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HOLIDAY HOMEWORK CLASS 11
ENGLISH
1. You are member of your school Environment Club. On the occasion of ‘ World Save
Energy Day’ you and the other club members decide to create awareness about the
urgent need to conserve electricity by designing a poster highlighting the merits of
conserving electricity.
2. Read any good novel. Write its summary in about 200 words. Highlighting the
protagonists’ character.
3. Read the novel – The Canterville Ghost
a. Book Review
b. Why the story is a mix of comedy and horror ?
c. Who is the protagonist and why?
MATHEMATICS
Que1
Que2
Que3
Que4
Que5
If the angles of a triangle are in the ratio 3:4:5. Find the smallest angle in degrees
and the greatest angle in radians.
The angles of a triangle are in A.P and the number of degrees in the least to the
number of radians in the greatest is 60: Find the angles in degrees and radians.
Find the radius of the circle in which central angle is 45 make an arc of length
187cm.
If the arcs of the same length in two circles subtend angles 60 and 75 at their
respective centre, find the ratio of their radii.
The difference between two acute angles of a right angled triangle is
measure. Find these angles in degrees.
Que6
If cos
=
Que7
If 5 sin
Que8
If tan
=
Que9
If tan
= 2 tan
Que10
Que11
Prove that: tan 3 tan 2 tan = tan 3 − tan 2 − tan
If + = then prove that (1 + tan )(1 + tan ) = 2
Que12
Prove that tan 70° = tan 20° + 2 tan 50°
Que13
Prove that 2 sin
Que14
Prove that cot 4 (sin 5 +sin 3 ) = cot [sin 5 − sin 3 ]
Que15
Prove that (cos −cos ) + (sin −sin ) = 4sin
Que16
Prove that cos
Que17
Prove that cos 10° cos 30° cos 50° cos 70° =
and
<
<
find the value of 4
−5
= 3 find the value of
and tan
=
Show that
then prove that
cos
+ cos
=
(
)
(
)
+
=
=3
√
− 2 cos cos cos( + ) = sin ( + )
1
in radian
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HOLIDAY HOMEWORK CLASS 11
Que18
If cos + cos
Que19
If cos( + ) sin( − ) = cos( − ) sin( + ) then prove that tan tan
tan = 0
Que20
Prove that
Que21
Prove that tan 4 =
Que22
Prove that
Que23
Prove that tan
Que24
Prove that cos 6 = 32cos
Que25
If 2 cos
Que26
Que27
Solve tan + tan 2 + √3 tan tan 2 = √3
Solve 2cos + 3 sin = 1
Que28
Solve tan
Que29
Prove that
Que30
Prove that cos 18° − sin 18° = √2 sin 27°
Que31
Prove that sin . sin(60° − ) . sin(60° + ) = sin 3
Que32
Prove that sin 10° sin 30° sin 50° sin 70° =
Que33
If sin
Que34
If
Que35
Prove that sin 18° =
Que36
Que37
Prove that tan + tan(60° + ) + tan(120° + ) = 3 tan 3
Solve 3 tan( − 15°) = tan( + 15°)
Que38
Prove that sin 12° sin 48° sin 54° =
Que39
Prove that
Que40
Prove that cos
Que41
Find the value of x and y if 2 + ( +
Que42
Find the conjugate of
Que43
Find non-zero integral solutions of |1 − | = 2
Que44
If
Que45
Que46
Simplify (7 − 5 )(3 + )
Find the root of 5 + 12
Que47
Express in polar form
Que48
Solve quadratic equation 2
+
(
)
= and sin + sin
=
+
+ tan
−
= 2 sec 2
− 48cos
+ 18cos
+ prove that cos 3 =
−1
+
+ 1 − √3 tan − √3 = 0
= cot 3
+ sin
=
=
2 + √2 + 2 cos 4 = 2 cos
=
=
= prove that tan
=
and cos
+ cos
then prove that (cot
=
show that cos( + ) =
− 1)(cot
− 1) = 2
√
= tan
+
+ cos
(
+ cos + cos( +
+ ) = 4 cos
)=3−
)
then show that
(
+
=(
−4 +3=0
2
)
)
cos
cos
tan
+
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HOLIDAY HOMEWORK CLASS 11
Que49
Find the modulus and argument of complex no.
Que50
If
3
= 2 − 3 show that
+ 169
− 4 + 13 = 0 and hence find the value of
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PHYSICS
To Prepare an investigatory project file.The following pages has to be included in the
project:
1) Front page comprising of details of student and the title of the project.
2) Certificate
3) Acknowledgement
4) Table of Index
5) Content of the project
6) Readings and calculations
7) Conclusion and Result
8) Bibliography
Students can choose the topic from the suggested list of projects given in the practical
book.
CHEMISTRY
Investigatory Project
S.No.
Investigatory Project
1
Study of common food adulterants in fat, butter,
sugar, turmeric powder, chilli powder and pepper
2
Study of rate of fermentation of flour, fruit juices
and vegetable juices
3
Extraction of essential oil present in saunf
(aniseed), ajwain (carum), illaichi (cardamom)
4
Study of sterlisation of water with bleaching
powder
5
Study of different drugs and their classification
Roll No.
(1,3,5,7,9,11)
(2,4,6,8,12,22)
(13,10,15,17,19,21,20,23,14)
(25,27,29,31,33,)
(25,32,36,39,37)
BIOLOGY
1.
2.
3.
4.
5.
Investigatory project and the report.
Herbarium of leaves, flowers, etc consists of atleast 30 pages.
List of branches of biology.
Scientific names of atleast 100 organisms (plants and animals)with common names.
Hobby collection of dead insects or shells or feathers or bones or peculiar seeds or
any such items.
3
−
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HOLIDAY HOMEWORK CLASS 11
6. List of atleast 60 scientific terms with meanings from the lessons of unit I
7. Preparation of two charts with coloured diagrams of unusual plants and animals
from the unit I
PHYSICAL EDUCATION
1. Measure “Body Mass Index (B.M.I.)” of twenty members from family or
neighbourhood and show graphical representation of data.
COMPUTER
CLASS XI (CS)
TOPIC :- Power Point Presentation on Generation of computer, Maximum 10 slides .
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