Students and Teachers Forum
Let A(3, 7) = (x1, y1) and D(3, -2) = (x2, y2). Centriod divides the median in the ratio 2:1 = m1:m2. So, coordinate of centriod is G(x, y) = ((m1x2 + m2x1)/(m1 + m2) , (m1y2 + m2y1)/(m1 + m2)) = ((2.3 + .....
You may know that, median is the line drawn from one vertices to the mid point of the remaining two points in a triangle. Here, Given vertices are A (2,5), B(-4,1) and C(-8,-3) . Using mid point formula, to find the mid point of points B( -4 , 1 .....
Here, tanx - sinx = 0 or, sinx/cosx - sinx = 0 or, sinx - cosx sinx = 0 or, sinx( 1 - cosx) = 0 Either, sinx = 0 ............Find x. Or, 1 - cosx = 0 ⟹ cosx = 1.........Find .....
Here, tanx = 2sinx or, tanx - 2sinx = 0 or, sinx/cosx - 2sinx = 0 or, sinx - 2cosx sinx = 0 or, sinx( 1 - 2cosx) = 0 Either, sinx = 0 ............Find x. Or, 1 - 2cosx = 0 ⟹ cosx = 1/2.........Find .....
Here, we have given, | vector a + vector b| = 18 Squaring both sides,we get or, a2 + 2 vecttor a . vector b + b2 = 182 or, 62 + vector a . vector b + 82 = 324 or, vector a . vector b = 112. Now, to find angle .....
We know, Vector BA . vector BC = AB.BC cos∡B or, 18 = 3√2 BC cos45o [ As, AB = AC, ∡B = ∡C = 45o.] or, BC = 6 .....
We have given, A + B + C = 90 or, A + B = 90 - C or, cos(A + B) = cos(90 - C) or, cosA cosB - sinA sinB = sinC or, (cosA cosB - sinA sinB)2 = sin2C or, cos2A cos2B - 2 cosA cosB sinA sinB + sin2A sin2B = sin2C Try to complete it .....
Here, Given point is A(x, y) = (3, 5). Radius(r) = 4 and centre (h, k) = (2, 3). Now, Inversion point of A is A' (x', y') . We know, x' = h + r2(x - h)/{(x - h)2 + (y - k)2} = 2 .....
Let a = assumed mean = 1325. Here, h = 50 Wages Mid-value(x) No.of emplyooes(f) d' = (x - .....
Aquatic Terrestrial 1. aquatic animals respire by lungs 1.terrestrial animals respire by gills 2. they have a soft, slippery skin 2.they have a leathery hard or spiny .....
Let the digits are A & B and its value is 10A + B. We are told that A + B = 8, So B = 8 - A. Substituting the value of the number is 10A + 8 - A = 9A + 8 Subtracting 27 we will have 9A + 8 - 27 = 9A - 19 And we are told that .....
Some of the points that are to be considered for producing the large amount of hydro-electricity and making it beneficial are: Proper development of the other supporting infrastructures Exploring other potential new markets both for internal and .....
Because the bottom of boat is in more depth than sides and we know pressure is directly proportional to depth. So as the depth increases pressure increases and more water comes in the boat,which will make the boat .....
मुख्य बुँदालाई आधार बनाई वर्णन गर्नुहोस् है त .....
ere, No. of possible outcomes = n(S) = 52. No.of Ace card = n(A) = 4 No.of Queen cards = n(Q) = 4. Now probability of getting an ace or a queen = P(AUQ) = n(A)/n(S) + .....
Here, AB= x be the height of pole and BC= √3 x is length od shadow. Sun's altitude = ∡C = ? In right angled triangle ABC, tanC = AB/BC [ Since, tan = p/b.] or, tanC = .....
Here, Height of pyramid (h) = 20cm Length of side of pyramid(a) = 5cm. Volume (V) = ? We know, Volume of pyramid = 1/3 x area of base x height .....
Compound Interest quarterly (CI) = P[(1 + R/400)4T - .....
London receives uniform rainfall due to its unique geographical location. This mostly due to the location, being right in the path of the atmospheric jet stream. The jet stream is a massive but mysterious driver for weather that usually passes .....
Economic plans are an outline of the framework designed to attain certain specific goals. It considers the natural, financial and human resources that are available for the execution of the plan. The economic plans are formulated and executed .....
Here, t1 = 1/2 = 1/(1+1) t2 = 2/3 = 2/(2+1) t3 = 3/4 = 3/(3+1) t4 = 4/5 = 4/(4+1) Thus, by generalization, tn = n/(n + 1) Again, to find 15th term, Put n = 15, we get t15 = 15/(15 + 1) = .....
Some of the difference between Purbeli and Deuda songs are: Purbeli songs are sung in eastern region while doing household tasks while Deuda are sung during special occasions. Purbeli songs are popular in the eastern region while Deuda are .....
Some of the septs the local and the provincial government may perform to enact it are: Mobilise the local community for developmental works Utilise the local resources and human skill to provide the people with knowledge about financial .....
The federal legislature aoopoves laws, annual budget, amendments constututions thereby providing the legal framework for the executive to perform. The executive branch provides the business to the legislative branch by frowarding the bills for .....
The difference between stock exchange and loan can be shown in the table below: Stock Exchange Loan A stock exchange is an exchange where stock brokers and traders can buy and sell shares of stock, bonds, and other .....
Map scale refers to the relationship between distance on a map and the corresponding distance on the ground. For example, on a 1:100000 scale map, 1cm on the map equals 1km on the ground. Scales are required to navigate maps correctly. It gives .....
Mediterranean climate is characterized by hot, dry summers and cool, wet winters. It is located between about 30° and 45° latitude north and south of the Equator and on the western sides of the continents. The Mediterranean climate .....
Some of the roles an individual may play when appointed as head of national resource and finance commission are: Utilise the locally available financial and natural resources to maximise the result Look into the impact to environment due to .....
The comparison between the WW-I And WW-II are as follows: WW I WW II The assassination of Archduke Francis Ferdinand of Austria in June 1914 resulted in WW I from 1914-1918 Treaty of Versailles which Germans .....
Format of News article: Headline : Make it attractive and short as far as possible Byline : Tells who wrote the stroy Lead Paragraph: This has ALL of the who, what, when, where, why and how in .....
The savanna is a type of grasslands biome. The savanna is sometimes called the tropical grasslands. Savannas have two distinct seasons in regards to precipitation. There is a rainy season in the summer with around 15 to 25 inches of rain and a .....
A developmental plan may be defined as a well formulated strategy to obtain the desired objectives within stipulated timeframe by the consumption of locally available resources. Some of the steps that are to be considered while executing the .....
The Constitution of Nepal 2072 identified Nepal as independent sovereign federal democratic republic. According to National census 2068 BS there are 10 religions, 125 races and 123 languages in Nepal. This huge diversity makes the implementation .....
Projects of national pride refer to those projects that serve a greater number of people. There are different projects going on around the country for upgrading the living standard of the people. One of the famous projects of national pride is the .....
पहिला चारवटा बुँदा टिपेर देखाउनुहोस् न है .....
मुख्य बुँदालाई आधार बनाई अनुच्छेदमा उत्तर लेख्नुहोस् है .....
Here, cot4a - cot3a + √3cot4a.Cot3a = -√3 or, cot4a - cot3a = - √3( cot4a cot3a + 1) or, -1/√3 = (cot4a cot3a + 1)/(cot4a - cot3a) or, -1/√3 = cot(4a - 3a) or, cot(180 - 60), cot(360 - 60) = cota or, cota = .....
We have given, A + B + C = 180 or, B + C = 180 - A or, cos(B + C) = cos(180 - A) = - cosA. Here, LHS = 2sin2A + cos2B + cos2C - 1 = cos2B + cos2C - 1 + 2 sin2A = cos2B + cos2C - (1 - 2 sin2A) = cos2B + cos2C - cos2A = 2cos(2B + .....
In triangle ABC, D is the mid-point of AB, So, Vector CD = (vector CB + vector CA)/2 or, Vector DC = (vector BC + vector AC)/2.....................(i) Similarly, Vector BE = (vector BC + vector .....
We know that a state has three organs: the executives, the judiciary and the legislative branch. Amongst these organs, only the judiciary has the authority to interpret the constitution of the nation. It is also responsible to implement laws and .....
Here, To buy $10000 he need Rs.106 ⨯ 10000 = Rs.1060000 Again, Nepali money is devaluated by 10%. So, 1₤ = Rs.156 + 10% of 156 = Rs.171.6 Here, in Rs.1060000, he can buy 1060000/171.6 = ₤6177.17 Since, 5% commission .....
We have given, 1/a + 1/b + 1/c = 1/(a+b+c)
or, 1/a + 1/b = 1/(a+b+c) -1/c
or, (b+a)/ab = {c - (a+b+c)/c(a+b+c)
or, (a+b)/ab = -(a+b)/(ac+bc+c^2)
or, 1/ab = -1/(ac+bc+c2)
or, -ab = .....
There were two major alliances during World War II: the Axis and the Allies. The three principal partners in the Axis alliance were Germany, Italy, and Japan. These three countries recognized German domination over most of continental Europe; .....
मेरी आमा काम गर्नुहुन्छ । उहाँ बहिनीलाई पनि काम गराउनुहुन्छ । मेरी आमा कपाल कोर्नुहुन्छ .....
There is no relation between friction and VR . However to overcome friction greater effort is needed this decreases MA .but VR is not affected because it depends upon the displacement of load and effort and not on their magnitude .....
Let x = 0.41............. (i) Then 100x = 41.41......... (ii) Now subtracting (i) from (ii), 100x = 41.41...... - x = -0.41........ ____________________ 99x = .....
मुख्य कुरालाई आधार बनाई उत्तर लेख्नुहोस् .....
Area of //gm ABCD = Area of .....
Since both of them will get older by 3 years each sum of the present ages is 48+3+3= 54. If age of father is taken as X ,that of son will be (54-X) After hree years hence, their age will be respectively ( X+3) & (54—X+3). According to .....