Q1 If a Is a 3X3 Square Matrix with IAI= 5 Then Find Iadjai

xii हिन्दी

1.30 वस्तुनिष्ट प्रशन पत्रकारिता से सम्बंधित |

2.दो आलेख |

3.दो फीचर |

4.दो सम्पादकीय पात्र|

5.एक पॉवर पॉइंट प्रेजेंटेशन |

MAth

Question No.1to10 carry 1 marks.

Question No11to22carry 4 marks.

Question No.23 and 29 carry 6 marks.

Q1 If A is a 3x3 square matrix with IAI= 5 then find IadjAI.

Q2 If a matrix A is both symmetric and skew symmetric then what kind of matrix is A?

Q3 Find the principal solution of cos-1.

Q4 Find the slope of tangent to the curve +5 at x=1.

Q5 Differentiate w.r.t. x:

x= sint, y= cost at t=π/4

Q6 What are the possible number of 3x3 matrices with each entry 0 or1?

Q7 Consider a binary operation * on N defined as a*b=a3+b3. Determine whether * is commutative or associative.

Q8 Prove the following:

3sin-1x= Sin-1(3x-4x3)

Q9 Differentiate log(log(logx)) w.r.t.'x'

Q10 The total revenue from the sale of x units of a product is given by

R(x)=3x2+36x+5. Find the marginal revenue when x=15.

Q11 Find the equation of normals to the curve y=x2+2x+6 which is parallel to the line x+14y+4=0.

Q12 Find the intervals in which the function f(x)=Sinx+Cosx , 0<x<2π is increasing or decreasing.

Q13 Prove that:

Sin-1 + Sin -1 = Sin -1

Q14 Prove that:

1+a 1 1

1 1+b 1= abc

1 1 1+c

Q15Differentiate (logx)x+ xlogxw.r.t. x.

Q16 Let f: N R be a function defined as f (x) = 4x2+12x+15. Show that f : N Range f is invertible.

Find the inverse of f.

Q17 If 2+ 2= a(x-y), a being a constant, prove that = 2

Q18 is continuous at x=π/2. Find the value of k.

Q19 Using elementary row operations find the inverse of the matrix:

Q20 Solve: tan-1 = tan-1x (x>0)

Q21 Let R+ be the set of all positive reals. Define an operation ‘ ο’ by aοb = for all a,b€ R+ . Show that the operation ‘ο’ is commutative as well as associative. Also find the identity element and inverse of ο.

Q22 Using differentials find the approximate value of following correct to 3 decimal places:

(3.968)3/2

Q23 Solve the system of linear equations by matrix method:

x-y+z=4

2x+y-3z=0

x+y+z=2

Q24 Sand is pouring from a pipe at the rate of 12cubic cm/ sec. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4cm?

Q25 Prove that y= 4sinx/(2+cosx) - x is an increasing function of x in [0, /2].

Q26 If A= and I is the identity matrix of order 2, show that

I+A=(I-A)

Q27 Find if x =a(cost+ logtant/2), y=asint

Q28 Find points on the curve + = 1 at which the tangents are

(a)Parallel to x-axis

(b)Parallel to y-axis

Q29 Express the matrix as a sum of symmetric and skew symmetric matrix:

HHW (summer Break) 2017

SUBJECT - BIOLOGY

CLASS XII

What name is given to the individuals that are produced from one individual and are genetically identical?
What do you understand by AI?
What is scientific name of the plant called “terror of Bengal”?
What is clitoris?
What are IUD’s?
What is the special asexual reproductive structure in Chlamydomonas?
How does Penicillium(a fungus) reproduce asexually?
What is ART?
What is MTP?
Why vegetative propagation is proved to be a boon to the agriculturists?
What is emergency oral contraceptive?
What are the surgical methods towards birth control?
What is the difference between the type of gametes and their transfer from male to female organisms of higher animals and higher plants?
What are the common symptoms of STD’s in men and women?
What are special mechanism of reproduction?
Define semen and spermiation.
Differentiate b/w GIFT and ICSI.
Explain the term OUTBREEDING DEVICES?
Differentiate between true and false fruits.
What are the different types of gametes formed during sexual reproduction? Give examples.
What is the difference between seasonal breeders and continuous breeders?
A flower is large in size, colorful and has notaries. Which pollination strategy it corresponds to?
What similarities do you find in seed bank and pollen bank? Write their importance.
What is Double fertilization? Why it is called so? Elaborate the term Syngamy?
What is family planning? And what are various methods involved to birth control?
What is the function of FIMBRIAE in fallopian tubes?
Which tissue located inside the ovarian cavity?
Why is internal fertilisation considered to be more advanced method than external fertilisation?
Give details of external genetilia of female reproductive system.
What is colostrum? Why is it important to be given to the newborn infants?
Define the role of tapetum in pollen sac.
How polyembryony is prevented in human beings?
When is placenta formed during pregnancy? How is it connected to foetus? Name any one hormone released by it.
Give one example of each of copper releasing IUDs and hormone releasing IUDs.
Write the characteristic features of anther, pollen and stigma of wind pollinated flowers.
What are the various methods of IVF?
Define the following: L-H SURGE, MENARCHE, OOGENESIS, PRIMARY SEX ORGANS, SECONDARY Sex Organs
Define the following terms :

(a) Acrosome
(b) Amniotic sac
(c) Birth
(d) Parturition Blastocyst
(e) Cervix
(g) Coitus

Arrange the following terms in a correct developmental sequence Pollen grain ,sporogenous tissue , microspore tetroid , pollen mother cell male gametes ?
Describe Macrosporogenesis in detail.
Draw a labeled diagram of human sperm. Explain the function of nay two parts.
Describe the megasporogenesis and formation of female gametophyte in flowering plant with labeled diagrams.
Explain the process of MICROSPOROGENESIS
Schematically represent oogenesis in human female And Draw a labeled diagram of human ovum released after ovulation.

What do you understand by?

a)Spermiation.

b)Foetal ejection reflex.

c)Chorionocvilli.

d)Amniocentesis.

e)LH- surge.

Name the function of following

(i)corpus luteum

(ii)Endometrium

(iii)Acrosome

(iv)sperm tail

PRINCIPLES OF INHERITANCE

Why Mendel selected pea plant for his study?
Complete the following chart

S.NO / CHARACTER / CONTRASTING TRAITS
1 / Stem hight / ……………………………………
2 / ……………………….. / Violet/white
3 / Flower position / ……………………………………
4 / Seed colour / ……………………………………
5 / Seed shape / ……………………………………
6 / …………………………… / Inflated/constricted

What is a punnet square? Design a punnet square for test cross.
Which cross is used to find the genotype of parents? What is ratio of that cross for a dihybrid cross?
What is law of segregation? Explain law of segregation with the help of a dihybrid cross formulated by Mendel.
Give the reasons

(a) Gametes are always pure for a character.

(b)Recessive organisms are always pure for the character which they possess.

A cross between white and red flower of Antirrhinum produces F1 with pink coloured flower

(a) Name the genetic principle which account for it.

(b)Formulate a cross in support of your answer.

Name the scientists who rediscovered Mendel’s result on the inheritance of characters.
The gene I that controls the ABO blood grouping in beings has three alleles I A , I B , and i

How many different genotypes are to be present in the human population?

Also, how many genotypes are possibly present?

If a true breeding homozygous pea plant with green pod and axial flower as dominant character is crossed with a recessive homozygous pea plant with yellow seeds and terminal flowers, then what would the;

(a)Genotype of two parents.

(b)Phenotype and genotype of the F1 offspring.

(c)Phenotypic distribution ratio in F2 population.

(i) State the law of independent assortment. (ii)Using Punnett square, demonstrate the law of independent assortment in a dihybrid cross involving two heterozygous parents

Holiday home work (Summer Vacations)

Class = 12th (ENGLISH)

Notice

(a)Annual function

(b)Sports meet

(c)Tarunutsav

Article

(a)Modern cinema lacks values

(b)importance of paying taxes

Report

(a)celebration of TarunUtsav at KV Dharamshala

(b)Annual function at KVD

speech

(a)importance of personal hygiene

debate

(a)There should be compulsory military training in schools.

character sketches

(a)Mr. Marvel

(b)Dr. Kemp

(c)Griffin

(d)Mrs. Hall

HOLIDAY HOME WORK

sSUBJECT: CHEMISTRY

CLASS:XII

Write the relationship between atomic radius (r) and edge length (a) of cubic unit cell for (a) Simple cubic unit cell (b) Body-centred cubic unit cell (c) Face-centred cubic unit cell
Define a semiconductor? Describe the two main types of semiconductors when it is doped with (a) group 13 element, (b) group 15 element.
3. Explain the following terms with one example each : (a) Ferrimagnetism (b) Antiferromagnetism (c) 13-15 compounds
Tungsten crystallizes in body centred cubic unit cell. If the edge of the unit cell is 316. 5pm, calculate the radius of tungsten atom?
. Iron has a body centred cubic unit cell with a cell dimension of 286.65 pm. The density of iron is 7.874 g cm–3. Use this information to calculate Avogadro number. (At. Mass of Fe = 55.845u).
Sodium crystallises in a bcc unit cell. What is the approximate number of unit cells in 4.6 g of sodium? Given that the atomic mass of sodium is 23 g mol–1 .
In a crystalline solid anions ‘C’ are arranged in cubic close packing, cations ‘A’ occupy 50% of tetrahedral voids and cations ‘B’ occupy 50% of octanedral voids. What is the formula of the solid?
The density of copper metal is 8.95 g cm–3. If the radius of copper atom is 127 pm, is the copper unit cell a simple cubic, a body-centred cubic or a face centred cubic structure? (Given at. mass of Cu = 63.54 g mol–1 and NA = 6.02 × 1023 mol–1]
AgCl is doped with 10–2 mol% of CdCl2 , find the concentration of cation vacancies.
A metallic element has a body centered cubic lattice. Edge length of unit cell is 2.88 × 10–8 cm. The density of the metal is 7.20 gcm–3. Calculate (a) The volume of unit cell. (b) Mass of unit cell. (c) Number of atoms in 100 g of metal.
Under what condition molality and molarity of a solution are identical. Explain with suitable reason.
Addition of Hg I2 to KI (aq.) shows decrease in vapour pressure. Why?
What will happen to the boiling point of the solution formed on mixing two miscible liquids showing negative deviation from Raoult’s law?
Liquid ‘Y’ has higher vapour pressure than liquid ‘X’, which of them will have higher boiling point.
If kf for water is 1.86 K kg mol–1, what is the freezing point of 0.1 molal solution of a substance which undergoes no dissociation or association of solute?
What is reverse osmosis? Give one large scale use of it.
What is the maximum value of van’t Hoff factor (i) for Na2SO4 . 10H2O?
When 1 mole of NaCl is added to 1 litre water, the boiling point increases? When 1 mole of CH3OH is added to 1 litre water, the boiling point decreases? Suggest reasons
(a) State Henry’s Law. (b) If O2 is bubbled through water at 393 K, how many millimoles of O2 gas would be dissolved in 1L of water? Assume that O2 exerts a pressure of 0.95 bar. (Given KH for O2 = 46.82 bar at 393K).
Given reason for the following :– (a) Aquatic species are more comfortable in cold waters than in warm waters. (b) To avoid bends scuba divers use air diluted with helium. (c) Cold drinks bottles are sealed under high pressure of CO2 .
Why should a solution of a non-volatile and non-eletrolyte solute boil at a higher temperature? Explain with the help of a diagram. Derive the relationship between molar mass and elevation in boiling point.
Account for the following :– (a) CaCl2 is used to clear snow from roads in hill stations. (b) Ethylene glycol is used as antifreeze solution in radiators of vehicles in cold countries. (c) The freezing point depression of 0.01 m NaCl is nearly twice that of 0.01 m glucose solution.
Give reasons for the following :– (a) RBC swell up and finally burst when placed in 0.1% NaCl solution. (b) When fruits and vegetables that have been dried are placed in water, they slowly swell and return to original form
Osmotic pressure of a 0.0103 molar solution of an electrolyte was found to be 0.75 atm at 27°C. Calculate Van’t Hoff factor.
Calculate the amount of NaCl which must added to one kg of water so that the freezing point is depressed by 3K. Given Kf = 1.86 K kg mol–1, Atomic mass : Na = 23, Cl = 35.5).
Explain the term electrolysis. Discuss briefly the electrolysis of (i) molten NaCl (ii) aqueous sodium chloride solution (iii) molten lead bromide (iv) water.
state and explain Faraday’s laws of electrolysis. What is Electrochemical equivalent?
What do you understand by ‘electrolytic conduction’? what are the factors on which electrolyte conduction depends.? What is the effect of temperature on electrolytic conduction?
Can we store copper sulphate in (i)Zinc vessel (ii) Silver vessel? Give reasons. Given E0 Cu2+/Cu = +0.34V, E0 Zn2+/Zn= -0.76V) , E0Ag+ /Ag = +0.80V
A current of 5 ampere is flowing through a wire for 193 seconds. Calculate number of electrons flowing through cross section of wire for 193 seconds.
Reema the student of class XII Science suggested her father to place a pouch of silica gel in the opening of iron pipes when he was preparing a shed for parking his car? a. How does Reema apply the knowledge of chemistry? b. What value was associated with this decision? c. How she shows the concern to society?
Ira a student of science went with her grandfather to buy a battery for their inverter and camera. They found two types of batteries, one a lead storage battery and other a Nickel-Cadmium storage battery. Later was more expensive but lighter in weight. Ira insisted to purchase costlier Nickels-Cadmium battery. (a) In your opinion, why Ira insisted for Nickel-Cadmium battery? Give reasons (b) Write the values associated with above decision?
Shyam's father wants to buy a new car. In the market various options are available. Shyam persuades his father to buy a hybrid car which can run both on electricity as well as on petrel. a. Mention the values associated with this decision. b. Name the battery used for running the car. c. Write the reactions taking place at the anode and cathode of battery.
While antacids and antiallergic drugs interfere with the function of histamines, why do these not interfere with the function of each other?
What is meant by the term ‘broad spectrum antibiotics’? Explain.
How do antiseptics differ from disinfectants? Give one example of each.
Why are cimetidine and ranitidine better antacids than sodium hydrogen carbonate or magnesium or aluminium hydroxide?
Name a substance which can be used as an antiseptic as well as disinfectant.
Why is use of aspartame limited to cold foods and drinks?
Name a sweetening agent used in the preparation of sweets for a diabetic patient.
Why do soaps not work in hard water?
Can you use soaps and synthetic detergents to check the hardness of water?
Sleeping pills are recommended by doctors to the patients suffering from sleeplessness but it is not advisable to take its doses without consultation with the doctor, Why?
What are fuel cells?
a) What is time required to deposit 1.5g of siver when 1.5 amperes of current is passed through an aq solution of AgNO3? b) Write the products of electrolysis of aq AgNO3 solution.
How does molar conductivity vary on dilution for strong electrolyte? ii) The electrical resistance of a column of 0.05moll-1 NaOH solution of diameter 1cm and length 50cm is 5.55 X 103 ohm. Calculate its resistivity and conductivity.
Calculateemfofthefollowingcellat 298K

Zn/Zn2+(10-4M) || Cu2+(10-2M)/Cu

GivenE0Zn2+/Zn=-0.76V E0Cu2+/Cu=+0.34V

48.Copperwill dissolvein anaqsolution ofFeCl3becausereduction potential

E0Fe3+/Fe2+(0.77V) ismorethanthereductionpotential of E0Cu2+/Cu+(-0.16V)

2Cu(s)+2FeCl3(aq) → Cu2Cl2(aq) +2FeCl2(aq)

49.Thecellreactionas writtenis spontaneous ifthe overall EMF ofthecellis

positive.Commentonthis statement.

50. Whichcellis generallyusedin hearingaids? Namethematerial ofthe

anode, cathodeandthe electrolyte.Writethereactions involved.

HOLIDAY HOME WORK

sSUBJECT: CHEMISTRY

CLASS:XII

Write the relationship between atomic radius (r) and edge length (a) of cubic unit cell for (a) Simple cubic unit cell (b) Body-centred cubic unit cell (c) Face-centred cubic unit cell
Define a semiconductor? Describe the two main types of semiconductors when it is doped with (a) group 13 element, (b) group 15 element.
3. Explain the following terms with one example each : (a) Ferrimagnetism (b) Antiferromagnetism (c) 13-15 compounds
Tungsten crystallizes in body centred cubic unit cell. If the edge of the unit cell is 316. 5pm, calculate the radius of tungsten atom?
. Iron has a body centred cubic unit cell with a cell dimension of 286.65 pm. The density of iron is 7.874 g cm–3. Use this information to calculate Avogadro number. (At. Mass of Fe = 55.845u).
Sodium crystallises in a bcc unit cell. What is the approximate number of unit cells in 4.6 g of sodium? Given that the atomic mass of sodium is 23 g mol–1 .
In a crystalline solid anions ‘C’ are arranged in cubic close packing, cations ‘A’ occupy 50% of tetrahedral voids and cations ‘B’ occupy 50% of octanedral voids. What is the formula of the solid?
The density of copper metal is 8.95 g cm–3. If the radius of copper atom is 127 pm, is the copper unit cell a simple cubic, a body-centred cubic or a face centred cubic structure? (Given at. mass of Cu = 63.54 g mol–1 and NA = 6.02 × 1023 mol–1]
AgCl is doped with 10–2 mol% of CdCl2 , find the concentration of cation vacancies.
A metallic element has a body centered cubic lattice. Edge length of unit cell is 2.88 × 10–8 cm. The density of the metal is 7.20 gcm–3. Calculate (a) The volume of unit cell. (b) Mass of unit cell. (c) Number of atoms in 100 g of metal.
Under what condition molality and molarity of a solution are identical. Explain with suitable reason.
Addition of Hg I2 to KI (aq.) shows decrease in vapour pressure. Why?
What will happen to the boiling point of the solution formed on mixing two miscible liquids showing negative deviation from Raoult’s law?
Liquid ‘Y’ has higher vapour pressure than liquid ‘X’, which of them will have higher boiling point.
If kf for water is 1.86 K kg mol–1, what is the freezing point of 0.1 molal solution of a substance which undergoes no dissociation or association of solute?
What is reverse osmosis? Give one large scale use of it.
What is the maximum value of van’t Hoff factor (i) for Na2SO4 . 10H2O?
When 1 mole of NaCl is added to 1 litre water, the boiling point increases? When 1 mole of CH3OH is added to 1 litre water, the boiling point decreases? Suggest reasons
(a) State Henry’s Law. (b) If O2 is bubbled through water at 393 K, how many millimoles of O2 gas would be dissolved in 1L of water? Assume that O2 exerts a pressure of 0.95 bar. (Given KH for O2 = 46.82 bar at 393K).
Given reason for the following :– (a) Aquatic species are more comfortable in cold waters than in warm waters. (b) To avoid bends scuba divers use air diluted with helium. (c) Cold drinks bottles are sealed under high pressure of CO2 .
Why should a solution of a non-volatile and non-eletrolyte solute boil at a higher temperature? Explain with the help of a diagram. Derive the relationship between molar mass and elevation in boiling point.
Account for the following :– (a) CaCl2 is used to clear snow from roads in hill stations. (b) Ethylene glycol is used as antifreeze solution in radiators of vehicles in cold countries. (c) The freezing point depression of 0.01 m NaCl is nearly twice that of 0.01 m glucose solution.
Give reasons for the following :– (a) RBC swell up and finally burst when placed in 0.1% NaCl solution. (b) When fruits and vegetables that have been dried are placed in water, they slowly swell and return to original form
Osmotic pressure of a 0.0103 molar solution of an electrolyte was found to be 0.75 atm at 27°C. Calculate Van’t Hoff factor.
Calculate the amount of NaCl which must added to one kg of water so that the freezing point is depressed by 3K. Given Kf = 1.86 K kg mol–1, Atomic mass : Na = 23, Cl = 35.5).
Explain the term electrolysis. Discuss briefly the electrolysis of (i) molten NaCl (ii) aqueous sodium chloride solution (iii) molten lead bromide (iv) water.
state and explain Faraday’s laws of electrolysis. What is Electrochemical equivalent?
What do you understand by ‘electrolytic conduction’? what are the factors on which electrolyte conduction depends.? What is the effect of temperature on electrolytic conduction?
Can we store copper sulphate in (i)Zinc vessel (ii) Silver vessel? Give reasons. Given E0 Cu2+/Cu = +0.34V, E0 Zn2+/Zn= -0.76V) , E0Ag+ /Ag = +0.80V
A current of 5 ampere is flowing through a wire for 193 seconds. Calculate number of electrons flowing through cross section of wire for 193 seconds.
Reema the student of class XII Science suggested her father to place a pouch of silica gel in the opening of iron pipes when he was preparing a shed for parking his car? a. How does Reema apply the knowledge of chemistry? b. What value was associated with this decision? c. How she shows the concern to society?
Ira a student of science went with her grandfather to buy a battery for their inverter and camera. They found two types of batteries, one a lead storage battery and other a Nickel-Cadmium storage battery. Later was more expensive but lighter in weight. Ira insisted to purchase costlier Nickels-Cadmium battery. (a) In your opinion, why Ira insisted for Nickel-Cadmium battery? Give reasons (b) Write the values associated with above decision?
Shyam's father wants to buy a new car. In the market various options are available. Shyam persuades his father to buy a hybrid car which can run both on electricity as well as on petrel. a. Mention the values associated with this decision. b. Name the battery used for running the car. c. Write the reactions taking place at the anode and cathode of battery.
While antacids and antiallergic drugs interfere with the function of histamines, why do these not interfere with the function of each other?
What is meant by the term ‘broad spectrum antibiotics’? Explain.
How do antiseptics differ from disinfectants? Give one example of each.
Why are cimetidine and ranitidine better antacids than sodium hydrogen carbonate or magnesium or aluminium hydroxide?
Name a substance which can be used as an antiseptic as well as disinfectant.
Why is use of aspartame limited to cold foods and drinks?
Name a sweetening agent used in the preparation of sweets for a diabetic patient.
Why do soaps not work in hard water?
Can you use soaps and synthetic detergents to check the hardness of water?
Sleeping pills are recommended by doctors to the patients suffering from sleeplessness but it is not advisable to take its doses without consultation with the doctor, Why?
What are fuel cells?
a) What is time required to deposit 1.5g of siver when 1.5 amperes of current is passed through an aq solution of AgNO3? b) Write the products of electrolysis of aq AgNO3 solution.
How does molar conductivity vary on dilution for strong electrolyte? ii) The electrical resistance of a column of 0.05moll-1 NaOH solution of diameter 1cm and length 50cm is 5.55 X 103 ohm. Calculate its resistivity and conductivity.
Calculateemfofthefollowingcellat 298K

Zn/Zn2+(10-4M) || Cu2+(10-2M)/Cu