Students and Teachers Forum

1. Prove that:
Sin A/2 + Sin A
___________________ =tan A/2
1+ Cos A/2 + Cos A

2. Where are electrons located in an atom?

Electrons are found in shells or orbitals that surround the nucleus of an atom. Protons and neutrons are found in the nucleus. They group together in the center of .....

3. A (4, 6), B (7, 2) and C(1,2) are the vertices of ΔABC, find the Co-ordinates of the image after translating it in the magnitude and direction of 2AB.

Here, Translation vector = T = 2AB = 2(OB - OA) = 2(7-4 , 2 - 6) = 2(3, - 4) = (6, -8). Now, We know, .....

4. Divide 168 km 8m by 4.

We know, 1 km = 1000 m 168 km = 168*1000 m = 168000 m Then, 168km 8m = ( 168000 + 8 )m = 168008 m Then, dividing 168008 m by 4, we get, = 168008 / 4 = .....

5. Find the perpendicular distance from the point (-1, 2) to the line 2y - 5=0

.....

6. If the angle represented by the line 3x² -5xy + py² = 0 is a right angle, find the value of p.

Here, Compare 3 x2 - 5xy + py2 = 0 with ax2 + 2hxy + by2 = 0, we get a = 3 & b = p. Since, the lines are perpendicular, or angle .....

7. In the adjoining figure, ABCD is a square and FDCE is a //gm. If EG ⊥ FD , FD = 10cm and EG = 3.6cm, find the length of DC.
questionimage

Here, Area of square ABCD = Area of //gm CDFE, [ //gms on same base CD and between same //s CD and BF are equal in area.] or, CD2 = FD x EG [ Area of square = .....

8. Iin the given figure, O is the centre of circle, OABC is a //gm, find the value of x & y.

.....

9. Simplify: x²/(x + y) + y²/(x + y).

Here. x2/(x + y) + y2/(x + y) Taking LCM = x + y we get = (x2 + y2)/(x + y) Which is required .....

10. Cos55+cos35=(2)^1/2sin80

Here, LHS = cos55 + cos35 Using formula of cosC + cosD, we get = 2cos(55 + 35)/2. cos(55 - 35)/2 = 2 cos 45o cos10o = 2 x 1/√2 x cos(90-80) = √2 sin80 [ Since, cos(90-A) = .....

11. A. Match the following:

allegory in the name of
on behalf of representation of an abstract concept
abolition dramatist
privilege benefit
playwright cancellation
important famous
popular significant
disadvantages

B. Match the following:

peep knapsack
faucet thundering sound
rumble looked briefly
detective investigator
backpack tap
low sound

B. peeped = looked briefly faucet = tap rumble = low sound detective = inveetigator backpack = .....

12. Provide answers.

1. Match the following (antonyms).

1. strengthens - old
2. save -weakens
3. voluntarily - forcefully
4. young - solution
5. problem- spend
freely

2. Provide the answers based on the poem below.

I Wandered Lonely as a Cloud

- By William Wordsworth

I wandered lonely as a cloud
That floats on high o'er vales and hills,
When all at once I saw a crowd,
A host, of golden daffodils;

Beside the lake, beneath the trees,
Fluttering and dancing in the breeze.
Continuous as the stars that shine
And twinkle on the milky way,
They stretched in never-ending line

Along the margin of a bay:
Ten thousand saw I at a glance,
Tossing their heads in sprightly dance.
The waves beside them danced, but they

Out-did the sparkling waves in glee:
A poet could not but be gay,
In such a jocund company:
I gazed—and gazed—but little thought
What wealth the show to me had brought:

For oft, when on my couch I lie
In vacant or in pensive mood,
They flash upon that inward eye
Which is the bliss of solitude;
And then my heart with pleasure fills,
And dances with the daffodils.

Questions:

a. Where did the person see the crowd of daffodils?
b. Who is compared with a cloud?
c. What did the speaker see all at once?
d. How many daffodils did the speaker see at once?
e. What dances with the daffodils?

a. Where did the person see the crowd of daffodils? Ans. The person saw the crown of daffodils beside the lake, beneath the trees. b. Who is compared with a cloud? Ans. The speaker is compared with a cloud. c. What did the speaker see all at .....

13. Provide the answers based on the poem.

The road not taken

Two roads diverged in a yellow wood,

And sorry I could not travel both

And be one traveler, long I stood

And looked down one as far as I could

To where it bent in the undergrowth;

Then took the other, as just as fair,

And having perhaps the better claim,

Because it was grassy and wanted wear;

Though as for that the passing there

Had worn them really about the same,

And both that morning equally lay

In leaves no step had trodden black.

Oh, I kept the first for another day!

Yet knowing how way leads on to way,

I doubted if I should ever come back.

I shall be telling this with a sigh

Somewhere ages and ages hence:

Two roads diverged in a wood, and I—

I took the one less traveled by,

And that has made all the difference.

- Robert frost

Choose the best from the given alternatives.

The word ‘wood’ in the poem rhyme with the word………………..

Could 2. Both 3. Locked

The meaning of the word ‘sigh’ is ………………………

A deep and long breath 2. Weep 3. Laugh

The poem is about ………………………….that the speaker face.

Dilemma 2. Road 3. Forest

The two roads diverged in ……………………. Woo

Black 2. Yellow 3. Grassy

The speaker …………………………travel both the roads.

Could not 2. Could 3. Should

A. i. c. could ii. a. a deep and long breath iii. a. dilemma iv. b. yellow v. a. could .....

14.

Provide the answers to the questions based on the poem.

The Chimney Sweeper

When my mother died I was very young,

And my father sold me while yet my tongue

Could scarcely cry " 'weep! 'weep! 'weep! 'weep!"

So your chimneys I sweep & in soot I sleep.

There's little Tom Dacre, who cried when his head

That curled like a lamb's back, was shaved, so I said,

"Hush, Tom! never mind it, for when your head's bare,

You know that the soot cannot spoil your white hair."

And so he was quiet, & that very night,

As Tom was a-sleeping he had such a sight!

That thousands of sweepers, Dick, Joe, Ned, & Jack,

Were all of them locked up in coffins of black;

And by came an Angel who had a bright key,

And he opened the coffins & set them all free;

Then down a green plain, leaping, laughing they run,

And wash in a river and shine in the Sun.

Then naked & white, all their bags left behind,

They rise upon clouds, and sport in the wind.

And the Angel told Tom, if he'd be a good boy,

He'd have God for his father & never want joy.

And so Tom awoke; and we rose in the dark

And got with our bags & our brushes to work.

Though the morning was cold, Tom was happy & warm;

So if all do their duty, they need not fear harm.

William Blake

Fill in the blanks with the correct words from the poem.

The pipe or structure through which the smoke or steam is carried out from a fire furnace …………
The box in which a dead body is buried or cremated is ……………………..
The angle came with a ………………………………to release the boy from the coffins.
Tom’s mother……………………..when he was very young.
This job was to…………………….the chimney.

1. i. chimney ii. coffin iii. a bright key iv. died v. .....

15.

Past and Present

I remember, I remember
The house where I was born,
The little window where the sun
Came peeping in at morn;
He never came a wink too soon
Nor bought too long a day;
But now, I often wish the night
Had borne my breath away.

I remember, I remember
The roses, red and white,
The violets, and the lily-cups--
Those flowers made of light!
The lilacs where the robin built,
And where my brother set
The laburnum on his birthday,--
The tree is living yet!

I remember, I remember
Where I was used to swing,
And throught the air must rush as fresh
To swallows on the wing;
My spirit flew in feathers then
That is so heavy now,
And summer pools could hardly cool
The fever on my brow.

I remember, I remember
The fir frees dark and high;
I used to think their slender tops
Were close against the sky:
It was a childish ignorance,
But now 'tis little joy
To know I'm farther off from Heaven
Than when I was a boy.

Fill in the blanks with the correct words;

In the first stanza, the poet portrays his childhood and his …………….where he was born.

House 2. Window 3. Day

The tree is still living there where the laburnum on his………………………..

Holiday 2. Birthday 3. Marriage day

Thinking that the slender tops of the fir trees reached closed against the sky the poet’s …….

Childish ignorance 2. Joy 3.Spint

The sun …………………through the little windows.

Laughs 2. Peeps 3. Cries

The poet’s ……………………flew in the feathers.

Cap 2. Spirit 3. Body

A. a. 1. house b. 2. birthday c. 1. childish ignorance d. 2. peeps e. 2. .....

16. Read the following text and do the given tasks

I Wandered Lonely as a Cloud

I wandered lonely as a cloud

That floats on high o'er vales and hills,

When all at once I saw a crowd,

A host, of golden daffodils;

Beside the lake, beneath the trees,

Fluttering and dancing in the breeze.

Continuous as the stars that shine

And twinkle on the milky way,

They stretched in never-ending line

Along the margin of a bay:

Ten thousand saw I at a glance,

Tossing their heads in sprightly dance.

The waves beside them danced; but they

Out-did the sparkling waves in glee:

A poet could not but be gay,

In such a jocund company:

I gazed—and gazed—but little thought

What wealth the show to me had brought:

For oft, when on my couch I lie

In vacant or in pensive mood,

They flash upon that inward eye

Which is the bliss of solitude;

And then my heart with pleasure fills,

And dances with the daffodils.

A. Complete the following sentences by choosing the appropriate words from the text.

a. The speaker in the poem was wandering alone like a floating...............
b. the daffodils look like the.................that shine on the milky way.
c. The daffodils are moving their.............lively.
d. The memory comes to the speaker's mind when he/she lies on the...........
e. The speaker dances with the daffodils when his/her heart is filled with..........

Give your own attempt, please. I will help you if you get .....

17. Find the value of cos45^o and tan45^o in any isoscales right -angled triangle.

Let ABC be the right angled isoscale triangle. In this triangle h = √(p2 + b2) = √(p2 + p2) = √(2p2) = p√2. Now, taking reference angle A, TanA =p/b = BC/AB or, tan45o = p/p = .....

18. Interpret the table below:

S.N.	Genre	Number of books
1.	Fiction	125
2.	Poetry	75
3.	Play	100
4.	Prose	125

The table displays the number of books in our school library. According to the table, there are major four types of books in the library. The table clearly shows that the least number of the book is of poetry. As seen in the table, there .....

19. Write an essay on “Agriculture: the backbone of National Economy” in about 200 words. Use the clues given below:

Introduction………………………………………………… Importance of farming………………….its contribution to national economy……………..present situation…………………………. Suggestion for improvement……………….conclusion

Nepali movie ‘Jhola’ is a movie made on a popular book by the same name by literary figure, Krishna Dharabasi. The plot is .....

20. 1. Match the following words in column A with the meaning in the column B:

Column A Column B

Allegory in the name of

On behalf of representation of the abstract concept

Abolition dramatist

Privileged benefit

Playwright cancellation

Popular famous

Abolition significant

Disadvantage

2. Match the following words in column A with the meaning in column B:

Column A Column B

Peeped knapsack

Faucet thundering sound

Rumble looked briefly

Detective investigator

Backpack tap

Low sound

2. peeped - looked briefly faucet - tap rumble - thundering sound detective - investigator backpack - .....

21. Write about BIMSTEC.

The Bay of Bengal Initiative for Multi-Sectoral Technical and Economic Cooperation (BIMSTEC) is a regional organization. It comprises seven Member States lying the areas of the Bay of Bengal promoting regional unity. It came into existence on 6 .....

22. if a and b are two unit vectors, then prove that: (a - b)² = ((a - b)/ab)²

Since, vector a and b are units vectors, so a = 1 and b = 1. Put a = 1 ,b = 1, a2 = b2 = 1 you will get answer in one .....

23. Two childern were born by a couple at the interval of four years. Illustrare the probabilities of son and doughter by drawing a tree diagram. Also find the probablity of having bth daughter.

Here, Sample space = { S, D} Both are daughter = P(DD) = P(D).P(D) = 1/2 ⨯ 1/2 = .....

24. What should be done to make the programs of IFAD more effective? Write four suggestions.

International Fund for Agricultural Development(IFAD) focuses on inclusive and sustainable rural transformation. The main goal of this organization is to help poor rural people overcome poverty and achieve food security through remunerative, .....

25. Triangleabc is given ab=12cm,bc=5cm. In ac, d is midpoint find dc . And also find sina a=a

AB = 12 cm and BC = 5cm. If ABC is right angled triangle, AC = √(AB2 + BC2) = 13cm. Then, SinA = p/h = BC/AC = .....

26. Prove that: Cos20/(1-sin20)=(1+tan10)/(1-tan10).

Here, RHS = (1 + tan10)/(1 - tan10) = (1 + sin10/cos10)/(1 - sin10/cos10) = (cos10 + sin10)/(cos10 - sin10) = {(cos10 + sin10).(cos10 - sin10)}/ {(cos10 - sin10).(cos10 - sin10)} = (cos210 - sin210)/(cos10 - .....

27. What is short circuit?

A short circuit is a problem in an electrical circuit where two or more wires that are not supposed to come in contact with each other touch. A short circuit can result in a very high current flowing through .....

28. परिवर्तित अवस्थामा अपाङ्ग्ता

प्रश्न के हो ? स्पष्ट भएन .....

29. In the given figure, O is the centre of the both circles. If the diameter of the greater circle is 10 cm and chord XY = 8 cm and the radius of the smaller circle is √10 cm, find the length of XP.

Here, join O & P and O & X, as shown figure. Now, OX = d/2 = 5cm. XR = 1/2 of XY = 8/2 = 4cm and OP = √10 cm. In right angled triangle ORX, OR = √{OX2 - XR2} = √{52 - 42} = 3cm. Again in right .....

30. In the given figure, QR is the diameter of the circle with centr O. If OP = 13cm and PR = 10cm, find the length of PQ.

Here, OP=OR=OQ = 13cm [ Radii.] QR = 2 x 13cm = 26cm [ d = 2r.] ∡QRP = 90o [ Since, Angle at the semi-circle is 90o] In right angled triangle PQR, using pythagoras .....

31. In the given circle , O is the cenre of the circle. If OB = 13cm and CD = 24cm, what will be the value of x.

Here, OB = OD = 13cm and CD = 24cm PD = 1/2 of CD = 12cm. Now in right angled triangle OPD, Using Pythagoras theorem, OD2 = OP2 + PD2 or, 132 = x2 + 122 or, x2 = 52

32. N(sour)=1/4,n(chilly)=1/3,who do not like both=50,find total number

Here, N(S) + n(C) + n(SUC)' = 1 or, 1/4 + 1/3 + n(SUC)' = 1 or, n(SUC)' = 1 - 1/3 - 1/4 n(SUC)' = 5/12. Let x be the total no., then 5/12 of x = 50 or, x = 50⨯ 12/5 = 120. Thus total number = .....

33. Sarla bought a book for rs. 125. After reading it some days. She sold it for rs 100.Find her profit or loss percent

Here, CP of book = Rs.125 SP of book = Rs.100 Here, SP > CP. So, Loss = CP - SP = 125 - 100 = 25. Finally, Loss% = Loss/CP ⨯ .....

34. List out the work that has been done by save the children.

Save the Children is an international non-governmental organization. .....

35. Define roles played by UNICEF in the solution of the social problems.

It has been working against gender inequality, HIV/AIDS and child labour. To cambat these very many problems UNICEF is .....

36. Who is the founder of transparency international?

Transparency International is the global civil society organization leading the fight against corruption. Its main aim is to maintain a world free of corruption. It was established on 4th May 1993. It was established by a retired World Bank .....

37. Write the full form of CPI and BPI.

CPI stands for Consumer Price Index. CPI is a measure that examines the weighted average of prices of a basket of consumer goods and services, such as transportation, food and medical care. It is calculated by taking price changes for each .....

38. What might be the benefits of providing education in mother tongue? Discuss with your mates and write any four.

- The social development of a child goes faster. - The child may enjoy learning and school. - Parents can help with homework and can participate in school .....

39. Write the role of the local community to find the solution to the problem of communication.

The role of the local community to find the solution to the problem of communication can be written in the following ways: - The local community should use the available means of communication properly. - The local community should report the .....

40. How to find inclination of straight line with a example.

.....

41. If the inverse of matrix x342 caqn not be defined, find the value of x.

The inverse of a matrix cannot be defined, when the determinant is zero. Then, 2*x - 3*4 = 0 2x - 12 = 0 2x = 12 x = 12/2 x = .....

42. Can an object travel a certain distance even when its displacement is zero?Explain with an example

Displacement is a vector quantity which means it depends upon direction and magnitude. In other words, displacement could be defined as the shortest distance between two points. It can be positive, zero or even negative. When we throw a ball .....

43. Efficiency does not have unit. Why?

Efficiency does not have unit because efficiency is measured in a ratio. Energy out of the machine divided by energy going into the machine equals .....

44. In which condition acceleration is produced? What should be done to increase acceleration?

Acceleration occurs anytime an object's speed increases or decreases, or it changes .....

45. How can we measure the area of peepal leaf and a book?

The process of measuring peepal leaf. Lay the leaves to be measured on a 1-cm grid and trace their outlines. Count the number of square centimeters. Estimate the area of the partial squares. (Here's a simple method for this .....

46. Differrences between ammeter and voltmeter.

Ammeter Voltmeter 1. The instruments used for measuring the current. 1. It measures the voltage between any two points of the circuit. 2. It has low resistance 2. It has high .....

47. Can velocity be negative?

An object which moves in the negative direction has a negative velocity. If the object is speeding up then its acceleration vector is directed in the same direction as its .....

48. Calculate volume of sphere having radius 21cm.

Here, radius of sphere = r = 21cm We know, Volume of sphere = V = 4/3 ⨯ πr3 = 4/3 ⨯ 22/7 ⨯(21cm )3 = 4 ⨯ 22 ⨯ 21 ⨯ 21 cm3 = .....................Find .....

49. Convert 1 metre into inch.

1 inch = 2.54 cm 100 cm = 1 meter 1 cm = 0.0254 inch 1 meter = 1/0.0254 inch 1 meter = 39.37 .....

50. Why should we avoid junk food?

Junk food should be avoided because it may cause heart diseases, cancer, early ageing, high blood pressure, bone problems, diabetes, mental disorders, liver disorders, digestive system problems, constipation, diarrhoea, heart attack, prostate and .....