VIKASH EDUCATIONAL INSTITUTIONS

VIKASH RESIDENTIAL SCHOOL, BARGARH

Summer Holiday Assignment – 2019-20 CLASS – X

ENGLISH 1. Write 20 words starting with „A‟ and give at least two antonyms of each.

2. Video Games, internet, Cell phones and other high-tech gear are just part of growing up

in a digital world. But parents are concerned about the amount of time their children

spend with these and worry that it might be distracting and cramping academic and

social development. Write an article in 180-200 words, describing both the benefits and

herm of using these high-tech devices.

3. You are Akshar, of B-45, Lincoln road, Delhi. You read a news article about the

initiative of the government about developing skill in the young population of the

country to make them financially independent and more employable in the developing

world of technology. Write a letter to the Editor of Young Voice, 467-A, Pulkit Vihar,

New Delhi, about the role it will play in changing India.

HINDI-A 1. MenjeW ³ee ceneveiejeW kesÀ ®eewjeneW Hej efkeÀmeer Òeefme× J³eeqkeÌle keÀer cetefle& mLeeefHele keÀjves kesÀ Heerís ke̳ee GÎsM³e

nes mekeÀles nw ? DeeHe DeHeves FueekesÀ kesÀ ®eewjens Hej efkeÀmekeÀer cetefle& mLeeefHele keÀjJeevee ®eenWies Deewj ke̳eeW ?

2. metjoeme efkeÀme YeeqkeÌleceeie& kesÀ meceLe&keÀ Les ? Heefþle HeoeW kesÀ DeeOeej Hej ÒeceeCe meefnle GÊej efueefKeS ~

3. J³eekeÀjeCe– Heo efkeÀmes keÀnles nw ? Heo kesÀ efkeÀleves Yeso nQ ? YesoeW keÀes meesoenjCe HeefjYeeef<ele keÀerefpeS ~

ODIA 1) ‘ùa÷ù\júg aòkûi’ Kûaý @û]ûeùe Kaò icâûUu ùcøkòKZûe eì_PòZâ _â\û^ Ke û

2) ‘KûAñgòKû_að’ @û]ûeùe cû^ùMûaò¦ PeòZâe cj^úd \òM C_ùe @ûùfûK_ûZ Ke û

SANSKRIT 1) kesÀ<eeefáelebd Hebáeeveeb ef®e$eJeCe&veb kegÀ©le ~

2) ûeec³epeerJeveced Fefle efJe<e³es mebmke=Àle Yee<e³ee efJebMeefle: Jeeke̳eeefve efueKele ~

MATHEMATICS Solve and write the answer of the following questions in your home work copy.

REAL NUMBERS

Q1. Prove that √2+√5 is irrational.

Q2. After how many places the decimal form of 125

24×53 will terminate?

Q3. Prove that square of any positive integer is of the form 5q, 5q+1, 5q+4 for some integer q. Q4. Show that only one of the numbers n, n + 2, n + 4 is divisible by 3.

Q5. Express the HCF of 65 and 117 in the form of 65m +117n

Q6. Three sets of English, Hindi and Mathematics books have to be stacked in such a way that

all the books are stored topic wise and height of each stack is the same. The number of

English books is 96, the number of Hindi books is 240 and the number of Mathematics

books is 336. Assuming that books are of same thickness, determine the number of stacks

of English, Hindi and Mathematics books.

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Q7. Express the HCF of 468 and 222 as 468x + 222y where x and y are integers

Q8. For any positive integer n, prove that n3 − n is divisible by 6.

Q9. The length, breadth and height of a room are 8m25cm, 6m75cm and 4m50cm respectively.

Determine the length of the longest rod which can measure the three dimensions of the room exactly.

Q10. Show that n2 − 1 is divisible by 8, where n is any positive odd integer.

POLYNOMIAL

Q1. If one of the zeroes of the quadratic polynomial f(x) = 14𝑥2 - 42𝑘2𝑥 – 9 is negative of the other, find the value of “k”.

Q2. If α and β are the zeroes of f(x) = 4𝑥2- 5x - 1 , then evaluate: (i) α 2 + β2

(ii) α3 + β3 (iii) α4 + β4 (iv) α 2 - β2

Q3. Find the zeroes of the polynomials and verify the relations between the zeroes and coefficients

of the polynomial 2𝑠2 − 1 + 2 2𝑠 + 2.

Q4. If a and b are the zeroes of a polynomial f(x) = x2-x + 2, find a polynomial whose zeroes are 2a+1 and 2b+1.

Q5. If a and b are the zeroes of the quadratic polynomial p(x) = 4x2-5x-1, find the value of a2b+ab2

Q6. If α, β and γ are the zeros of cubic polynomials x3 + 4x + 2, then find the value

of 1

𝛼+𝛽+

1

𝛽+𝛾+

1

𝛾+𝛼.

Q7. Given that the zeroes of the cubic polynomial 𝑥3 − 6𝑥2 + 3𝑥 + 10 are of the form a, a+b, a+2b for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.

Q8. If the zeroes of polynomial x2+px+q are double in the value to the zeroes of 2x2-5x-3, find the value of p & q. Q9. Find k so that 𝑥2 + 2𝑥 + 𝑘 is a factor of 2𝑥4 + 𝑥3 − 14𝑥2 + 5𝑥 + 6. Also find all the zeroes of the polynomial.

Q10.Given that x- 5 is a factor of the cubic polynomial 𝑥3 − 3 5 𝑥2 + 13x-3 5, find all the zeroes of the polynomial. LINEAR EQUATIONS IN TWO VARIABLES Q1. Solve using substitution method: 2(ax - by) + (a +4b) =0; 2(bx + ay) + (b - 4a) = 0 Q2. Solve using cross multiplication method: ax + by=c; bx + ay=1+c. Q3. There are some students in the two examination halls A and B. To make the number of students equal in each hall, 10 students are sent from A to B. But if 20 students are sent from B to A, the number of students in A becomes double the number of students in B. Find the number of students in two halls. Q4. Determine algebraically, the vertices of the triangle formed by the lines 5x-y=5, x+2y=1 and 6x+y=17. Q5. Jamila sold a table and a chair for Rs.1050, thereby making a profit of 10% on the table and 25% on the chair. If she had taken a profit of 25% on the table and 10% on the chair she would have got Rs.1065. Find the cost price of each. Q6. It can take 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 4 hours and pipe of smaller diameter for 9hours, only half the pool can be filled. How long would it take for each pipe to fill the pool separately. Q7. A railway half ticket costs half the full fare, but the reservation charges are the same on a half

ticket as on a full ticket. One reserved first class ticket from the station A to B costs Rs.2530. Also, one reserved first class ticket and one reserved first class half ticket from A to B costs Rs.3810. Find the full first class fare from station A to B, and also the reservation charges for a ticket.

Q8. Susan invested certain amount of money in two schemes A and B, which offer interest at the rate of 8% per annum and 9% per annum, respectively. She received Rs. 1860 as annual interest. However had she interchanged the amount of investments in the two schemes, she would have received Rs. 20 more as annual interest. How much money did she invest in each scheme?

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Q9. Vijay had some bananas, and he divided them into two lots A and B. He sold the first lot at the

rate of Rs 2 for 3 bananas and the second lot at the rate of Rs 1 per banana, and got a total of Rs 400. If he had sold the first lot at the rate of Rs 1 per banana, and the second lot at the rate Rs 4 for 5 bananas, his total collection would have been RS 460. Find the total number of bananas he had.

Q10. 90% and 97% pure acid solutions are mixed together to obtain 21 L of 95% pure acid solution. Find the amount of each type of acid to be mixed to form the mixture.

ACTIVITY-1:- Find the zeroes of the following polynomial geometrically in Graph Papers.

(i) y = 2x + 3 (ii) y = 𝑥2 − 3𝑥 − 4 𝑖𝑖𝑖 y = 𝑥3 − 4𝑥 ACTIVITY-2:- Using graph, obtain the conditions for lines of system of linear equations in two variables

to be intersecting, parallel or coincident.

(i) 3x + 4y = -1; x + 4y = -3

(ii) 4x+2y = 6; 2x + y = 6

(iii) 4x + 2y = 6; 2x + y = 3 PROJECT:- Collect all the Formula related to mathematics and form a Formula Chart.

SCIENCE PHYSICS: 1. Interact with 5 persons who wear Glasses and ask them the nature of Eye defect they

are having and what type of lenses they are using. List the same thing on a paper.

2. List down at least five devices using optical parts. State what type of rules/ principles

are being used there.

CHEMISTRY:

Learn name of elements from atomic number 1 to 30 of the modern periodic table (An

oral test will be taken in this regard).

BIOLOGY:

List the names of hormones present in human body with their function and location

of their secratory organ.

SOCIAL SCIENCE Economics:

1. Prepare a write-up on given topic “Different persons can have different developmental

goals and, what may be development for one may not be development for the other. It

may even be destructive for the other”.

2. Let each student find out the weight and height of five school going children of different

economic background, five adult persons of different economic backgrounds such as

construction workers, domestic servants, office workers, business-persons etc. Collect

the data from all and make a combined table. Calculate their BMI. And find out any

relationship between economic background of person and her/his nutritional status?

Geography:

1. Write a report on your notion of what should India do, or achieve, to become a

developed country.

2. Plan a survey in your colony/village to investigate people‟s attitude towards recycling of

the domestic/agricultural wastes. Ask questions about : (a) What do they think about

resources they use? (b) What is their opinion about the wastes, and its utilization? (c)

Collage your results and make a report.

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Political Science:

1. Prepare a report on importance of power sharing in the context of our country India

2. Indian Federalism – Briefly discuss and make a report on the following issue that

Challenge the Federal Structure of India

(Regionalism, Division of Powers, Absence of Fiscal Federalism, Unequal Representation of

Units, Centralized Amendment Power, Office of the governor, Single Constitution and

Citizenship, Centralized Planning, Language Conflicts, Issue of Religion, Economic

Incompatibilities of the units , Physical Environment & External forces)

COMPUTER Make a project on Social Networking and its effects.

MUSIC Learn the school prayer “VAISHNAV JANATO” and Sanskrit Birthday song

“JANMA DINA MIDAM”.

DANCE Project Work: Write the definition of NAVRAS (Nine basic Emotions) and Paste

nine photographs of your own face with nine basic emotion(expressions).

ART Make a poster on Swachh Bharat.

X*X*X*X

Parents are requested to spend some value time & to see that your child:

Reads some story books for reading habits.

Takes care of cleanliness of the surrounding.

Plants a tree and nurtures it.

Pays respect towards elders.

Completes the Holiday Assignment by himself or herself.

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