HOLIDAY HOMEWORK CLASS-XI SCIENCE STREAM Subject : Mathematics Q.NO.1: Find the value of . Q.NO.2: In a survey of 25 students , it was found that 15 had taken Maths , 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 the three subjects. Find the number of students that had taken (a) only Chemistry (b) Physics and Chemistry but not Maths (c) only one of the subjects (d) None of the subjects Q.NO.3: Find the coordinates of the foot of perpendicular from the point (–1, 3) to the line 3x – 4y – 16 = 0. Q.NO.4: Find the square root of –5 + 12 i Q.NO.5: Using principle of mathematical induction prove that 4 n + 15n – 1 is divisible by 9 for all n ∈ N. Q.NO.6: The 3rd, 4th and 5th terms in the expansion of (x + a)n are respectively 84, 280 and 560, find the values of x, a and n. Q.NO.7: The coefficients of (r – 1) th , r th and (r + 1) th terms in the expansion of (x + 1) n are in the ratio 1 : 3 : 5. Find n and r. Q.NO.8: Solve the following system of inequalities graphically : Q.NO.9: The water acidity in a pool is considered normal when the average PH reading of three daily measurements is between 7.2 and 7.8. If the first two PH readings are 7.48 and 7.85, find the range of PH ) cot( ) cos( ) sec( ) cos( ) 2 ( cos ) 2 cos( 2 2 x x x x x ec x + - + + + + π π π π π
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HOLIDAY HOMEWORK
CLASS-XI
SCIENCE STREAM
Subject : Mathematics
Q.NO.1: Find the value of .
Q.NO.2: In a survey of 25 students , it was found that 15 had taken Maths ,
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 the three subjects. Find
the number of students that had taken
(a) only Chemistry
(b) Physics and Chemistry but not Maths
(c) only one of the subjects
(d) None of the subjects
Q.NO.3: Find the coordinates of the foot of perpendicular from the point
(–1, 3) to the line 3x – 4y – 16 = 0.
Q.NO.4: Find the square root of –5 + 12 i
Q.NO.5: Using principle of mathematical induction prove that
4n + 15n – 1 is divisible by 9 for all n ∈ N.
Q.NO.6: The 3rd, 4th and 5th terms in the expansion of (x + a)n
are respectively 84, 280 and 560, find the values of x, a and n.
Q.NO.7: The coefficients of (r – 1)th , r
th and (r + 1)
th terms in the expansion
of (x + 1)n are in the ratio 1 : 3 : 5. Find n and r.
Q.NO.8: Solve the following system of inequalities graphically :
Q.NO.9: The water acidity in a pool is considered normal when the average
PH reading of three daily measurements is between 7.2 and 7.8. If
the first two PH readings are 7.48 and 7.85, find the range of PH
)cot()cos()sec(
)cos()2(cos)2cos(
2
2
xxx
xxecx
+−+
+++
π
ππ
π
π
value for the third reading that will result in the acidity level being
normal.
Q.NO.10: While drilling a hole in the earth, it was found that the temperature
(T °C) at x km below the surface of the earth was given by
T = 30 + 25(x – 3), when
Between which depths will the temperature be between 200°C and
300°C?
Q.NO.12: Determine the number of terms in A.P. 3, 7, 11, ........ 407. Also,
find its 11th term from the end.
Q.NO.13: The sum of first three terms of a G.P. is 15 and sum of next three
terms is 120. Find the sum of first n terms.
Q.NO.14: Find two positive numbers whose difference is 12 and whose
arithmetic mean exceeds the geometric mean by 2.
Q.NO.15: Show that the coefficient of middle term in the expansion of
(1 + x)20
is equal to the sum of the coefficients of two middle terms
in the expansion of (1 + x)19
Q.NO.16: Show that the coefficient of x5 in the expansion of product
(1 + 2x)6 (1 – x)
7 is 171.
Q.NO.17: If the image of the point (3, 8) in the line px + 3y – 7 = 0 is the
point (–1, –4), then find the value of p.
Q.NO.18: Find the distance of the point (3,2) from the straight line whose
slope is 5 and is passing through the point of intersection of lines
x + 2y = 5 and x – 3y + 5 = 0
ECONOMICS
Q1.What do we learn from the development experiences of our neighbours
(China & Pakistan). Make a comparative study of India, Pakistan and China
highlighting on the following points:
Demographic indicators
Growth indicators
Human Development indicators
Q2. What was the situation of Indian economy before & after 1991? Highlight
the importance of NEP,1991.
Q3. In developed countries, salaries are higher than in underdeveloped
countries because workers are more
productive. Do you agree with this statement? Write your observations using
your knowledge of the relationship between human capital formation &
productivity.
Q4. Given the fact that organic farming offers lower yield than conventional
farming, should it be promoted in our country where millions of people are not
getting enough to eat? Write your observations.
Q5. In context of OTBA answer the following questions:
a) How crisis of mid 1960 change the parameters of Indian agriculture?
(Second Green Revolution)
b) Why should agricultural processing industries be an integral part of the
second green revolution?
c) Why developing countries is most preferred destination for medical
tourism?
d) Is it correct to state that development of Medical tourism has led to the
development of many other trades? Justify your strand.
Physics
Q1) Explain the construction and various operations for Carnot’s heat engine
working between two temperatures. Hence derive the efficiency of the engine.
Q2) Describe the construction of a refrigerator and obtain the expression for its
coefficient of performance.
Q3) Define isothermal and adiabatic processes. Derive an expression for work
done during isothermal process.
Q4) A Carnot refrigerator takes 6 × 104 cal from a freezing chamber at 250 K
and rejects heat at 300 K. How much work must be done? How many calories
are rejected?
Q5) Derive ascent formula for the rise of liquid in a capillary tube and discuss
the result obtained.
Q6) State and prove Bernoulli’s theorem for fluids and give the assumptions
used in deriving it.
Q7) Two equal drops of water are falling through air with a steady velocity of
0.1 ms-1
. If drops combine to form a single drop, what will be new terminal
velocity?
Q8) A liquid is kept in a cylindrical vessel which is rotated along its axis. If the
radius of vessel is 0.05 m and the speed of the rotation is 2 rev/s, find the
difference in height of the liquid at the centre of the vessel and its sides.
Q9) Explain surface tension and surface energy. Also establish the relation
between them.
Q10) Define angle of contact. Where the angle of contact is is obtuse, acute or
zero degree.
Q11) If a man is sitting in a boat which is floating in a pond. If the man drinks
some water from the pond, what will happen to the level of water in the pond?
Q12) Show that there is an excess of pressure on curved surface of liquid, which
is more on concave face than that on convex face of curved surface of liquid.
Q13) Explain Torricelli’s experiment to study the atmospheric pressure.
Q14) Write a note on venturimeter.
Q15) Calculate the difference between two principle specific heat of 1 gram of
helium gas at N.T.P. Molecular weight of helium = 4 and J = 4.186 J cal-1
and R
= 8.31 J mol-1
K-1
.
* Revise N.C.E.R.T. part (I) and test will be conducted on 17th
January
2014.
HINDUSTANI VOCAL MUSIC
****
A. Theory:
1. Learn definition of the following:-
That, Jati, Swarmalika, Tarana, Nibaddha and Anibaddhagana.
2. Learn description of the following ragas:
Bhupali, jaunpuri and vrindabani Sarang
3. Write about contribution and short life sketch of Tansen, and Pt. Vishnu
Digambar Paluskar.
4. Write brief history of Dhrupad and Gharana.
ENGLISH
1-Long Reading Text-
Answer the following questions in about 150 words each
a. With the selection of name, what, larger quest was Booker attempting to
fulfill and how did having a name relate to this universal quest ?
b. Why did Washington feel that the Reconstruction Policy was artificial and
forced ?
c. Compare and contrast the educational principles of Hampton and
Washington .
d .Why did Washington despise working in a coal mine ?
2-WRITING SKILLS-
Q 5.You are Anil /Anila, a social activist and a ‘Wildlife Protection Week’ is
being observed in your city .
Design a poster to create awareness about the need for wildlife protection.
3- PROJECT-----
Make a short power point presentation on the life of Washington .T . Booker .
BIOLOGY
I. Prepare a glossary of terms from the chapter “Morphology of flowering
plants”, on A4 size sheets.
II. Revise the following chapters and answer the questions given below:
a) Anatomy of flowering plants
b) Respiration in plants
QUESTIONS:
1. Describe the stomatal apparatus and list the functions performed by the
Same.
2. Draw labeled diagrams and discuss the composition of xylem and
phloem
3. Give the location and function of the following:
a) Casparian strip
b) Starch sheath
c) Bulliform cells
d) Lenticels
4. Distinguish between:
a) Heartwood and sapwood
b) Spring wood and autumn wood
c) Cork and bark
5) Explain the process of secondary growth in the stems of woody
Angiosperms with the help of labeled diagrams. Also comment upon its
significance.
6. What are the crucial events in aerobic respiration? List and explain.
7. What is the significance of stepwise release of energy in respiration?
8. What is RQ? Give its value for carbohydrates, proteins and fats.
9. What is an amphibolic pathway? Can respiration be considered as one? Give
reasons.
10. Elucidate the major pathways of anaerobic respiration with the help of flow
diagrams.
III. Answer the following with reference to the case study(OTBA) “Incredible
India”:
1) Enlist the varied reasons for biodiversity loss and comment upon its
consequences.
2) Develop a dichotomous key to present an example of classification by
taking animals
explained in the text into account.
3) How would you justify the declaration of the Western Ghats as
hotspots of
Biodiversity by Norman Meyers.
4) List the characteristic features of the plants of the Lauraceae family.
5) Interdependence among living organisms is explicitly visualized in the
North Western
Ghats mountain ranges. Explain taking an example from text.