An = 2𝑛−1 2𝑛−1
2𝑛−1 2𝑛−1
Q24 Find the matrix A su that
(i) 𝐴 1 −21 4
= 6𝐼2
(ii) 𝐴 3 −4
−1 2 = 𝐼2
(iii) 1 10 1
𝐴 = 3 3 51 0 1
Ex 4
Find the inverse of the following matrix
(i) 2 35 7
(ii) 1 32 7
(iii) 3 102 7
(iv) 1 −12 3
(v) 10 −2−5 1
(vi) 3 0 −12 3 00 4 1
(vii) 1 2 32 5 7
−2 −4 −5 (viii)
2 −1 44 0 23 −2 7
(ix) −1 1 21 2 33 1 1
(x) 1 3 −2
−3 0 −52 5 0
Ex 5
Q1 If 𝐴 = 2 −3 0
−1 4 5 then find (3A)T
Q2 If 𝐴 = 2 −1 54 0 3
and 𝐵 = −2 3 1−1 2 −3
Find AT + BT
Q3 If = cos 𝑥 sin 𝑥
− sin 𝑥 cos 𝑥 , 0 < x < π / 2
And A + AT = I. find x.
Q4 Find x , y, z if
(i) 0 6 − 5𝑥𝑥2 𝑥 + 3
is symmetric
(ii) −2 𝑥 − 𝑦 51 0 4
𝑥 + 𝑦 𝑧 7 is symmetric
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(iii) 0 −1 −2
−1 0 3𝑥 −3 0
is skew symmetric
(iv) 0 𝑎 32 𝑏 −1𝑐 1 0
is skew symmetric.
Q5 (i) If A is square matrix prove that AT A is
symmetric
(ii) If A , B are symmetric matrix and AB = BA .
Show that AB is symmetric Matrix.
(iii) If A , B are square matrix of equal order, B is