COMPUTER
CLASS X
WRITE IN BRIEF ON THE FOLLOWING:1)
2)
3)
4)
E-MAIL
VIDEO CONFERENCING
E- BANKING
SOCIAL NETWORKING
NOTE-; DO THIS WOREK IN A4 SIZE SHEET
ENGLISH
CLASS X
1.Read the novel “ Story of my life “ and write the question and answers in the HW notebook.
2. learn the answers of the lessons completed
Class X
Real numbers
1. Find the H.C.F of 1965 and 2096 using the method of Fundamental Theorem of
Arithmetic.
[131]
2. Using the method of Fundamental Theorem of Arithmetic, find the H.C.F of 324 and 594.
[54]
3. Using prime factorisation method, find the H.C.F of 9775 and 11730. [1955]
4. Find the H.C.F of 9775 and11730 using Euclid’s Division Algorithm.[1955]
5. Given that L.C.M(480, 672)=3360, find H.C.F
[96]
6. Without actual division find whether the rational number 41/37500 is terminating or nonterminating repeating decimal.
[Non-terminating repeating
decimal]
7. Write the decimal number 2.375375375…… in the form p/q in the simplest form.
[785/333]
8. Express 2.1363636……… the form p/q in the simplest form.
[47/22]
9. Prove that 4√7 is irrational.
10. Show that every positive even integer is of the form 2q and every positive odd integer is
of the form 2q+1, q is some integer.
11. Show that every positive odd integer is of the form (6q+1) or (6q+3) or (6q+5), where q
is some integer.
12. Show that one and only one out of.a, (a+2), (a+4) is divisible by 3, where a is any
positive integer.
13. Can any number of the form 4n, n ∈ N ends with digit zero? Explain your answer.
14. Show that a positive integer is a perfect square only if it is of the form 3k or 3k+1, where
k ∈ N.
15. Show that the cube of any positive integer is of the form 9k, 9k+1 or 9k+8, where k is
some integer.
16. Find the H.C.F of 1794, 2346 and 4761 using Euclid’s Division Lemma.
17. If p is a prime number, prove that √𝑝 is irrational.
18. Prove that √7 is irrational.
19. Show that 7-√5 is irrational.
20. Without actual division find whether the rational number 17/3125 is terminating or nonterminating repeating decimal.
[Terminating decimal value]
21. Show that the square of any positive integer is of the form 5k, 5k+1or 5k+4, k ∈ N.
22. Show that any number of the form 7n, n ∈ N can never end with digit 0.
23. There is a circular path around a sports field. Rajesh takes 18 minutes to drive one round
of the field, while Raman takes 12 minutes for the same. Suppose they both start at the
same point and at the same time, and go in the same direction. After how many times will
they meet again at the starting point?
[36minutes]
24. Without actual division find whether the rational number 14/1500 is terminating nonterminating repeating decimal.
[Non-terminating repeating decimal]
25. Express the decimal number0.3333……as a fraction in the simplest form.
Polynomials
26. Find the zeroes of the polynomial x2-4x+3.
[1,3]
2
27. Find the zeroes of the polynomial x +x-2.
[-2,1]
28. Find a quadratic polynomial, the sum and product of whose zeroes are 7/3 and -2
respectively.
[3x2-7x-5]
29. Find the quadratic polynomial whose zeroes are 2and -3.
[ x2+x-6]
30. Find the quadratic polynomial whose one of the zeroes is √3/4 and the product of zeroes
is -1/2.
[4√3x2+5x-2√3]
31. The zeroes of quadratic polynomial f(x)=x2-7x+k are 𝛼 𝑎𝑛𝑑 𝛽 such that 𝛼- 𝛽=3. Find the
value of k.
[10]
32. If one of the zeroes of the quadratic polynomial 2x2+kx-12 is -4, find the value of k.
[5]
2
33. The zeroes of quadratic polynomial p(x)=6x +mx+2n are -3/2 and 4/3. Evaluate the
values of m and n.
[m=1, n=6]
2
34. If one of the zeroes of the quadratic polynomial f(x)=3x -20x +3p+4 is four times the
other, find the value of p.
[52/9]
2
35. The zeroes of quadratic polynomial x +4x+k are 𝛼 𝑎𝑛𝑑 𝛽. Find the value of k if 5𝛼 +
2𝛽=1.
[-21]
2
36. Find the zeroes of polynomial g(x) =√3x +10x+7√3.
[-√3, −7/√3]
2
37. Find the zeroes of quadratic polynomial f(x) = x -3x-28 and verify the relationship
between the zeroes and coefficient of the polynomial.
[-4,7]
2
38. Find the zeroes of quadratic polynomial f(x) =4x -4x+1 and verify the relationship
between the zeroes and coefficient of the polynomial. [1/2, ½]
39. Find the zeroes of the quadratic polynomial f(t)=3t2+6t and verify the relationship
between the zeroes and coefficient of the polynomial.
[0, -2]
2
40. If 𝛼 𝑎𝑛𝑑 𝛽 are the zeroes of the polynomial p(x) = x +12x+35, evaluate 1/𝛼 − 1/𝛽.
[-12/35]
41. If 𝛼 𝑎𝑛𝑑 𝛽 are the zeroes of the polynomial p(t) = 6t2+t-12, then evaluate 𝛼 2+𝛽 2.
[145/36]
2
42. If m and n are the zeroes of the polynomial f(x) =3x +11x-4, then find the value of m/n +
n/m.
[-145/12]
2
43. If p and q are the zeroes of the polynomial f(t) = t -4t+3, then find the value of 1/p + 1/q –
2pq.
[-14/3]
44. If the sum of the squares of the zeroes of a quadratic polynomial f(x)= x2-18x+m is 180,
find the value of m.
[72]
2
45. The zeroes of quadratic polynomial p(x) = 2x +x+m are 𝛼 𝑎𝑛𝑑 𝛽. Find the value of m if
𝛼2+𝛽 2+𝛼𝛽=13/4.
[m= -6]
2
46. The sum and the product of zeroes of the polynomial f(x) =4x -27x+3k2 are equal. Find
the value of k.
[±3]
47. Find the polynomial whose zeroes are the reciprocal of the zeroes of the polynomial g(x)
=9x2-18x+8
[8x2-18x+9]
48. Find the zeroes of polynomial p(x) =x3-3x2-25x+75,if its two zeroes are equal in
magnitude but opposite in sign.
[5, -5, 3]
49. Use division algorithm to find the quotient q(x) and the remainder r(x) when f(x) =8x338x2+36x+5 is divided by g(x) =4x-3.
[g(x)=2x2-8x+3, r(x)=14]
50. If (x2+x-12) divides x3+ax2+bx-84completely, find the value of a and b [a=8, b=-5]
51. If (x-3) is a factor of x3+ax2+bx+18 and a+b=-7 find a and b.
[a=-4, b=-3]
2 2
52. Find the value of k so that (x+1) is a factor of k x -2kx-3.
[k=1 or -3]
53. Find a and b such that x+1 and x+2 are both factors of the polynomial x3+ax2-bx+10.
[a=8, b=-17]
54. Verify that 2, 3 and ½ are the zeroes of the cubic polynomial p(x) =
2x3-11x2+17x-6
and verify the relationship between its zeroes and coefficients.
[2a3-9ab+27c=0]
55. Find the zeroes of the cubic polynomial g(x) =x3-3x2-13x+15, it is being given that 1 is
one of the zeroes of g(x).
[1, -3 and 5]
56. Use division algorithm to find the quotient q(x) and the remainder r(x) when f(x) =8x412x3-2x2+15x-4 id divided by g(x) =2x2-3x+1.
[3√10, −3√10]
57. Use division algorithm to find all the zeroes of the polynomial p(x) =6x4-10x325x2+35x+14.it is being given that
−
√7
√2
𝑎𝑛𝑑 −
√7
√2
are two of its zeroes.
[-1/3, 2,
√7
√2
and
√7
]
√2
58. What must be subtracted from the polynomial f(x) =14x4+11x3-23x2+25x+1 so as to
make it exactly divisible by g(x) =3x2+5x-2.
[19x+1]
59. Determine the value of k such that (x-2) is a factor of polynomial f(x) =x3+kx2-5x-6.
[24]
2 2
60. Find the value of k so that(x-3) is a factor of polynomial k x -kx-2.
[k=-1/3 or
k=2/3]
PHYSICAL EDUCATION
HOLIDAY HOMEWORK
CLASS VI TO X
1. To do practice of any specific game/sports of their choice & develop
their skill in it as judo, taekwondo, swimming, skipping, chess etc.
2. Make project file on any one game or sports of their own choice.
HOLIDAY HOME WORK
CLASS X
SUB: - SCIENCE
Q1. Write all the important definitions from the following chapters.
a) Chemical reactions and equations
b) Life processes.
c) Electricity.
Q2 What are life processes? Name them and describe any one of the life
processes of human-being in detail.
Q3 Write a report on the topic “ combustion leading to environmental
pollution and ways and means to check pollution.
Q4 (i) State Ohm’s law. Write mathematical form of Ohm’s law.
(ii) What is Joule’s heating effect? List applications of Joule’s heating
effect in daily life.