Students and Teachers Forum

1. In the figure, P and Q are the mid points of the sides AB and AC respectively, If SP // RQ, prove that the area of ∆ABC is double of the area of the quadrilateral PQRS.

Here, qd.PQRS  is a //gm,    since, PQ// BC by mid-poit theorem  and PS// QR given Jion,Q & B 1.Then Tr. PQB = 1/2 of //gm     , on same base PQ and same //s PQ & BC 2.Tr. PQB = 1/ 2 of Tr.ABQ, PQ is .....

2. A person gains Rs.32.50 by selling an electric kettle which is 12.5% of the cost price. Find its cost price.

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3. Calculate the cross sectional area, the lateral surface area, the total surface area and volume of each of the prism.

1.a.Solution: We know,  TSA  = 2 Area of base + LSA  = 2(16cm x 4cm +8cm x 4cm) + ( 16 + 4 + 8 + 4 + 8 + 8 )cm X 8cm =................find it. Now, Area of base = ( 16cm x 4cm + 8cm x 4cm) = .....

4. The cost of 12 books is Rs.960. What will be the cost of 1 book?

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5. Add:
2500+900

Here, 2500  + 900 = .....

6. What are the classic seven wonders in the world?

- The Great Pyramid at Giza, Egypt. - The Hanging Gardens of Babylon. - The Statue of Zeus at Olympia, Greece. - The Temple of Artemis at Ephesus. - The Mausoleum at Halicarnassus. - The Colossus of Rhodes. - The Lighthouse at Alexandria, .....

7. The area of rectangle is 30cm2 and breadth is one-fourth of its length. Find the length, breadth and perimeter of the rectangle.

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8. What is the area of a rectangle having length l cm and b cm.

From the question . we have,   length = l breadth = b By using formula, Area of rectangle, A = L⨉ B  ∴The area of rectangle is l ⨉ .....

9. About 3/5 of the world's population are in ASia and 3/25 of the world's population are in Europe. What fraction of the world's population are in either Asia or Europe?

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10. Among how many children may 312 chocolates and 192 biscuits be equally distributed ? What will be each child's share?

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11. Who invented telephone?

He was Alexander Graham .....

12. Write Euler's Formula.

Euler's Formula

For any polyhedron that doesn't intersect itself, the

Number of Faces plus the Number of Vertices (corner points) minus the Number of Edges

always equals 2

 

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13. What is the height of Mt.Everest in feet?

29,028 .....

14. Simplify:
a/a+b + b/a-b + 2ab/a2 -b2

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15. Simplify:
2aa+1- 2aa-1+ a+3a2-1

Here, 2a / [ a + 1] - 2a / [ a - 1] + [a + 3 ]/ [ a2 - 1] = [2a( a - 1) - 2a  ( a + 1)] / ( a - 1) ( a + 1) + [a + 3 ]/ [ a2 - 1] = [ 2a2 - 2a - 2a2 - 2a] /( a - 1) ( a + 1) + [a + 3 ]/ ( a - 1) ( a + 1) = -4a .....

16. Find the H.C.F. of :
x2 - 25, x2 - 9x +  20 and x2 - 5x.

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17. Solve:
4x2-36=0

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18. Factorise:

p2 ×q3/p4

Solution: Here,  p2 x q3 / p4 = p2 - 4 x q3                       [ using rule ym/yn = ym-n.] = p-2 x q3 = q3/p2            .....

19. If A:B=2:5 and B:C=15:8 then, find A:C.

Here, A:B = 2:5 and B:C = 15:8 A:C=? We know, A:C = A:B x B:C            = A/B x B/C         = 2/5 x 15/8         = 3:4 Hence,  A:C = .....

20. Draw net of hexahedron.

A hexahedron is any polyhedron with six faces. A cube, for example, is a regular hexahedron with all its faces square, and three squares around .....

21. What is a triangle?

A triangle is a polygon with three straight sides and three angles. The given figure is a .....

22. Convert 500 meter into Km.

You might know, 1000m = 1km or, 1 m = 1/1000 km or, 500m = 500/1000 km ∴   500m = 0.5 .....

23. Do you help your friends to do homework?

Definitely, I do help my friends to do their homework. I help my friends in their difficulties. I sometimes share my answer copy too my friends. I help them in writing A, B, C, D, 1, 2, 3 .....

24. Did people live in moon and mars planet ?

We know that human being needs oxygen and water to survive. But in moon and mars, there is no oxygen, water, and atmosphere for a human to survive. So no people live in moon .....

25. how many animal in earth , nepal and india

Your question is not clear. Please write it .....

26. In the given figure alongside, GP bisects ∡AGH and HP bisects ∡GHC, prove that ∡GPH = 90o.

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27. Prove that the two straight line segments that join the ends of two equal and parallel straight line segments towards the same sides are also equal and parallel.

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28. Simplify: x-yx+y- x+yx-y

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29. Find the H.C.F. of 6x2 - 9xy, 4x2 - 9y2

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30. Factorise: x2 - 7x + 12

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31. समय किन महत्त्वपूर्ण छ ? लेख्नुहोस् ।

समय
समय एउटा वेग वा गति हो जो निरन्तर आफ्नै हिसाबले .....

32. Simplify:
xaxba+bxbxcb+cxcxac+a

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33. Show that the points (7, 9) (3, -7) (-3, 3) are the vertices of an isosceles right-angled triangle.

Let us consider, given vertices are vertices of triangle ABC. Then A(7,9) , C(3,-7) and B(-3,3) are the vertices of ΔABC, We need to show that Δ ABC is an right angles issoceles triangle. For this, find AB, BC  and AC. Here you .....

34. Write the scientific notation of:
 5×1064×10-7264×1072×10-4  

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35. Fcatorize:
(x + y)2 + 11 (x + y) + 30

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36. A square room 4.5m high contains 1458m3 of air. The cost of cost of papering its four walls at the rate of Rs. 15 per meter is Rs. 5400. Find the breadth of paper. 

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37. A mobile set, after allowing a discount of 10% on its marked price, was sold at a gain of 20% . Had it been sold after allowing 20% discount there would have been profit Rs 350. Find the c|CP of mobile set.

Let MP be x, then  SP = MP - 10% of MP      = x - 10/100 x     = 9x/10 SP=CP + 20%of CP or, 9x/10=5CP/4 or, CP = 36x / 50 = 18x / 25,.............i) Again   Discount=20% So, SP= MP - 20% of MP or, .....

38. If ABCDEF is a hexagon then vectorially prove: AB→+BC→+CD→+DE→+EF→+FA→=0.

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39. Explain climate and natural vegetation found in Australia.

Australia's flora can be divided into different vegetation groups. The most important factors that determine an area's vegetation are rainfall and temperature. Most plants in Australia are well adapted to the dry conditions. The main .....

40. A B C are three collinear piont such that AB = BC. If the coordinates of A B and C are (a, 2), (1, 3), (5, b) respectively, find a and b.

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41. Prepare a postcard message for a friend who is abroad. Include your thrilling experience of campaign.

A sample of postcard message is presented below.

                                            .....

42. H2 +O2 ------H2O. Balance the chemical equation.

Please complete your question. Do you mean to balance the chemical equation? If so, The balanced chemical equation is, 2H2 + O2 -----------> .....

43. Subtract
8a-6b from 12a-5b

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44. बुबा र छोराको अहिलेको उमेरको योगफल 60 वर्श छ। यदि दुबै जना जिबित रहेको समयमा अहिलेको बुबाको उमेर बराबर छोराको उमेर हुदा दुबै जनाको उमेरको योगफल 120 वर्ष हुन्छ भने तिनिहरुको अहिलेको उमेर पता लगाउनुहोस।

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45. What are the uses of light energy?

The uses of light energy are:- 1. It help us to see around us. 2. It helps plant to make food. 3. It helps to produce .....

46. What is meant by refraction of light? Which type of mirror is used as side mirror in vehicles and why?

Refraction is the bending of light when it passes from one medium to another. Convex mirror are used as side mirror in vehicles so the large area can be seen in small .....

47. What is echo? Sound absorbing materials are kept in the walls of cinema hall, why? What is the unit of frequency?

1st Answer: Echo is the repetition of sound observed when the distance of the reflector and source of sound is greater or equal to 17m. 2nd Answer: Sound absorbing materials are kept in the walls of cinema hall because to avoid echo inside the .....

48. समूह क मा दिएका शब्दहरु को आर्थ समूह ख वाट पहिचान गरेर लेख
  क                          ख  
                                                
प्रेरक                    एक प्रकार को घास
उपेक्षा                   विनास
ध्वंस                      घ्रीणा     
सम्पदा                  पूजा 
अर्चना                   सम्पति 
 रवर                     हौसला दीने
                            आबेर
                            दान दीने
                            शक्ति

प्रेरकः       हौसला दिने उपेक्षाः      घृणा ध्वंसः       विनाश सम्पदाः     .....

49. A cubical room contains 125 m3 of air.
i) Find the length of its floor.
ii) FInd the cost of carpeting its floor at Rs. 80 per sq. m.

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50. Which is the softest substance in the world?

Talcum powder is the softest material. It is first on the mohs scale. The mohs scale is a scale which measures the softness of a .....