Students and Teacher's Forum

Students and Teachers Forum

1. In the given figure, AB = BC and AP//BQ//CR. Prove that
(a) BX = 1/2 AP
(b)AP + CR = 2BQ.

1. In triangle ACP, BX = 1/2 of AP [By mid-point theorem.] 2. In triangle RCP, QX = 1/2 of CR .....

2. Mention any four changes occurred in Nepal after the implementation of the constitution of Nepal 2072 BS.

The four changes that occurred in Nepal after the implementation of the constitution of Nepal 2072 are as follows: - The rights, voices and choices of the people have been addressed. - A decade-long political transition has been settled. - The .....

3. आ।व्ह्य इस ग्रफिच्स इम्पोर्तन्त इन मुल्तिमेदिअ अप्प्लिचतिओन्?<ब्र्>ब।णमे अन्य त्वो इन्पुत देविचेस फोर इन्पुत्तिङ ग्रफिच्स इन मुल्तिमेदिअ अप्प्लिचतिओन्?।

प्रश्न बुझिएन त साथी । बुझिने गरी पठाउनुहोस् न ल .....

4. How is it possible to fill medicine in a syringe? Write

When the plunger is pulled backwards there is creation of vaccum in the syringe where the fluid are pulled in the syringe through the needle. By this process the fluid is filled in the .....

5. उपकार र आत्मबलकै कारण उनको क्षयरोग निको भयो ।

उपकार र आत्मबलकै कारण उनकोक्षयरोग निको भयो । सन्दुक रुइत आँखाको नाम चलेको डाक्टर .....

6. From the number cards numbered from 1 to 30, a card is drawn at random. Find the probabilities of the following events.

iv) The number is either a prime number less than 20 or a composite number more than 20.

Prime number less then 20 are , P = 2, 3, 5, 7, 11, 13, 17, 19 n(P) = 8. Composite number more then 20 are , C = 21, 22, 24, 25, 26, 27 , 28, 30 n(C) = 8. Total numbers = 8+8 = 16 Thus, probability = 16/30 = .....

7. Acids are sour in taste? Why?

Acidic taste sour because of their hydrogen ion .....

8. List any four countries of Europe which have been helping Nepal in various development activities. Also, mention the sector of their help.

Europe is the second smallest continent in the world. A lot of multilateral help comes from the European Union A list of four European countries which have been helping Nepal in various development activities is as follows: - German - The .....

9. if fx=4x+5,fogx=4x+17 and gofx=15 then find the value of x

Here, f(x) = 4x +5. fog(x) = 4x + 17 or, f(g(x)) = 4x + 17 or, 4g(x) + 5 = 4x + 17 or, g(x) = x + 3. Now, gof(x) = 15 or, g(4x + 5) = 15 or, 4x + 5 + 3 = 15 or, 4x = 7 or, x = .....

10. if 6 geometric means are inserted between 3 and p and the fourth mean is 15,find the other means and value of p

Here, No.of means = n = 6. First term = a = 3 Last term = b = p. Fourth mean = 15 or, ar4 = 15 [ Since, mn = arn.] or, 3 r4 = 15 or, r = ∜5. Now, b = p = ar8 - 1 [ Since, there are 8 terms .....

11. A sum of money is placed at a simple interest for 3 years at 10% per annum and then the amount is invested for 2 years at the same rate at compound interest. If total amount of 5 years became Rs.471900, what was the sum? Find it.

Let, Rs. P be the sum of money required. Then, Amount after 3 years of SI at 10 % is, A1 .....

12. What is centre of circle?

Centre of the circle is a point inside the circle which is equal distances from the circle. Equal distance is called .....

13. How does industrial gases increase the temperature on earth?

Industries gases like carbon dioxide that accumulates in the atmosphere insulates the surface of the Earth. It's like a warming blanket that holds in heat. This energy increases the Earth's surface average temperature, .....

14. Why does a meteor last for a very short time in space?

When a meteor comes near the planet, the gravity of the planet attracts the meteor and most of the meteors actually disappear, since they completely burn up in the atmosphere. Some of the largest objects, however, manage .....

15. A meteor is finished before reaching the earths surface why?

Most of the meteors actually disappear, since they completely burn up in the atmosphere. Some of the largest objects, however, manage to arrive in the .....

16. Differences between Outer and inner planets.

The planet is divided into two groups. i) Inner planets ii) Outer planets \ Inner planet Outer planet 1. They are closer to the Sun, smaller and rockier. 1. They are further away from the Sun, larger and are made .....

17. प्र.१. कुनै एक उद्धरणको सप्रसङ्ग व्याख्या गर्नुहोस् :
(क) अहो ! संसार कति मतलबी छ ।
(ख) सर्प जस्तै सलल बगेर कसैलाई
तर्साउन सक्ने होइन म ।

प्र.२. कुनै एक उद्धरणको सप्रसङ्ग व्याख्या गर्नुहोस् :
(क) मेरो विचारमा जननी र जन्मभूमि स्वर्गभन्दा पनि महान् छन् ।
(ख) पृथ्वी तल नै स्वर्ग जनता नै जनार्दन
उपकार सदा पूजा फल हो दुःख मोचन ।

प्र.३. कुनै एक उद्धरणको सप्रसङ्ग व्याख्या गर्नुहोस् :
(क) प्रत्येक जातिको आफ्नै जातीय, भाषिक र धार्मिक पहिचान हुन्छ ।
(ख) बेकाल मर्ने यतिका त्रासद मृत्युहरूको म जिम्मेवार छैन,
मलाई गाली नगर ।

प्र.४. कुनै एक उद्धरणको सप्रसङ्ग व्याख्या गर्नुहोस् :
(क) यही साझापना, यही अनेकतामा एकता र आपसी सहिष्णुता नै नेपाली संस्कुति हो ।
(ख) नआओस् आत्तिने दुःख मात्तिने धन सम्पत्ति
यतिले राम्ररी चल्छ सारा जीवनको गति ।

प्रस्तुत पद्यांश कक्षा १० को नेपाली पाठ्यपुस्तक पाठशीर्षक सन्तुष्टि कविताबाट .....

18. Find the probability of getting three heads or three tails when three fair coin are tossed simultaneously.

Here, let us make tree-diagram; (i) 3 tails = P(TTT) = 1/2 ⨯1/2⨯1/2 = 1/8 ii)3 heads = P(HHH) = 1/2⨯1/2⨯1/2 = .....

19. Mention the impact of population growth on environmental and socio-cultural aspects.

The population of a palce may be defined as the number of people living withiin that place in a specified period of time. The ever increasinf population demands and consumes more and more resoucres for sustaining their life. This will cerate .....

20. l.a) If-{(2, 3), (4, 5), (6, 7)) and g_of = {(2, 4), (4.6). (6, 8)), then by using an arrow diagram, find the function g in the ordered pair form.

From the diagram: g(x) = {(3,4), (5, 6), (7, .....

21. Write a readable story with the help of the clues given below:

A lazy donkey.............carries salt bags........has to cross the river on the way..........accidentally falls in water.............salt dissolves slowly...............load lighter............intentionally soaks the salt bags from the next day..........enjoys............master realizes the loss of salt and the secret of the donkey............loads him with cotton............donkey soaks the cotton load too.........the load absorbs a lot of water........it is very heavy........donkey can't move properly.....is beaten by the master........learns good lesson.......never tries his wicked trick.............Moral

The lazy donkey

Bhola owns a donkey called Khandya. Bhola is a very tolerant and kind master. The donkey is lazy and is always finding ways to avoid work. Once .....

22.

If the line bx + ay= ab passes through the point of intersection of the lines 4x - 3y = 11 and 3x + 7y + 1 = 0 and perpendicular to the line 2x = 3y + 4, then find the values of a and b.

We have , 4x - 3y = 11 and 3x + 7y + 1 = 0 Solving these , we get, 4x - 3y = 11 ]⨯7 3x + 7y = - 1]⨯3 _________________ 37x = 74 ⟹ x = 2. Put x = 2 in 4x - 3y = 11, we get y = -1. Hence passing point is ( 2 , -1) Slope of line is .....

23. A(2, 1), B(4, 2) and C9-1, 4) are the vertices of ∆ ABC. Find the image after enlarging with the centre (2, -3) and scale factor 2 and translating through the vector 2AB. Present object and image in the same graph.

We know, E{(a, b), k} : P(x,y)→P'(kx - ka + a, ky - kb +b) For, E{(2, -3), 2} A(2, 1) →A'(4 - 4 + 2, 2+6 -3)= A'(2, 5) Similarly, find B' an C'. Here, the translation vector = 2AB = 2(4-2, 2-1) = 2(2, .....

24. Solve: √3/cosA - tanA = √3 (0^o ≤ A ≤ 369^o).

Here, √3/cosA - tanA = √3 or, √3/cosA - sinA/cosA = √3 or, √3- sinA = √3cosA .....

25. If A+B+C = 180, prove that: sinA/cosBcosC+ sinB/cosCcosA + sinC/cosAcosB = 2tanA tanB tanC.

Here, LHS = sinA/cosBcosC+ sinB/cosCcosA + sinC/cosAcos = (sinA cosA + sinB cosB + sinC cosC)/(cosA cosB cosC) = (2sinA cosA + 2 sinB cosB + 2sinC cosC)/(2cosA cosB cosC) = (sin2A + sin2B + sin2C )/(2cosA cosB .....

26. In the given figure, MNOP is a //gm and S & R are any two points on MN and NQ. Prove that: ∆PSM + ∆SQN = ∆PRQ + ∆MNR.

In parallelogram MNQP, Area of △PQS = 1/2 Area of parallelogram MNQP or, Area of △PQS + Area of △PSM + Area of △SQN = Area of parallelogram MNQP or, Area of △CDN + Area of △ABN = 1/2 Area .....

27. Find the sizes of unknown angles

Please post the diagram of the question as .....

28. Find the people and the total amount,if 4 people is added each receive rs 10 less and if 2 people decreased each receive rs 20 more.

Here, Let x be the number of people and y be the amount received by each. So, total amount = xy From the first case, (x + 4)(y - 10) = xy or, xy - 10x + 4y - 40 = xy or, 5x - 2y = -2 .....

29. Why was Fattejung killed by Junga Bahadur Rana in the Kot Parva?

In 1903 BS, the palace was steeped in conspiracy and there was great political instability. Queen Rajya Laxmi wanted to make her son Ranendra king, and asked assistance from Gagan Man, who was murdered on 31 Bhadra. To find the killer, the queen .....

30. The angle of elevation of the bottom of a window 10m above the ground level from a point on the ground is 30^o. A pole projecting outwards from the bottom of the window makes an angle of 30^o with the wall. If the angle of elevation of the pole observed from the same point on the ground is 60^o, find the length of the pole to the nearest whole number.

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31. A thief runs with uniform speed of 100m/minute. After 1 minute a policeman runs after the thief to catch him. he goes with the speed of 100m/minute in the first and increases his speed by 10m/ minute every succeeding minute. After how many minutes the policeman will catch the thief?

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32. If the matrixx+12x2-122x+3 has no inverse. Find the value of x

Given matrix has no inverse if it is singular. i.e; Determinant = 0 or, (x +1)(2x + 3) - 2(2x2 - 11) = 0 or, 2x2 + 5x + 3 - 4x2 + 22 = 0 or, 2x2 - 5x - 25 = 0 or, 2x2 - 10x .....

33. If a perimeter of a rectangular field is 120 m, and length is 35m find its breadth.

Here, Perimeter = 120m Length (l) = 35m Breadth (b) =? We know, P = 2(l + b) or, 120 = 2( 35 + b) or, 60 = 35 + b or, b = 60 - 35 = 25m .....

34. Prove that the circle x² + y² - 2ax - 2ay + a² = 0 touches both the axes.

Here, Given equation of circle .....

35. The radius of the circle x² + y² - px = 0 is 5 units. Find the value of p. and coordinates of the centre.

Compare the given equation of circle with x2 + y2 .....

36. If the equation of the radius of the circle x² - 4x - 6x + y² = 23 passesthrough (4, 5).

Compare the given equation of circle with x2 + y2 + 2gx + 2fy + c = 0, we get g = - 2, f = - 3 and c = - 23. Thus, center is (h, k) = (-g, -f) = (2, 3). Finally, equation of radius is the .....

37. Find the equation of the circle which passes through the origin and makes intercepts of the length 10 and 24 units on x axis y axis.

Here, circle which passes through the origin and makes intercepts of the length 10 and 24 units on x-axis y-axis. Thus, the points (10, 0) and (0, 24) are the endpoints of diameter. So the equation of ther circle .....

38. Find the equation of the image of the circle x² + y² + 8x - 16y + 64 = 0 in the mirror line y = 0.

Here, compare the given equation of circle with x2 + y2 + 2gx + 2fy + c =0, we get g = 4, f = - 8 and c = 64. Thus, center .....

39. If x - y = 2 is the equation of the chord of the circle x² + y² + 2y = 0, find the equation of the circle which this chord is a diameter.

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40. १६. देशका दुर्गम गाउँमा विकासको मुहान फुटाउन कसले के गर्नुपर्छ ? आफ्नो विचार दिनुहोस् ।

यसको उत्तर बुँदामा रहेको छ । यसलाई अनुच्छेदमा मिलाएर लेख्नुहोस् है त । यसबाट तपाईंको लेखाइ .....

41. Four children are born in a family. There is equal chance of being son or daughter in every birth. Show the probability of having son or daughters in a tree diagram.

Yes. But in exam it will ask 2 childrens or maximum of 3 .....

42. Two equal chords ab and cd of a circle with centre o are produced to meet at e.Prove that be=de and ae=ce.

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43. Factorise:
24y² -68y -756

Here, 24y2 - 68y - 756 = 4(6y2 - 17y - .....

44. Differentiate between paper chromatography and column chromatography.

Column chromatography that in which the various solutes of a solution are allowed to travel down an absorptive column, the individual components being absorbed by the stationary phase. Paper chromatography that using a sheet of blotting .....

45. शन्तिनिकेतन बिध्यलय इश्थपनको मुख्य उद्धेश्य के थियो

शान्ति निकेतन विद्यालय स्थापनाको मुख्य उद्देश्य प्राकृतिक एवम् विद्यार्थी .....

46. (क) ‘सामाजिक न्याय’ शीर्षकमा २०० शब्दसम्मको निबन्ध लेखनुहोस् ।

सामाजिक न्याय शीर्षकमा नेपाली निबन्ध

तपाईं यस .....

47. a) Which one of them shows vegetative propagation?

b) What is the name of the animal shown in b? What is the method of reproduction in it?

c) What type of reproduction is shown in C? Write short about this method.

d) Which one of them is the simplest method of reproduction? Write in short about it?

e. Name the plant shown in' and label a, b, and c in it.

a) Figure 'a' show the vegetative propagation. b) Amoeba is shown in the 'b'. The method of reproduction is fission. c) Budding is shown in the figure 'c'. Budding is the common sexual reproduction in which an .....

48. Answer the following question on the basis of the diagram.

a) label 'a', 'b' and 'c'.

b) Write the function of 'f' and 'd'.

c) what is the process called when 'f' comes from one fower to another with the help of any agent?

d) Which parts of them form seed and fruit?

e) What process is shown by the diagram?

f) What are formed by 'd' after this process?

g. Where is 'f' formed?

.....

49. Answer the following questions on the basis of the given illustration:

a) What is shown in the illustration given above?
b) What are the process 'A' and 'C' called?
c) What is the process 'D" called? How many types of 'D' are found? Explain in short.
d. What are the animals which can form male and female gametes in the same individual called?

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50.

Read the given clues and create a readable story.

Dhan Bahadur ………………….a beggar in Gaurigaun………………….lived on alms…………… had a dream…………………..rich man……………………..started a dairy…………….buffaloes and cows………….built his own house…………….got married ……………….got children…………ran after the children…………..kicked the milk pot……………….spilled all over the floor……….came to reality…………………realized daydream is good for nothing ………….One bird in the hand is better than two in the bush.

Dhan Bahadur lived as a beggar in Gaurigaun. He lived on alms. Once he had a dream after he had a dream after he had got five litres of milk from a generous man. In his dream, he saw himself a rich man after selling the milk in the market. Then .....