MATHSsector-i.thelps.edu.in/UploadedFiles/UpdateDirectory/CLASS-X.pdf · Q.7) The King queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled

LUCKNOW PUBLIC SCHOOL, SECT-I HOLIDAY HOMEWORK-2018

[LPS-I} CLASS -X Page 1

MATHS Chapter-1 (Polynomials)

Q.1) If one of the zero of the quadratic polynomial (K-1)x2+kx+1 is -3, then find the value of K. Q.2) Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients of polynomials. (i) 3x2-x-4 (ii) 4y2-.15 (iii) 4x2+5√2x-3 Q.3) If α and β are zeroes of 2x2-5x+3 find the value of (i) α2 + β2 (ii) α/ β + β/ α Q.4) Find the quardratic polynomial with the given numbers as the sum and the product of its zeroes. (i) ¼ , -1 (ii) 7/6 and -1/2 Q.5) Check g(x) is the factor of p(x) or not g(x) = x3-3x+1 p(x) = x5-4x3+x2+3x+1 Q.6) What must be added to the polynomial f(x)= x4+2x3-2x2+x-1 so that the resulting polynomial is exactly divisible by x2+2x-3 Q.7) Given that √2 is zero of p(x) = 6x3+√2x2-10x-4√2 , find the other two zeroes. Q.8) Find all the zeroes of the polynomial 2x4-5x3-12x2+11x-2, if two of its zeroes are 2+√3 and 2-√3.

Chapter – 2 (PAIR OF LINEAR EQUATIONS IN TWO VARIABLES) Q.1)Solve the equation graphically: 2x+y=2 ; 2y-x=4. What is the area of the triangle formed by the two lines and the line y=0 Q.2) Solve graphically : 2x-3y =6 , x-6 =0 Q.3) Solve for x and y

(i) 2𝑥 − 7𝑦 = −10

3x + 2y = 10 (by substitution method)

(ii)𝑎𝑥𝑏− 𝑏𝑦

𝑎= 𝑎 + 𝑏

𝑎𝑥 − 𝑏𝑦 = 2𝑎𝑏 (𝑏𝑦 𝑒𝑙𝑖𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛 𝑚𝑒𝑡ℎ𝑜𝑑)

(iii) 7𝑥 − 9𝑦 − 19 = 04x + 5y − 21 = 0 (𝐵𝑦 𝑐𝑜𝑟𝑠𝑠 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑖𝑐𝑎𝑡𝑖𝑜𝑛 𝑚𝑒𝑡ℎ𝑜𝑑)

Q.4) For what value of K following equations have no. solution 2x+3y = 5 and 6x+Ky = 15 Q.5) Find the value of K for which following equations have infinniely many solutions- x-4y-9 = 0 ; 2x-Ky-27 = 0 Q.6)Solve for x and y xy/x+y = 1/5 ; xy/x-y = 1/7 (x+y ≠0 , x-y ≠ 0) Q.7) A boat goes 24 Km. upstream and 28 downstream in 6 hours . It goes 30 Km. upstream and 21 Km. upstream in 621 hrs. .Find the speed of boat in still water and also the speed of stream.

Chapter 3 ( Prabability) Q.1) Write sample space when a coin is tossed three times . Q.2) An unbiased die is thrown . What is the probability of getting a multiple of 3 Q.3) A die is thrown once . Find the probability of getting (i) a prime number (ii) a number divisible by 2 Q.4) Three contains are tossed . Find the probability of



(i) getting exactly one head (ii) getting atleast one tail Q.5) A bag contains cards which are numbered from 2 to 90 . A card is drawn at random from the bag find the probability that it bears (i) a two digit number (ii) a number which is a perfect square

Q.6) A number x is chosen from the numbers -4,-3,-2,-1,0,1,2,3,4 . Find the probability that │x│ ‹3

Q.7) The King queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. One card is selected from the remaining cards . Find the probability of getting – (i) a heart (iii) a club (ii) a king (iv) The ‘ 10’ of hearts.

CHAPTER : 4 ( STATISTICS) Q.1) Find the class marks of classes 10-25 and 35-65 Q.2) If the mean of the following distribution is 6, Find the value of P : Q.3) Find the mean ( by assumed mean method)

C.I. 0-10 10-20 20-30 30-40 40-50 50-60 60-70 Fi 4 4 7 10 12 8 5

Q.4) Find median for the following date: Wages (in Rs. ) Number of workers More than 150 More than 140 More than 130 More than 120 More than 110 More than 100 More than 90 More than 80

Nil 12 27 60 105 124 141 150

Q.5) Find the mean , mode and medium for the following data

Marks 0-10 10-20 20-30 30-40 40-50 frequency 8 16 36 34 6

Q.6) Draw a less than type ogive of the following distribution:

Marks 0-10 10-20 20-30 30-40 40-50 50-60

frequency 5 4 8 10 15 18

Find medium from graph.

Xi 2 4 6 10 P+5 fi 3 2 3 1 2



Q.1) If one zero of the quadratic ploynimial x2+(a+1) x-6 is 2. Then what is the value of a? Q.2) At what point will the line x-y =8 intersect y-axis? Q.3) The mean of numbers 8,11,12,x.5.y and 10 is 12 . Find the mean of x and y. Q.4) A die is thrown once . Find the probability of getting a composite numbers. Q.5) Form a quadratic polynomial whose zero are (3-√3)/5 and (3+√3)/5. Q.6) For which value of P does the pair of equation given below has a unique solution 4x+py=8 ; 2x+2y+2 = 0 Q.7) Find the mode of the following data

Marks obtained

0-10 10-20 20-30 30-40 40-50

No. of students

6 10 12 32 20

Q.8) Savita and Hamida are friends . What is the probability that both will have (i) Different birthday (ii) The same birthday. (Ignore a leap year) Q.9) If α and β are zeros of the polynomial x2-5x+6. Then find the polynomial whose zeros are ½ and 1/β. Q.10) Solve graphically 3x+2y=-1 and 5x-2y=-7 also shade the region enclosed by these lines and the x-axis. Q.11) Find the missing frequencies f1 and f2 in the following frequency distribution table , if N=100 and median is 32.

Marks obtained

0-10 10-20 20-30 30-40 40-50 50-60 Total

No. of students

10 f1 25 30 f2 10 100

Q.12) cards marked with all 2-digit number are placed in a box and mixed thoroughly . One card is drawn at random . Find Probability that the number on the card is (i) divisible by 10 (ii) a perfect square number. (iii) Prime number less than 25 Q.13) If the polynomial f(x) = 3x4+3x3-11x2-5x+10 is completely divisible by 3x2-5. Find all zero. Q.14) The sum of a 2 digit number and the number obtained by reversing the digits is 66 . If the digit Differ by 2 , Find the number.

Scores 20-30 30-40 40-50 50-60 60-70 70-80 frequency 8 10 14 12 4 2

Q.16 Cards with numbers 2 to 101 are placed in a box . A card is selected at random . Find the probability thay the cards has (i) an even number (ii) A square number (iii) A two digit number (iv) a prime number

PROJECT WORK 1. To make the frequency distribution of score of any national / international cricket player in 200 matches taking

class – interval m0-10,10-20 …………..up to 90-100 (more than 100 runs to be considered in class interval 90-10) 2. Then find project students will learn the use of statistics in daily life. 3. Will learn how to collect data and way to analyze.



ENGLISH · Questions based on the units of Main Course Book

[UNIT-1 Health and Medicines] 1. Write a letter to M/s Sharma Pharmaceutical, Nazafgarh, Delhi, placing order for some allopathic

medicines. You are Suraj/Sonali, M/s Gupta & sons, Rohini, New Delhi. (120 words)

2. Write a paragraph in 100 words on ‘Junk Food & its effects’. [UNIT-2 Education]

3. Write a letter to the editor describing the causes and effects of ‘Brain Drain’. (120 words) [UNIT-3 Science]

4. Write a letter to Sharma & Sharma Tools Pvt. Ltd., Fazilka Road, Chandigarh, enquiring about the latest gadgets used in the hospitals. You are a supplier of these gadgets like laser etc. owning a shop in Krishna Market, New Delhi. [120 words]

[UNIT- 4 Environment] 5. Write a letter to the editor of a national daily describing the ill- effects of environmental pollution. ( 120

words) [UNIT-5 Travel and Tourism]

6. Write a letter to the editor showing your concern about decreasing interest of people for tourist places. Describe the reasons & suggestions to improve it. (120 words).

[UNIT-6 National Integration] 7. Write a paragraph based on ‘National Integration’. (100 words)

STORY- WRITING-

8. Write a story describing your experience of your encounter with an alien. (150-200 words) 9. Complete the story with the given beginning in about (150-200 words). I was captivated by the surmounting beauty of the Taj Mahal, suddenly a foreigner tourist enquired.......

NOVEL-‘The Story of My Life’ Revise 1-8 chapters (test course). LITERATURE- Revise the test course.



SOCIAL SCIENCE TASK 1: Visit a bank situated near your house and collect brochures related to loan procedures adopted by banks. TASK 2: Conduct a survey in your locality by supplying the following questionnaire to get an idea as to how alert they are as consumers.



TASK 3: Revise your social science course covered till date for your pre midterm tests. TASK 4: Project on Disaster Management. TOPIC: Pocket guide on First Aid Main topics to be covered:-

1. Basic 2. Bleeding 3. Choking 4. Bugs 5. Cold 6. Heart stroke/ Exhaustion 7. Bones 8. Splint 9. Sprain 10. Burns 11. Head injury

Sub Topics: 1. Symptoms 2.Treatment

Note: Support it with suitable pictures. Instructions:-

1. The diary should be of 20cmx15cm of size. 2. Take white thick paper. 3. Cut into desired size. 4. Write the introduction.

i. What is First Aid? ii. When first aid is required?

5. Continue with the main topics. FOR EG:-

1. Bleeding Symptoms:-

a) _______________ b) _______________ c) _______________ d) _______________

Treatment a) _______________ b) _______________ c) _______________ d) _______________

6. One topic should be covered on each page. 7. Collect all the pages and get it spiral binded. 8. Make a cover page of your pocket showing the following details:-

i. Topic ii. Name of the student

iii. Class & section iv. Roll no. v. Submitted to

9. Place a plastic sheet over your cover page before binding.



FIT

1 ACTIVITY 1: Explain any 5 services of Internet (video conferencing, chatting, email, e-learning, blogging, e-shopping, e-reservation etc.)

2 ACTIVITY 2: Discuss the structure of an email message in brief with the help of mail to window. 3 Prepare cover page for activity file along with above mentioned activity.

अवकाशकाल�न गहृकायर

क�ा – दशम ्(�हनद�)

�नबंध (लगभग 200 शबदद म�)

1. मटै् ट्न - महानगरद क् �लए वरदान

2. आतंकवाद – �वशववयाया समसया

औयचा�रक – यत्- �बजल� क� समसया

अनौयचा�रक – यत्- माता क् जागरण ह्तु �मत क् यत

�व�ायन्-

समरक� य क् आय्जन ह्तु �व�ायन तैयार कर�।

सा�हतय्-

क�व ʺद्वʺ का �शलय सौनदयर व यदयांश यर आधा�रत पशन््र याठ्तर स�कयता स् पशन्-

1. शड शतृुतं का नाम

2. गल्वल वा�म�ग (य�रय्जना कायर)

यर��ा का याठयकम – समरण कायर



CHEMISTRY CHAPTER-1 Chemical Reaction & Equations

1. Which among the following is physical change or chemical change? a) Evaporation of petrol b) Burning of L.P.G

2. Zinc liberates hydrogen gas when reacted with dilute hydrochloric acid, whereas copper does not. Explain why?

3. Identify the reducing agent in the following reaction. a) 4NH3+ 5O2→4NO +6H2O b) Fe2O3+3CO→2Fe+3CO2

4. Balance the following chemical equation- a) Fe(s)+H2O(l)→Fe3O4+H2↑

b) Cu(NO3)2∆→CuO+O2↑+NO2↑

5. What happens chemically when quick lime is added to water? 6. What is redox reaction? Identify the substance oxidised and the substance reduced in the following

reaction. a) CuO+H2→Cu+H2O b) 3Fe+4H2O→Fe3O4+ 4H2

7. Identify the type of reaction-

a) Ba(OH)2+2NH4Cl∆→BaCl2+2NH4OH

8. What happens when lead nitrate is heated? a) Write the balanced chemical equation. b) Mention the two gases evolved during heating.

9. A solution of potassium chloride when mixed with silver nitrate solution, an insoluble white substance is formed.

a) Translate the above statement into a chemical equation. b) What type of reaction is this?

10. Why Photosynthesis is considered an endothermic reaction?



CHAPTER-2 Acids Bases & Salts

1. Why acetic acid is called a weak acid though there are four hydrogen atoms in the molecule? 2. Name the acid present in ant sting. 3. While diluting an acid, why is it recommended that the acid should be added to water and not water to

the acid? 4. Identify the compound ‘X’ on the basis of the reaction given below. Also write the name and chemical

formula of A B C + Zn A+H2↑

+ HCL B+H2O + CH3COOH C+H2O

5. A compound ‘A’ is used in fire extinguishers, an antacid and its small amount is also used in making

bakery items. Identify the compound and also explain the reason for above mentioned uses of the compound ‘A’.

6. What happens when dilute hydrochloric acid is added to the following and write balanced chemical equation.

a) Bleaching powder b) Baking soda

7. What happens when nitric acid is added to an eggshell? 8. Name the gas evolved when dilute HCL reacts with Sodium Hydrogen Carbonate. How is it recognised? 9. Name the Sodium Compound used for softening hard water. 10. How will you distinguish baking powder and washing soda by heating?

Do these questions in a separate sheet. Practical Lab Work

Write down Subject Enrichment activities from Lab-manual as discussed in the class.

Compound

X



BIOLOGY

Q.1 (i) where does digestion of starch begin in human body? Ans. ____________________ (ii). During contraction of heart, what prevents backflow of blood? Ans. ____________________ Q.2 Trachea do not collapse when there is not much air because they are- a) Thick and muscular b) Having cartilaginous rings c) Have valves d) Supported by Larynx Q.3 which one of the following blood vessels contains only deoxygenated blood? a) Pulmonary vein b) Pulmonary artery c) Capillaries d) Aorta Q.4 what is Glycolysis? Where it takes place the cell? Ans. ________________________________________________________________________________________________________________________________________________________________ Q.5 Name the largest artery and largest vein of the human body. Ans. ____________________________________________________________________________ Q.6 Name the substrate for the following Enzymes. a) Trypsin ______________ b) Amylase ______________ c) Pepsin ______________ d) Lipase _______________ Q.7 what type of respiration takes place in human muscles during vigorous exercise and why. Justify with corresponding reaction. Ans. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ Q.8 Fill in the blanks- a) ________carry blood away from the heart. b) Absorption of food takes place in _______ with the help of _________ c) Photolysis of water occurs in ________ reaction. d) _________pigment carry oxygen in blood which is present in _______ e) Food moves down in the gut by ___________ f) __________are the areas in a woody stem through which exchange of gases takes place.



Q.9 Complete the following flow chart. Glomerulus→_________→proximal convoluted tubule→_________________Distal convoluted- tubule→__________________ Ureters→__________________→Urethra Q.10 Do the labelling in the diagram given below-

NOTE: Do these questions on a separate sheet. Practical Lab Work Write down Subject Enrichment activities from Lab-manual as discussed in the class.



PHYSICS

I. Prepare chapter- Electricity for periodic test. II. Solve the following questions. 1. Two wires A and B are of equal length different cross sectional area and made of same material.

a. Name the property which is same for both wires. b. Name the property which is different for both wires. · If resistance of wire A is four times the resistance of wire B, calculate- a) Ratio of cross sectional area of wires. b) Ratio of the radii of the wires. 2. A copper wire of resistivity 1.63×10-8Ὠm has cross section area of 10.3×10-4 cm2.

Calculate the length of wire required to make a 20Ὠ coil. 3. Name the physical quantity whose unit is JC-1. 4. Write relation between heat energy produced in a conductor when a potential difference V is applied

across its terminal and a current ‘I’ flows through for time‘t’. 5. Should the resistance of an ammeter be low or high? Give reasons. 6. A circuit is shown find- i. Find the value of R. ii. Reading of the ammeter iii. Potential difference across the terminals of batter

7. V-I graph for two wires A and B are shown. If both the wires are of same length and same thickness, which of the two is made of a material of high resistivity. Justify. A V↑ B I→



8. Find the current drawn from the battery by the network of four resistances shown in figure.

9. An electric geyser rated at 1500w. 250v is connected to 250v line mains. Solve- i. Electric current drawn by it ii. Energy consumed by it in 50 hr. iii. Cost of energy consumed if each unit cost rs.6

10. Two identical wire one of nichrome and other of copper are connected in series and a current (I) is passed through them. State the change observed in the temperature of the two wires. Justify your answer. State the law which explains the above observation. 11. Four resistance of 4Ὠ each are joined end to end to form a square. Calculate the equivalent resistance of combination between two adjacent corners. 12. Define 1 volt. Express it in terms of SI unit of work and charge. Calculate the amount of energy consumed in carrying a charge of 1 coulomb through a battery of 3v.

Documents

MATHSsector-i.thelps.edu.in/UploadedFiles/UpdateDirectory/CLASS-X.pdf · Q.7) The King queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled