Students and Teachers Forum

1. What sound does a snake make?
 

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2. चित्र हेरी खाली ठाउँ भर :

कस्तो गाई ? ( मोटो, दुब्लो)

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3. Do you speak politely with your neighbours?
 

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4. Solve for x , xcotA.tan(90+A) = tan(90+A).cot(180-A)+xsec(90+A).cosecA.

Here,        xcotA.tan(90+A) = tan(90+A).cot(180-A)+xsec(90+A).cosecA or,  xcotA.(-cotA) = -cotA.(-cotA)+x(-cosecA).cosecA or, -xcot2A = cot2A - xcosec2A or,  xcosec2A - xcot2A = cot2A or,  x(cosec2A-cot2A) = .....

5. What are land transports ?

The vehicles that help us travel on land are called land .....

6. खाली ठाउँमा मिल्ने शब्द भरेर वाक्य पुरा गर्नुहोस् :

________ पस । (महल, सडक)

महल पस .....

7. खाली ठाउँमा मिल्ने शब्द भरेर वाक्य पुरा गर्नुहोस् :

________ भर । (रबर, कलश)

कलश भर .....

8. Complete each of the following sentences with an appropriate relative clause.

Example: The man who is sitting on the chair is a businessman.

1. The day when ......................... is still fresh in my mind.
2. The back of the yard where ......................... is my favourite place.
3. President Bhandari, for whom ........................., is representing us.
4. My best friend, whose ........................., is a famous singer.
5. The town where ......................... has changed a lot.

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9. तल दिइएका अक्षरहरू मिलाएर शब्दहरू बनाउनुहोस् । 

१. लामखुट्टे २. लट्टे ३. खट्टे ४. बत्ती ५. .....

10. दिइएको चित्रभित्र रहेको खाली ठाउँमा पाँच वटा संयुक्त शब्दहरू लेख्नुहोस् । 

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11. When do we see the moon and the stars ?

We see the moon and the stars at .....

12. चित्र हेरी खाली ठाउँ भर :

(उनीहरू, ऊ) ‘सर्वनाम’

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13. Name the smallest bone in a human body.
 

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14. चित्र हेरी खाली ठाउँ भर :

(कुर्सी, टेबुल) ‘नाम’

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15. तल दिइएका शब्दहरू छानेर चित्र हेरी नाम लेख्नुहोस् :
 
कमर                               डबल                      तरल                                                       नयन                                                  जतन

 

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16. दिइएको चित्रभित्र रहेको खाली ठाउँमा पाँच वटा संयुक्त शब्दहरू लेख्नुहोस् ।

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17. Match the foods with their names.

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18. Prove that: 2 cos16A + 1 = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1).

Here, RHS  = (2cos2A - 1)(2cos2A  + 1)(2cos4A - 1)(2cos8A - 1)  = {(2cos2A)2 - 12}(2cos4A - 1)(2cos8A - 1)  = (4cos22A - 1)(2cos4A - 1)(2cos8A - 1)  = {2(cos4A + 1)- 1}(2cos4A - 1)(2cos8A - 1)  .....

19. Express following percentage into fraction and reduce them into their lower term.

10%

Here, we have been given a percentage. We have been asked to express into lower term of fraction. At first let us write down given information: Given,  10%  To express percentage in fraction, we should divide percentage by 100 and remove % .....

20. What are side effect due to drinking?

The two examples of side effect due to drinking are: i)   Liver damage ii)  Road .....

21. चित्र हेरी ठिक शब्दमा ठिक चिह्न लगाउनुहोस् :

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22. वाक्य मिलाएर राख :

गयो ऊ बजार ।

ऊ बजार गयो .....

23. Write a role of the state in increasing inclusion.

The state has to make proper policies including marginalized and minorities and need to implement various programmes in order to increase .....

24. Prove that: (1 - cosπ/8)(1 - cos3π/8)(1 - cos5π/8)(1 - cos7π/8) = 1/8.

Here, LHS =(1 - cos π/8)(1 - cos 3π/8)(1 - cos 5π/8)(1 - cos 7π/8) = (1 - cos π/8)(1 - cos 3π/8)(1 + cos 3π/8)(1 + cos π/8), [since cos(π - A) = -cos A.] = (1 - cos² π/8)(1 - cos² 3π/8) = (1 - .....

25. खाली ठाउँमा मिल्ने शब्द भरेर वाक्य पुरा गर्नुहोस् :

__________ बस । (घर, जन)

घर बस .....

26. List some very important measures that we have to take for the protection of our rivers from pollution and disappearance.

We know that there are more than 6000 rivers in Nepal. They are now being polluted disappeared due to pollutions. So, the following types of measures should be taken for the protection of our rivers from .....

27. Prove that: 2 tan( 45°- A)/{1+ tan2(45°- A) }= cos 2A.

Taking, LHS  = 2tan450-A1+ tan2(450-A      We know,  2tanA1+tan2A=sin2A Then, = sin2(450 - A) = sin( 90o - 2A) = cos2A  LHS = RHS proved. .....

28. Prove that: (cot2A + tan2A)/(cot2A - tan2A) = sec4A

Here, LHS = (cot2A + tan2A)/(cot2A - tan2A) = (1/tan2A + tan2A)/(1/tan2A - tan2A)   [ ∵ cotX = 1/tanX.] = {(1 + tan22A)/tan2A}/{(1 - tan22A)/tan2A} = (1 + tan22A)/{(1 - tan22A) = 1/{(1 - tan22A)/(1 + tan22A)} = .....

29. Who wrote the famous book the 'Gulliver's Travels'?

Jonathan .....

30. Prove that: TanA + 2tanA + 4tan4A + 8cot8A=cotA.

We know thw formula, tan 2X = 2tanX / (1- tan²X)

LHS = tanA + 2tan2A + 4/(tan4A)

= tanA + 2tan2A + {4/ (2tan2A)/(1-tan²2A)}

= tanA + 2tan2A + 4(1-tan²2A) / 2tan2A

= tanA + 2tan2A + .....

31. Who is your first teacher?
 

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32. तलको शब्द उस्तै सार्नुहोस् :

सारा

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33. तलको शब्द उस्तै सार्नुहोस् :

माला

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34. खाली ठाउँमा मिल्ने शब्द भरेर वाक्य पुरा गर्नुहोस् :

__________ नगर । (चकचक, दमकल)

चकचक नगर .....

35. खाली ठाउँमा मिल्ने शब्द भरेर वाक्य पुरा गर्नुहोस् :

________ बन । (खयर, नरम)

नरम बन .....

36. खाली ठाउँमा मिल्ने शब्द भरेर वाक्य पुरा गर्नुहोस् :

__________ सर । (पर, फल)

पर सर .....

37. Prove: (1+ cosA)/(1- cosA) = cot2 A/2.

Here, LHS = (1 + cosA)/(1 - cosA) = (1 + 2cos2A/2 - 1)/(1 - 1 + 2sin2A/2)   [ Since, cosA = 2cos2A/2 - 1 and cosA = 1 - 2sin2A/2.] = 2cos2A/2 / 2sin2A/2 = .....

38. What is the fear of water called?

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39. How many lungs does the human body have?

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40. What is the fear of touch called?

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41. तलको शब्द उस्तै सार्नुहोस् :

सहारा

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42. खाली ठाउँमा मिल्ने शब्द भरेर वाक्य पुरा गर्नुहोस् :

__________ लगाऊ । (टप, घर)

टप लगाऊ .....

43. List any five animals that live in a farm.

1. ___________
2. ___________
3. ___________
4. ___________
5. ___________

1. Chicken 2. Horse 3. Donkey 4. Cow 5. .....

44. तलको शब्द उस्तै सार्नुहोस् :

भाला

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45. वाक्य बनाऊ :

सँग

घरसँग आँगन जोडिएको छ .....

46. If A,B& C are angles of a triangle, prove that:  tan(A+B)+tanC = 0.

Here,  A,B& C are angles of a triangle. So,      A+B+C =180o or,A+B = 180 - C. Operating both sides by tan,we get       tan(A+B) = tan(180-C) or, tan(A+B) = - tanC or, tan(A+B) + tanC = 0       .....

47. Convert 3.4 kilometres into metres

Here, we have to convert the kilometre value of length into .....

48. Prove that: sin2A cos2B - sin2B cos2A = cos2B - cos2A.

Here, LHS = sin2A cos2B - sin2B cos2A  = (1 - cos2A)(2cos2B - 1) - (1 - cos2B)(2cos2A - 1)   [ Since, sin2X = 1 - cos2X and cos2X = 2cos2X - 1).] Opening bracket we get = 2cos2B - 1 - 2cos2A.cos2B + cos2A -{2cos2A - 1 - .....

49. Prove thta:
Tan (π/4 + A/2) -tan (A/2 -π/4) = 2 secA.

Here, LHS = Tan (π/4 + A/2) - tan (A/2 - π/4 ) = Tan (π/4 + A/2) - tan (π/4 - A/2) = Sin(π/4 + A/2)/cos(π/4 + A/2) + sin(π/4 - A/2)/cos(π/4 - A/2) = {sin(π/4 + A/2) cos(π/4 - A/2) + cos(π/4 + .....

50. चित्रमा रङ भर्नुहोस् :

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