They considered the rays of the eclipse to be harmful. Taking a bath after an eclipse became tradition as a purification act since then. So, people believe that taking a bath before and after an eclipse might erase the unholy shadow of Rahu and .....

Solution: Let the number of turns in secondary coil (NS) be x. Then by question, Number of turns in primary coil (NP) = 150 ⨯ x                                 .....

Solution: Frist expression = x4 + 4                            = (x2)2 + 2 .x2 . 2 +  22 -2 .x2 . 2            .....

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- They can teach people about their rights and duties so that peace culture can be developed well. - The students can advise their friends and families not to do discriminatory behaviours to one    another. - Students can advise their .....

Role of the society to maintain peace culture: - Every society should formulate the code of conduct so that peace culture can be maintained well. - The society should abolish the malpractices such as untouchability, gender discrimination, etc. - .....

Likewise, the population of Hilly region is decreasing day by day. In 2001 AD it was 44.3% and in 2011 AD it was 43%. Similarly, the population of Himalayan regions is also decreasing. In 2001 AD, it was 7.3% and in 2011 AD it was 6.73. It .....

We have given, A + B +C = 1800 or, A + B = 1800- C Dividing both sides by 2, we get A / 2 + B / 2 = 90 o- C/2 Now operate by cos and sin we get, cos(A / 2 + B / 2) = Sin C/2 Sin(A / 2 + B / 2) = CosC/2 Now taking .....

Here, The equation of the circle with centre (0,0) and radius r = 2 is  is, (x- 0)2 + ( y- k )2 = r2 or, x2 + y2 = 4 ......... equation 1. The equation of the line is, x + y = 2 ................ equation 2. To find .....

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x2 + y2 - 6x + y = 1 or, x2 - 6x + 9 - 9 + y2  + 2y *1/2 + 1/4 - 1/4 = 1 or, (x - 3)2 + (y + 1/2)2 - 41/4 = 0 Comparing with  (x - h)2 + (y - k)2 - r2 = 0 Here, Center of circle (h, k) = (3, -1/2) Now, Radius = Distance .....

Definitely, the population of Terai region is increasing rapidly. Terai region is one the three geographical regions of Nepal. It covers 17% of the total land which is located in the south part of the country. It is known as the granary of Nepal .....

Statement Reason 1) PQ = QR = RS = SP All sides of a square are equal 2) AP + AQ = PQ   AP = PQ - AQ SD = SP - DP CR = SR - SC BQ = RQ - BR From figure 3)  AP = PQ - .....

<SPQ = <SRQ [Opposite angles of a parallelogram are equal] Now, Given, <APQ = 1/2 <SPQ [Given]  And, <SRB = 1/2 <SRQ [Given] Therefore, <SPQ = <SRQ  ......(i) Now, <RBQ = <SRB [Alternate angles .....

Statement Reasons 1) In triangle DAP and ABQ, i) <A = < B = 90o [R] ii) DP = AQ [H] iii)DA = AB [S] All angles of square are 90o Given All sides of square are equal  2) .....

Statement Reasons 1) MQ = PM, PM = 1/2 PQ  and, SN = NR NR = 1/2 RS   M and N being mid poins of PQ and SR respectively 2) PQ = RS Opposite sides of a parallelogram are .....

Now let us consider a pie chart .....

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Construction: B and C is joined. M and C is joined.   Statement Reason 1)                                    <ACB + <DBC = .....

I hope, you can prove  Sin2A - sin2B + sin2C = 2sinA cosB sinC, Then, LHS = [Sin2A - sin2B + sin2C] / [2cosA cosB cosC ]           = 2sinA cosB sinC/ [2cosA cosB cosC ]         .....

You may have learnt about the heart. It is a hollow muscular organ. It is covered with a double layered membranous sac called pericardium. Pericardium is thin and transparent layer. The main function of pericardium is to give protection .....

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Due to the global thinking, the world has become a small village. And there is a free flow of knowledge, skills, technology, capital, etc. throughout the world. Because of global thinking, there is unity among the nations to fight against any .....

Here, Frist expression = 8m4 + 27mn3                           = m [ 8m3 + 27n3]                           = m [ .....

They work as a team to break down our food  into useful nutrients that our body can use. Hence, we need digestive system for breaking down food into nutrients, which our body uses for energy and proper .....

There are many uses of concave lenses. They are most popularly used in: i) Lasers ii) Glasses iii) Peepholes iv) .....

(ख) को उत्तरः

(क) दुधे बालक छँदा षडानन्दको जीवनमा घटेको मुख्य घटना भनेको उनकी आमाले छोडेर अर्को .....

35. In a simultaneous throw of two dice, find the probability of (i) getting a total of 7. (ii) getting a total greater than 7. (iii) even numbers on the both dice.
 

Possible outcome when two dice are rolled = {(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)} So, n(S) = .....

36.
A circle is coloured white, red and green as shown in the figure. A grain of rice is dropped over the circle. If the grain drops outside the circle, the process is repeated. Find the probability that the grain drops on (i) white sector (ii) green sector (iii) red or white sector.

 

As we can see in figure green, red and white sectors cover 1/4, 1/4 and 1/2 portion of the whole circle. So, (i) probability of the grain drops on white sector P(W) = 1/2     (ii) probability of the grain drops on green sector P(G) .....

37. A dice is thrown 1200 times and the record of outcomes is given in the table.

Outcomes	1	2	3	4	5	6
Frequency	207	205	187	211	204	186

calculate the emperical probability of getting the numbers (i) less than 3 (ii) greater than 4 (iii) 2 or 5.

Here, n(S) = 1200. (i) numbers less than 3 are 2 and 1.                 so, frequecny of 1 and 2 is, n(E) = 207 + 205 = 412 Hence emperical probability of getting less than 3 = n(E)/n(S) = 412/1200 = .....

38. There are 160 girls and 240 boys in a school.
(i) Find the percent of girls in the school.
(ii) find the percent of boys in the school.

Here total number of students = 160 + 240 = 400. (i) Percent of girls in the school = (number of girls/total number of students) x 100%                               .....

39. How is a nepotism tendency a corruption? Write in a sentence.

In the simplest form, corruption is the abuse of authority. If so, nepotism focuses on giving priority to the nearest and the dearest ones while delivering services. Therefore, this kind of behavior leads to the abuse of authority which we call .....

40. What is a bulb?

Do you mean light bulb? A glass bulb inserted into a lamp or a socket in a ceiling, which provides light by passing an electric current through a filament or a pocket of inert gas. There are many types of bulb. One of its type is filament lamp, .....

41. If a watch was sold for Rs. 1656 after allowing 10% discount on the marked price and adding 15% VAT find the difference between VAT amount and discount amount.

Let the marked Price(MP) be Rs. 'x'. Now, After 10% discount, Selling Price(SP) = x - 10% of x = x- x/10 =  Rs. 9x/10 Now, After 15% VAT is leived on it, SP with VAT = 9x/10 + 15% of 9x/10   = 9x/10 + 27x/200 = .....

42. If f(3x + 1) = 2x - 5, find f(x). Also find the value of x if f^-1(x) = f(x).

Since, f-1(x) = f(x)  then       (3x + 17)/2 = (2x - 17)/3 Now, simplify to get the value of .....

43. The present ages of a father and his son are 40 years and 8 years respectively. How many years ago the product of their ages was 105?

Let x years ago product of their ages was 105. According to question, (40 -x)(8 -x) = 105  Now, simplify to get required .....

44. If the amount of a sum of money becomes rupees 12100 at the end of 2 years and rupees 13310 at the age of 3 years at the rate of interest compounded yearly, find the rate of compound interest and the sum.

Dividing (ii) by (i) we get,     13310/12100 = 1 + R/100 or, 1.1 = 1 + R/100 or, R/100 = 1.1 - 1= 0.1 or, R = 0.1 x 100 = .....

45. 50 students in a classroom like Nepali, History of both subjects out of them 20 like both subjects if the ratio of number of students who like Nepali and History is 3 : 2 by using a Venn diagram, find how many students like Nepali, how many students like History only.

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46. The area of a great circle of a sphere is a CM square. What is a surface area of the sphere ?

Please send complete .....

47. Solve:
cos A + 1/√3 sin A =1 (0°≤A≤360°)

Solution,    cos A + 1/√3 sin A = 1 or, √3 cos A + sin A = √3 dividing both sides by 2, we get   (√3/2)cos A + (1/2)sin A = √3/2 or, sin60cosA + cos60sinA = √3/2 or, sin(60 + A) .....

48. Prove that:
√3 Cosec 20°- sec 20° = 4

From LHS,    √3 Cosec 20°- sec 20° = √3/sin20°  - 1/cos20° = (√3cos20° - sin20°)/sin20°cos20° = 2{(√3/2)cos20° - (1/2)sin20°)}/sin20°cos20° = .....

49. (क) कला मानव सभ्यताको पहिचान हो ।

मानिसको विभिन्न स्तरको व्यवहार र उनिहरूको काल्पनिक तथा व्वसायिक सिपबाट सिर्जना गरिएका .....

50. Give five example of metal and five example of non-metals.

Metals Non-Metals 1) Iron 2) Copper 3) Gold 4) Silver 5) Aluminium 1)Wood 2) Rubber 3) Ice 4) Plastic 5) .....

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