NUTAN VIDYA MANDIR DELHI- 93
HOLIDAYS HOMEWORK SESSION 2015-2016
CLASS X1
SUBJECT : MATHS
Instruction: Holiday Homework to be done on a seperate register.
Q 1 Explain the difference between a collection and a set.Justify your answer
1
2 3 4 5 5 6
Q 2 Write the set{ , , , , , , } in the set – Builder form
2 3 4 5 6 6 7
Q 3 Write the set
x : x is a positive integer and x 2< 40} in Poster form.
Q 4 let A = {{ 1,2,3},{4,5,} {6,7,8}}. Determine true or false:a)
b)
c)
d)
e)
f)
1∈𝐴
{ 1,2,3} CA
{6,7,8} ∈ 𝐴
{{4,5}}CA
∅∈𝐴
∅∁𝐴
Q 5 Let A = Set of all rational numbers and B = { x: x2 - 4x+2=0}. Then find A-B,BA,𝐴 ∩ 𝐵.
Q 6 Out of 20 members of a family , 11 like to take tea and 14 like coffee. Assume
that each one likes atleast one of the two drinks .how many like:a) Both tea and coffee
b) Only tea and not coffee
c) Only coffee and not tea?
Q 7 In a survey of 25 students it was found that 15 had taken Mathematics, 12
had taken Physics and 11 had taken chemistry, 5 had taken Maths and
chemistry,9 had taken Maths and Physics ,4 had taken Physics and Chemistry and
3 had taken all three subjects. Find the number of students that had taken:a)
b)
c)
d)
e)
f)
g)
h)
Only Chemistry
Only Maths
Only Physics
Physics and chemistry but not Maths
Maths or Physics but not chemistry
Exactly 2 subjects
Atleast one of three subjects
None of the three subjects
Q 8 A wheel rotates Making 20 revolutions per second. If the radius of the wheel
is 35 cm . What linear distance does a point of its rim traverse in three minutes?
Q 9 Convert as per indicated:a) 1500 into radian measure.
b) 700 60’ into radian measure.
c) 6c into degree measure.
d)
5𝜋
6
into degree measure.
Q 10 Find the angle between the minute hand and the hour hand of a clock when
the time is 7:20.
Q 11 A Railway engine is travelling along a circular railway track of radius 1500m
with a speed of 66km/hr. Find the angle turned by the engine in 10 seconds.
Q 12 If 𝜃 lies in the fourth quadrant and cos 𝜃=5/13 , find the
a) sin 𝜃 and tan 𝜃
b)
13 sin 𝜃+5 𝑠𝑒𝑐𝜃
5 𝑡𝑎𝑛𝜃+6 𝑐𝑜𝑠𝑒𝑐𝜃
Q 13Evaluate:1. sin
31𝜋
3
, sin (
−11𝜋
3
), cos (-17100),tan (
19 𝜋
3
)
Q 14Prove that:Cos2
𝜋+
8
3𝜋+
Cos2
8
5𝜋+
Cos2
8
Cos2
7𝜋 = 2
8
Q 15 Prove that:tan 3𝜃 tan 2𝜃 tan 𝜃 = tan 3𝜃 − 𝑡𝑎𝑛2𝜃 − 𝑡𝑎𝑛𝜃
3
−12
5
13
Q 16 If sin𝜃 = , cos∅ =
, where 𝜃&∅ both belong to second
quadrant , find the value of sin (𝜃 + ∅)
Q 17 Prove that :
𝐶𝑜𝑠 6𝐴 = 32 𝑐𝑜𝑠 6 𝐴 − 48𝑐𝑜𝑠 4 𝐴 + 18𝑐𝑜𝑠 2 𝐴 − 1
Q 18Find
4
𝑥
𝑠𝑖𝑛2,
𝑐𝑜𝑠2𝑥 ,𝑡𝑎𝑛2𝑥 when tanx=- , 𝑥 ∈ 𝐼𝐼𝑄
3
Q 19 Find principal solution:1. tan x = −1
√3
2. sec x=-2
3. 𝑐𝑜𝑠𝑒𝑐 𝑥 = 2
√3
Q 20 Solve:1. cos4x=cos2x
2. 2 sin²x + sin²2x= 2
3.
4.
𝑡𝑎𝑛³𝑥 − 3 𝑡𝑎𝑛𝑥 = 0
𝑐𝑜𝑠𝑒𝑐 3 2𝜃 = 4 𝑐𝑜𝑠𝑒𝑐 2 𝜃
Q 21 For triangle ABC,Prove that:1.
𝑠𝑖𝑛
2. 𝑎+𝑏
𝑐
3.
4.
5.
𝐵−𝐶 = 𝑏−𝑐 cos𝐴
2
𝑎
2
=
cos(𝐴−𝐵)
2
𝑐
𝑠𝑖𝑛2
𝑎(sin 𝐵 − 𝑠𝑖𝑛𝑐𝐶) + 𝑏(sin 𝐶 − 𝑠𝑖𝑛𝐴) + 𝑐(sin 𝐴 − sin 𝐵 = 0
sin(𝐵−𝐶)
sin(𝐵+𝐶)
cos 𝐴
𝑎
=
=
cos 𝐵
𝐵
𝑏²−𝑐²
𝑎²
=
cos 𝑐
𝑐
=
𝑎²+𝑏²+𝑐²
2𝑎𝑏𝑐
SUBJECT :science
( physics)
Q 1 Write Notes on the chapter “Motion in a plane”
Q 2 Revise all the chapters.
Q 3 Make a project on any
Topic ( class XI physics)
( chemistry)
Q 1 Solved NCERT exercise questions (unit:1) on class work register.
Q 2 Make a project on any practical based topic.
( biology)
Prepare a note on “ Morphology and Anatomy of flowering plant”
SUBJECT :ENGLISH
Read the novel ‘ The Canterville Ghost’ and write the answers of
following question in about 120-150 words each:
1. Explain the events which took place immediately after otis family
entered canterville chase. Do you think there took place
something unusal?
2. Why did Mr.otis after the jewel given by canterville ghost to
Virginai back to lord canterville?
3. Why did Virginia show pity on the canterville ghost , when she
saw him in the tapestry chamber?
4. Why did Mrs Otis offer Dobell’s tincture to the ghost ? How did
the ghost respond to her?
5. Sketch the appearance of the horrible specture as seen by
canterville ghost?
6. What was the reaction of Washington otis on seeing the blood
stairs on the floor?
SUBJECT :economics
PREPARE A POSTER ON ANY OF THE FOLLOWING TOPICS
1. Poverty.
2. Unemployment.
3. Gender Inequality.
4. Population Explosion
Do 10 question of Arithmatic Mean in all series
Learn the Topics covered in the class.
1. India on the eve of Independence
2. Economic policy since 1947-1991
3. Poverty.
SUBJECT : accountancy
1.
2.
3.
4.
5.
What do you mean by Accountancy, Accounting and Account?
Explain the advantages and limitations of Accounting.
Discuss types of Accounts.
Define Ledger, Journal.
Accounting equation
1- 19 sums (page , 5.19 – 5.20)
6. Journal entries
1 -5 ( page no – 8.53 – 8.54)
SUBJECT : BUSINESS STUDIES
1.
2.
3.
4.
5.
Define economic Activities
What do you mean by Business , Profession and Employment?
Explain the characteristics of Business.
Define Industry.
Explain briefly Primary Industry , Secondary Industry and Treitary
Industry
6. Define Commerce.
7. Trade and Auxiliaries of trade.Explain.
8. Explain multiple objective of Business.
9. Collect 5 banks photos.
10.Collect 5 industries photos
SUBJECT :computer science
1. What are different types of memory? Explain main memory.
2. What are the different types of computers ? Explain them.
3. Difference between Hardware and Software ? Discuss the
components of software.
4. How a real time operating system is different from a time sharing
operating system?
5. Explain open source software and proprietary software with
examples.
6. How free ware is different from shareware?