24 HOLIDAY HOMEWORK CLASS-XII SCIENCE English 1.Write on following topics in your respective English Registers. a) Value Based Education Remedy to Decrease Crime b) Hazards of Environmental Pollution. c) Circus- “A Menace to Animals”. d) The Role of Youth in Combatting Corruption. e) Minimizing of Human Rights is the way to cleanse society from corruption. f) Teaching Profession is better Medical profession. 2. Prepare a power point presentation or write review of chapters : 1 to 13. 3. Learn the syllabus completed in class till 30May 2018 for Selection Test in June month. Maths Q.1 Show that A’A and AA’ are both symmetric matrices for any matrix A. Q.2 If A=* + * + Q.3 Find the value of x for which the matrix product [ ][ ] Q.4 If A =[ ] Q.5 Find a matrix A such that 2A-3B+5C=0 where B= [ ] [ ] Q.6 If A= * + , B=* + and (A+B) 2 =A 2 +B 2 , find a and b. Q.7 If A=* + , f(x)=x 2 -2x-3, show that f(A)=0. Q.8 If A=* +, find . Q.10 Given A=[ ][ ] find BA and use this to solve the system of equations y+2z=7 , x-y=3 , 2x+3y+4z=17.
40
Embed
HOLIDAY HOMEWORK CLASS-XII SCIENCE Englishrashtrashaktividyalaya.com/wp-content/uploads/2018/05/XII-SC-COMP-HHW... · 24 HOLIDAY HOMEWORK CLASS-XII SCIENCE English 1.Write on following
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
24
HOLIDAY HOMEWORK
CLASS-XII SCIENCE
English 1.Write on following topics in your respective English Registers.
a) Value Based Education Remedy to Decrease Crime
b) Hazards of Environmental Pollution.
c) Circus- “A Menace to Animals”.
d) The Role of Youth in Combatting Corruption.
e) Minimizing of Human Rights is the way to cleanse society from corruption.
f) Teaching Profession is better Medical profession.
2. Prepare a power point presentation or write review of chapters : 1 to 13.
3. Learn the syllabus completed in class till 30May 2018 for Selection Test in June month.
Maths
Q.1 Show that A’A and AA’ are both symmetric matrices for any matrix A.
Q.2 If A=*
+ *
+
Q.3 Find the value of x for which the matrix product
[
] [
]
Q.4 If A =[
]
Q.5 Find a matrix A such that 2A-3B+5C=0 where B= [
] [
]
Q.6 If A= *
+ , B=*
+ and (A+B)2=A2+B2, find a and b.
Q.7 If A=*
+ , f(x)=x2-2x-3, show that f(A)=0.
Q.8 If A=*
+, find .
Q.10 Given A=[
] [
] find BA and use this to solve the system of
equations y+2z=7 , x-y=3 , 2x+3y+4z=17.
25
Q.11 If A=[
] ?
Q.12 Two factories decided to award their employees for three values of (a) adaptable to new techniques, (b) careful and alert in difficult situations and (c) keeping clam in tense situations, at the rate of RS. X, Rs. Y and Rs. Z per person respectively. The first factory decided to honour respectively 2,4 and 3 employees with a total prize money of Rs. 29000. The second factory decided to honour respectively 5,2,and 3 employees with the prize money of 30500. If the three prizes per person together cost Rs. 9500 , then i) Represent above situation by a matrix equation and form linear equations using matrix multiplication. ii) Solve these equations using matrices.
Q.13 Two institutions decided to award their employees for the three values of
resourcefulness ,competence and determination in the form of prizes at the rate of Rs. X, Rs. Y and Rs. Z respectively per person.. The first institution decided to award respectively 4,3 and 2 employees with a total prize money of 37000 and the second institution decided to award respectively 5,3 and 4 employees with a total prize money of 47000. If all the three prizes per person together amount to Rs. 2000 then using matrix method find the value of x, v and z
Q.14 Using properties of determinants, solve for x:|
|
Q.15 Using properties of determinants, Show that |
( )( ) ( )( ) ( )( )
|
Q.16 Write the value of |
|
Q.18 The slope of the curve 2y2=ax2 at (1,1) is -1. Find a.
Q.19 Show that the acute angle of intersection between the curves xy=6 and x2y=12 is
(
)
Q.20 Show that the acute angle of intersection between the curves y2=4x and x2=4y is (
).
Q.22 Find the equation of tangent to the curve y=(x3-1)(x-2)at the points where the curve cuts at
the x-axis.
26
Q.23 The volume o a cube is increasing at a constant rate. Prove that the increase in surface area
varies inversely s the length of edge of cube.
Q.24 Show that f(x)=sin x -2cos x -2 is increasing in (
)
Q.27 Determine the value of x, the function f(x)=
is increasing or decreasing. Also find the
points on the graph of function at which the tangent is parallel to x-axis.
Q.30 For the curve y=5x-2x3 , if x increases at the rate of 2 units/sec, then find the rate of change
of the slope of the curve when x=3.
Q.31 Show that the points (a+5,a-4), (a-2,a+3) and (a,a) do not lie on a straight line for any value
of a.
Q.32 To raise money for an orphanage, students of three schools A, B and C organized an exhibition in their locality, where they sold paper-bags, scrap-books and pastel-sheets made by them using recycled paper, at the rate of Rs. 20, Rs. 15 and Rs. 5 per unit respectively. School A sold 25 paper bags, 12 scrap-books and 34 pastel sheets. School B sold 22 paper-bags, 25 scrap-books and 28 pastel sheets while School C sold 26 paper-bags, 18 scrap-books and 36 pastel sheets. Using matrices, find the total amount raised by each school. By such exhibitions, which values are inculcated in the students?
Q.33 Ishan wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300m2 . Using matrices, find the dimensions of the plot. Also give reason why he wants to donate the plot for a school.
Q.35 Using properties of determinants, |
|
Q.36 For what value of x the matrix A=[
]
27
Q.37 Determine the value of x for which the matrix [
] is singular.
Q.38 Evaluate |
|
Q.39 Without expanding show that |
|=0
Q.40 Let A=*
+ Using this result calculate A3 and A5.
Q.41 If A=|
| . Using , solve the system of linear
equation x-2y=10, 2x-y-z=8 and -2y+z=7.
Q.42 Find the intervals in which the function f(x)=
+51 is
i) Strictly increasing ii) Strictly deceasing
Q.48 Show that the function f(x)=tan-1(sinx+cosx) ,x>0 is always increasing in (0,
).
Q.49 Find the intervals in which the function f given by f(x) = sin x + cos x, 0 ≤ x ≤ 2π is (i) Strictly increasing (ii) Strictly decreasing
Q.50 Prove that the radius of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half of that of the cone.
Q.51 If log(x2+y2)=2 ( )
Q.52 If y=log tan(
) , show that
Q.53 If y= ( )( )( )( ) , Find
Q.54 If y = √ ( )
⁄
( )
⁄ , Find
Q.55 If a+b+c and |
|
Q.56 If x,y,x R then show that |
( ) ( )
( ) ( )
( ) ( )
|
28
Q.57 If x=-9 is a root of [
]
Q58 Prove that |
| is divisible by a+b+c then find the quotient.
Q.59 In a triangle ABC , if [
]=0 then prove that
is an isosceles triangle.
Q.60 Solve the following determinant equations:
i) |
| ii) |
|
Q.61 Without expanding Show that |
| |
|
Q.62 show that i) |
|=0
Q.63
Q.64 Show that |
|
Q.65 Without expanding the determinant show that (a+b+c) is a factor of the |
|
Q.66 Expand |
( ) ( )
( ) ( )
( ) ( )
|
Q.67 Expand |
|
Q.68 Prove that |
| ( )( )( )
Q.69 Solve the following determinant equations:
I ) |
| ii) |
|
Q.70 Solve the following determinant equations:
i) |
| ii) |
|
29
Q.71 Using properties of determinants, Prove that:|
|
Q.72 Prove that:|
| ( )( )( )
Q.73 Using properties of determinants, Solve for x:|
|
Q.74 Using properties of determinants, Prove that |
|
Q.75 Using properties of determinants, Prove that :|
|
Q.76 Using properties of determinants, Prove that :|
| (
)
Q.77 Prove that: |
| ( )( )( )
Q.78 A school wants to award its students for the values of honesty, Regularity and Hard work
with a total cash award of Rs. 6000. Three times the award money for hard work added to
that given for honesty amounts to Rs. 11000. 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.
Q.79 Two Schools A and B decided to award prizes to their students for three values, team spirit, truthfulness and tolerance at the rate of Rs. X , Rs. Y Rs. Z per student respectively, School A decided to award a total of Rs 1100 for the three values to 3,1 and 2 students respectively While School B decided to award Rs. 1400 for the three values to 1,2 and 3 students respectively. If one prize for all the three values together amount to Rs. 600 then i) Represent the above situation by a matrix equation after forming linear
equations. ii) Is it Possible to solve the system of equations so obtained using matrix.
Q.80 Two schools P and Q want to award their selected students for the values of
sincerity, truthfulness and hard work at the rate of RS. X , Rs.. Y and Rs. Z for each respective value per student. School P awards its 2,3 and 4 students on the above respective values with a total prize money of RS. 4600. School Q wants t award its 3,2 and 3 students on the respective values with a total award money of Rs, 4100. If the total amount of award money for one prize on each value is Rs. 1500, using matrices find the award money for each value.
30
Q.81 A total amount of Rs. 7000 is deposited in three different savings bank accounts with annual interest rates of 5%, 8% and 8.5% respectively. The total annual interest from these three accounts is RS. 550. Equal amounts have been deposited in 5% and 8% savings accounts .Find the amount deposited in each of the three accounts, with the help of matrices.
Q.82 The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and their monthly
expenditures are in the ratio 5 : 7. If each saves Rs. 15,000 per month, find their monthly incomes using matrix method. This problem reflects which value?
Q.83 If A=diag(1,-1,2) and B =diag(2,3,-1), find A+B, 3A+4B.
Q.84 If [ ] *
+ *
+
Q.85 If A=*
+ *
+ ( )
Q.86 If A= *
+
Q.87 If A is square matrix such that A2=A. Show that (I+A)3=7A+I
Q.88 If [
]
Q.89 Find the equation of the tangent and the normal to the curve y=2
at the point where
curve cuts y=axis.
Q.90 Prove that the tangent to the curve y=x2-5x+6 at the points (2,0) and (3,0) are at right
angle.
Q.91 Find the intervals in which the function f(x)=
is strictly increasing or decreasing.
Q.92 Show that the function tan x-4x is decreasing on (
)
Q.93 An open box with square base is to be made out of a given quantity of cardboard of area c2
square units. Show that the maximum volume of the box is
√ cubic units.
Q.94 A manufacturer can sell x items at a price of (5-
) each. The cost price of x items is Rs.
(
). Find the number of items he should sell to earn maximum profit.
Q.95 Solve for x,yand z by Matrix Method
Xy+yz+zx=11
Xy-3yz+5zx=35
2y+4yz-3zx=-14
Q.96 Two schools A and B want to award their selected students on the values of sincerity, truthfulness and helpfulness. The school A wants to award Rs. X each, Rs. Y each and Rs. Z each for the three respective values to 3,2 and 1 students respectively with a total award money of Rs 1600 School B wants to spend Rs. 2300 to award its 4,1 and 3 students n the respective values (by giving the same award money to the three values as before). If the total amount of award for one prize on each value is Rs. 900 using matrices, find the award money for each value.
31
Q.97 Two schools P and Q want to award their selected students on the values of Discipline, Politeness and Punctuality. The school P wants to award Rs. X each, Rs. Y each and Rs. Z each for the three respective values to its 3,2 and 1 students with a total award money of Rs. 1000. School Q wants to spend Rs. 1500 to award its 4,1 and 3 students on the respective values. (by giving the same award money for the three values as before). If the total of awards for one prize on each value is Rs. 600, using matrices, find the award money for each value.
Q.98 Using properties of determinants, Find the value of f(2x)-f(x) where f(x)=|
|
SUBJECT- PHYSICS
1. All solved examples, exercises and additional exercises of chapter 1, 2, 3,4,5,6 from 8 NCERT book to be
done in a separate register.
2. 15 Experiments to be written in Practical note book.
4. Write 6 activities in a separate practical file
3. An Investigatory Project on any of the following topics. Electrostatics, Current Electricity, Magnetism,
EMI and AC, Optics, Modern Physics, Electronics and Communication Systems.
Electrochemistry 1. Calculate the cell potential and ΔG˚ of the given cell at 25˚C,
2. State Kohlrausch law of independent migration of ions . Write an expression for the
molar conductivity of acetic acid at infinite dilution according to Kohlrausch law
3. Gaurav’s father wants to buy new car. they find various option in the market Gaurav
persuades his father to buy hybrid car. Which can run both on electricity as well as
on petrol. Mention the values associated with the decision. Name the battery used
in the car. Write the reaction taking place at the anode and cathode of battery
4. Sameer , a software professional wishes to buy an electric –generator which runs on
LPG or diesel, to face long power cuts during summer .But his son Akhil , a class -12
science student suggests his father to buy the more expensive modern fuel cells
which run on liquid fuel like methyl alchohol . After reading the above passage ,
answer the following questions:
i) As a student of chemistry give atleast two reasons as to why Sameer should
follow Akhil’s suggestion and buy the more expensive fuel cells?
5. a) In a mercury cell ,
I. which substances act as the anode and the cathode?
32
II. which electrolyte is used in the cell ?
III. what is the cell potential ?
IV. why does its cell voltage remain constant throughout its lifetime?
b) A voltaic cell is set up at 25:C with the half –cells: Ag⁺(0.001M)/Ag Cu<⁺(0.10)/Cu What would be its cell potential ? ( given :E: cell =0.46V,log10⁵=5)
6. State Kohlrausch law of independent migration of ions . Write an expression for the
molar conductivity of acetic acid at infinite dilution according to Kohlrausch law .
b) Molar conductivities at infinite dilutions for NH₄Cℓ,NaOH &NaCℓ at 298K are respectively 129.8Scm<mol⁻; ,217.4Scm<mol⁻; & 108.9Scm<mol⁻; and the molar conductivity of a 10⁻<Msolution of NH₄OH is 9.33 Scm<mol⁻; . Suggest how this information may be used to calculate the degree of dissociation of NH₄OH & its dissociation constant in its above mentioned solution .
7. The conductivity of 0.00001 M acetic acid of 4 x 10-5 Scm.calculate the dissociation
constant of acetic acid ,its molar conductivity at infinite dilution for Acetic acid is
390 Scm2/mol.
8. (a) What are lead storage battery ?write the charging and discharging reaction?
Represent the galvanic cell in which following reaction takes place
Zn + Cu2+ Zn2+ + Cu
9. What are fuel cell ? Explain the electrode reaction involved in the working of H2 –
O2 fuel cell
10. Illustrate with the help of diagram how the molar conductivity of a strong
electrolyte
and weak electrolyte vary with dilution of solution
11. Conductivity of 0.00241M acetic acid is 7.89x 10-5 S/cm. Calculate The dissociation
constant of acetic acid. If molar conductivity at infinite dilution for acetic acid is
390.5 Scm2/mol. What would be its dissociation constant
12. What is corrosion? Explain the electrochemical theory of rusting of iron and write
the
reaction involved in it?
13. Calculate the emf for the given cell at 25 :C Also determine the value of :G and
equilibrium constant Kc
Cr ICr3+ (0.1) || Fe2+(0.01M)| Fe
E: Cr3+/Cr = -0.74V E: Fe2+/Fe = -0.44V
14. The resistance of a conductivity cell containing 0.001 M KCl. Solution at 298K is 1500
What is the cell constant if the conductivity of 0.001M KCl solution at 298K is
0.146x10 -3 Scm-1
33
15. Define kholrausch law Molar conductivity Conductivity
16. i) For the cell Zn |Zn2+(2M) || Cu2+(0.5)|Cu
Write the equation for each half reaction ? Calculate the cell potential at 25 K
Zn2+| Zn = -0.76V Cu2+|Cu=+0.34V
ii) A Copper silver cell is set up. The copper ion concentration
is 0.1M. The concentration of silver ion is not known the cell
potential when measured was 0.422V.determine the
concentration of silver ion in the cell
Ag+|Ag = 0.84 Cu2+|Cu=+0.34V
HALOALKANE AND HALOARENE
1. (a) What is meant by chirality of a compound? Give example
(b) Which one of the following compound is more easily hydrolysed by KOH and
why?
(c) Why haloarenes are much less reactive than haloalkane towards nucleophilic
substitution reaction?
2. (a) Haloalkane easily dissolve in organic solvent,why?
(b) What is known as racemic mixture? Give an example.
(c) Chloroform is stored in closed dark coloured bottles completely filled so
that air is kept out.Explain?
ii) Write the mechanism of following reaction?
n-BuBr + KCN ———— nBuCN
3. (a) Why does p-dichlorobenzene have a higher melting point than its o- and
m- isomers?
(b) Why is (+)-Butan-2-ol is optically inactive?
(c) C—Cl bond length in chlorobenzene is shorter than that in CH3—Cl
4. (a) Chlorine is electron withdrawing group yet it is ortho -para directing in
If „Guide Required‟ checkbox is selected, Guide charges per day are
Rs 500.00.
Guide Gharges is calculated as : car required for No. of days * 500;
TotalAmount=Amount+Guidecharges
c. When „CLEAR‟ button is clicked, all text fields andcheckboxshould
be cleared.
d. When „Close‟ button is clicked,the applicationshouldclose. 6. Ms.Neelamworksasaprogrammerin“Kidz EntertainmentZone”.Shehas
designeda Registration Pagetocalculate thetotalfee of summercampdepending
uponthenumberofactivitiesselectedbytheuserconsideringageeligibility as well. A
screenshot of thesame is shown below:
45
Help herin writingthe codeto do the following: i. Afterenteringtheagein the specified text field,when „ChkEligibility‟button is clicked,adialogueboxshouldbedisplayedwithamessage“Welcome”ifageis inbetween3-13yearselsetheprogramshould beterminatedafterdisplaying the message “Sorry!You are either underageor overage!!”.
ii.Afterselecting the desirableactivities,totalfeeshouldbedisplayedinthe specifiedtextfieldontheclickof“Proceed”buttonattherateofRs.1000per activity.
R1004 5631 Levocitrezine 110.00 RxPharma cy South Extension,Delhi
Write commands in SQL for (i) to (iv):
i. To increase the price of “Amlodipine” by50. ii. To display all those medicines whose price is in the range 100 to150. iii. To display the Maximum price offered by pharmacy located in
“Gurgaon” iv. To display the Drug ID, DrugName and Pharmacy Name of all the
records in descending order of theirprice. On the basis of the Table Pharma ,write the output(s) produced by executing the following queries:
v. SELECT RxID, DrugName, Price from PharmaDB where PharmacyName IN (“Rx Parmacy”, “RajMedicos”);
vi. SELECT PharmacyName, COUNT(*) FROM PharmaDB GROUP BY PHARMACYNAME;
40. Srishti has created the following table with thename„Veterinary‟.
Col u mn Na me Co n straint
AnimalId Primary Key
VaccinationsDate
AnimalName Not Null
OwnerName
One of the rows inserted is as follows :
51
An imalId VaccinationDate An imalNa me
Ow n erNa me
A101 2015-02-12 Sheru Amit Sharma
a. What are the data type of columns AnimalId and
VaccinationDate in the table Veterinary?
b. Srishtiisnowtryingtoinsertthefollowingrow:
AnimalId Vaccination Date AnimalNa me
Ow n erNam e
A102 2015-08-09 NULL Abhimanyu Shah
41. Will she be able to successfully insert it ? Give reason. Table:TEACHER
No. Name Age Department Dateofadm Salary Sex
1 Jugal 34 Computer 10/01/97 12000 M
2 Sharmila 31 History 24/03/98 20000 F
3 Sandeep 32 Maths 12/12/96 30000 M
4 Sangeeta 35 History 01/07/99 40000 F
5 Rakesh 42 Maths 05/09/97 25000 M
6 Shyam 50 History 37/06/98 30000 M
7 Shivam 44 Computer 25/02/97 21000 M
8 Shalakha 33 Maths 31/07/97 20000 F
(i) To show all information about the teachers of Historydepartment.
(ii) To list the names of female teachers who are in Mathsdepartment.
(iii) To list names of all teachers with their date of admission in ascendingorder.
(iv) To insert a new row in the TEACHER table with the followingdata: 9,’Raja’, 26,’Computer’, ‘13/05/95’,23000,’M’
(v) Give the output of the following SQLstatements.