1. No category

R.K.MEMORIAL SR.SEC.SCHOOL
SUMMER HOLIDAY HOMEWORK
CLASS:- XII
Science Group
Subject – English
1.
2.
3.
4.
Write unit Assignments From – Reading 1 to 3, Writing – 1 to 5, Literature – 1 to 7.
Read the prescribed novel
Read untaught portion of S.A.- 1
Read the Novel ‘Sile Marner and Invisible Man ’
Subject : Maths
Note :
• All students have to complete both assignments in a separate notebook.
• Write and learn all differentiation and Integration formulas.
ASSIGNMENTS-1
1.
2.
3.
4.
5.
Construct a 2 × 2, = whose elements are given by =
−3 0
find 0 −3
−
Find the value ,of if If = ()
2
2 2
=
3 5
5
If is a square matrix such that = , then write the value of ( + )" − 7
If = 2 0
1 0
2
−3 1
and % −1
2 0
0
,find the matrix &such that + % + &is a null matrix.
1
6.
Find the value of from the following :
7.
4 2 −1
Express the matrix = *3 5
7 ,as the sum of a symmetric and a skew symmetric matrix.
1 −2 1
2 − 5
6
'
(=
3
3 3
, find -such that - = 5 − 6 5
1 2
,find . (),if . () = 2 − 3 + 5
9. Give matrix = 3 4
−2
10. If = 4 and % = /1 3 −60verify that (%)1 = % 1 . 1 .
5
8. If =
0
−2
5
−2
11. A manufacturer produces three products 3, 4, 5which he sells in the two markets. Annual
sales are indicated in the table:
Marks
Products
X
Y
Z
I
10,000
2,000
18,000
II
6,000
20,000
8,000
If unit sale price of 3, 4and 4are Rs. 2.50, Rs.1.50 and Rs.1.00 respectively, find the total
revenue in each market, using matrices.
−1
2 −1
,
*
12. Find the matrix 3such that * 0
3
=
3
1
10
−2 4
Answers
7
2
81 0
1. = * 7 ,
2.
3. = 1
0 81
5
:4
9;
7. 9 9
80
0> :0
;=
9@
5
+ 9 0
=
= 9
7
;
1< 81 1 −2 −5
12. 3 = 3 4
0
;
?@
−1>
7 =
=
=
0<
8. - = 1 9. −8
4
20
−10
0 ,
10
4.
16
21
14
34
1
5. & = −3
ASSIGNMENTS-2
1 + a − b
C
2ab
2b
2ab
1 − a + b −2a
−2b
C = (1 + a + b )"
2a
1 − a − b 2. Using properties of determinants prove the following:
F
F +1
GF
G
FG C = 1 + + F + G G + 1
3. Using properties of determinant, show that:
1
C1
1
+ FG
F + G
G + F
"
F" C = ( − F)(F − G )(G − )( + F + G )
G"
4. Using inverse of matrix, solve the following system of equation:
2 − 3 + 5H = 11,
−2
0
3 + 2 − 4H = −5,
6. + 2
10. AB. 46,000 11. AB. 53,000
1. Using Properties of determinants prove that following :
CF
G
−1
0
+ − 2H = −3
Using properties of determinants, prove the following (Q.7 to 12)
5.
1
C2
3
1
6. C 1+I
3 + 2I
6 + 3I
1
(F + G)
7. K F
G
8. K
H
H
1+I+J
4 + 3I + 2J C = 1
10 + 6I + 3J
C = (1 − " )
1
F
( + G ) FG
G
FG K = 2F ( + F + G )"
( + F ) 1 + I "
1 + I " K = (1 + IH)( − )( − H)(H − ), where I is any scalar
1 + IH "
9. Using matrices solve the following system of question:
+ 2 − 3 = −4; 2 + 3 + 2H = 2;
3 − 3 − 4H = 11
10. If . F. G are position and unequal, show that the value of determinant CF
G
negative.
2
11. If = M3
1
−3
2
1
F
G
G
C is
F
5
−4N and ?@ . Using ?@ solve the following system of equation.
−2
2 − 3 + 5H = 16; 3 + 2 − 4H = −4; + − 2H = −3
12. Prove the following, using properties of determinants:
+ F C + F
P
G + O G + O
Q
I + J F
(
)
I + J C + − 1 C
P
R
13. Using properties of determinants, solve the following for :
−2
C − 4
−8
2 − 3
2 − 9
2 − 27
3 − 4
3 − 16C = 0
3 − 64
14. Using properties of determinants, solve the following for :
−
+
U=0
U +
15. Prove, using properties of determinants:
+V
C +V
C = V (3 + V)
+V
O
G
Q
J
IC
R
1
16. Use product *0
3
−1
2
−2
2 −2
−3, * 9
4
6
0
2
1
1
−3, to solve the system of equation:
−2
− + 2H = 1; 2 − 3H = 1; 3 − 2 + 4H = 2
17. Solve for , , H:
W
+ +
"
X
@Y
Z
= 4; − + = 1; + −
W
[
X
;
Z
[
W
7
X
Y
Z
= 2;
18. Using matrices, solve the following system of linear equations:
− + 2H = 7; 3 + 4 − 5H = −5; 2 − + 3 = 12
19. Using properties of determinant show that:
F+G
CG + +F
J+
+I
F+J
+H
H + C = 2 UF
G
+
I
J
U
H
20. Using properties of determinant prove that:
F+G
C F
G
G+
G
F C = 4FG
+F
21. Using matrices solve the following system of equation:
2 + 3 + 3H = 5
− 2 + H = −4
3 − − 2H = 3
22. Using properties of determinants, prove that
+F
+F+G
C2 3 + 2F
4 + 3F + C = "
3 6 + 3F 10 + 6F + 3G
23. Using matrix solve the following system of equations:
−+H =4
2 + − 3H = 0
++H =2
3
−1 1
1
2 −2
?@
If = *−15 6 −5, and % = *−1 3
0 ,then find (% )?@
5
−2 1
0 −2 1
24. A School wants to award its students for the values of Honesty, Regularity and Hard work
with a total cash award of Rs. 6,000. Three times the award money for Hard work added to
that given for honesty amounts to Rs.11,000. The award money given for Honesty and Hard
work together is double the one given for Regularity. Represent the above situation
algebraically and find the award money for each value, using matrix method. Apart from
these values namely, Honesty, Regularity and Hard work, suggest one more value which the
school must include for awards.
25. Using properties of determinants, prove the followings.
+ + 24
+ C = 9 ( + )
C + 2
+ + 2
Subject – Biology
1. What do you mean by amino Centesis? What is these statutory ban on this.
2. Give full form of :
AIDA, ELISA, IVF, ZIFT, IUI, MTP
3. Explain barrier contraceptive methods.
4. Explain function of following parts :
i. Ovary
ii. Fallopian Tube
iii. Uterus
iv. Cervix
5. Difference between :
i. True fruit and false fruit
ii. Zygote and Embryo
iii. Syngamy and Parthenogenesis
iv. Monoecious and Dioecious
6. What is the Role of Endosperm?
7. Pollination does not Guranantee that fertilization will occur. Why?
8. What is the difference between spermatocytogensis and Spermiogensis?
9. Why it is necessary to select a suitable contraceptive method under the guidance of qualified medical
professionals?
10. Girls education should be given more emphasis in India. Why?
Subject : Chemistry
1. Define Ebullioscopic constant.
2. Explain Azeotrops and its types.
3. Define the following terms:
a. Isotonic Solutions
d. Freezing Point
b. Plasmolysis
e. Semi-permiable Membrane
c. Vant Hoff’s Factor
4. An antifreeze solution is prepared from 222.6g of ethylene glycol, C2H4(OH)2 and 200g of water.
Calculate the molality of the solution. If the density of the solution is 1.072g mL-1 , then what shall be
the molarity of the solution?
5. State Raoult’s law for non-volatile solute.
6. A solution of glucose in water is labeled as 10% w/w. What would be the molality and mole fraction
of each component in the solution? If the density of the solution is 1.2g mL-1 then what shall be the
molarity of the solution?
7. A sample of drinking water was found to be severaly contaminated with chloroform CHCl3 supposed
to be carcinogen. The level of contamination was 15 ppm (by mass). (a)Express this percent by mass.
(b) Determine the molality of chloroform in the water sample.
8. The air is a mixture of number of gases. The major components are oxygen and nitrogen with
approximate proportion of 20% is to 79% by volume at 298K. The water is in equilibrium with air at
a pressure of 10 atm. At 298K, if the Henry’s law constants for oxygen and nitrogen are 3.30X107
mm and 6.51X107 mm respectively.
9. Determine the osmotic pressure of a solution prepared by dissolving 25 mg of K2SO4 in 2 litre of
water at 25° C, assuming that it is completely dissociated.
10. The vapour pressure of pure benzene at a certain temperature is 0.850 bar. A non-volatile, nonelectrolyte solid weighing 0.5 g when added to 39.0 g of benzene (molar mass 78 g mol-1). Vapour
pressure of the solution, then, is 0.845 bar. What is the molar mass of the solid substance?
11. Explain negative deviation.
12. Define abnormal molar mass.
13. Explain association and dissociation.
14. At 300 K, 36 g of glucose present in a litre of its solution has an osmotic pressure of 4.98 bar. If the
osmotic pressure of the solution is 1.52 bars at the same temperature, what would be its
concentration?
15. Two elements A and B form compounds having formula AB2 and AB4 . When dissolved in 20 g of
benzene (C6H6), 1 g of AB2 lowers the freezing point by 2.3 K whereas 1.0 g of AB4 lowers it by
1.3 K. The molar depression constant for benzene is 5.1 K kg mol-1. Calculate atomic masses of A
and B.
Subject – Physics
Prepare the following units (theory as well as numericals) at Home during Summer Holidays
Unit: Electrostatics
Unit: Current Electricity (upto Kirchhoff’s Laws)
•
•
•
Do concerned numerical form ‘Fundamental Physics’
Do all numericals (Solved and unsolved) from NCCERT in notebook
You may be given an assignment to be downloaded from School Website.
Subject – Computer Science
1. Make a final practical file on any topic
2. Make a final project file on any topic
Subject – Physical Education
Learn & Write Questions-Answer, of Lesson-1 to 5