Students and Teachers Forum

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Inverse Matrix: Here,  A  and  B are  two square matrix of same size, then A and  B are said to be inverse to each other if  AB = .....

Here,         tan2θ + (1 - √3) tanθ - √3 = 0 or,   tan2θ +  tanθ - √3  tanθ - √3 = .....

Here,  In order to multiply two matrices, A and B, the number of columns in A must equal the number of rows in B. Thus, if A is an m ⨯ n .....

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We know that the universe is expanding because, with some nearby exceptions, almost every galaxy in the universe is moving away from us and from one another. Not only that, but very distant galaxies appear to be receding even more quickly, evidence .....

Here,        Sin2θ + cosθ = 1 + 2sinθ or, 2sinθcosθ + cosθ = 1 + 2sinθ      [ Since, sin2A = 2sinA .....

The Head of the state is the President.   The president of Nepal at present is Bidhya Devi Bhandari. She has been elected the president of Nepal the second .....

It helps to find the location of a place. It helps to calculate the distance between two places. It helps to understand the roads and subways at new places. We can get information about mountains, rivers, cities, .....

1. x + ∠FCD = 180 [Opposite angles of concyclic quad.] 2. x + ∠ABD = 180 [Same as above] 3. ∠FCD = ∠ABD [ From 1 and 2.] 4. AB // FC [ Corresponding angle] 5. Similarly, FC // ED  6. So, AB // ED 7. x + .....

 
तीज (निबन्ध)
भाद्र शुक्ल पक्षको .....

Here, =  1x-2+ 44-x2 = 1x-2  - 4x2 - 22                              .....

Here, 1y2x-y- 1x2x-y = (x2 - y2)/ {x2y2(x - y)}.             [ Since, taking LCM : x2 .....

Here,    x2yx-y- xy2x+y Taking (x - y)(x + y) as LCM, we get = x2y(x + y) - xy2(x - y)(x-y)(x + y) = xy(x2 + xy - yx + y2)(x+y)(x - y) = xy(x2 + y2)x2-y2, .....

Here, 1a-2- 1a-1 = (a - 1 - a + 2)/ {(a - 2) (a - 1)}     [Take (a - 2) (a - 1) as LCM] = 1/(a - 2) (a - .....

Here, 1a+1+1a-1 Taking LCM, we get = (a - 1 + a + 1)/ {(a + 1) (a - 1)}        [ ∵ a .....

Here, x2x2+6x+8+4xx2+6x+8   Taking x2+6x+8 as LCM, we get = (x2 + 4x)/(x2+6x+8)      .....

Here,  aa2-b2-ba2-b2 Taking a2 - b2 .....

Here,     xx2-y2-yx2-y2 = xx2-y2-yx2-y2 = x - y x2-y2 = x - y(x + y)(x - y) = 1x + y which is the required .....

Here,    x+y2xy+x-y2xy = x+y + x -y2xy =   2x2xy. = 1y , is the required .....

Here, 2aa-b-2ba-b = 2a - 2ba-b = 2(a - b)a-b = 2 is the required .....

Look into the map given .....

Here,    aa+b+ba+b =  a + ba+b                            [Taking (a+b) as LCM] = 1 is the required .....

2x2 / (x2 - 25) - 2x / (x - 5) = 2x2 / (x - 5)(x + 5) - 2x / (x - 5)   ---- [Using the formula a2 - b2 = (a + b)(a - b) on denominator] = {2x2 - 2x(x + 5)} / (x - 5)(x + 5) = {2x2 - .....

Domestic violence is one of the common social problem rooted deep into the Nepalese society be it verbal or physical. If one is subjected to any form of the domestic violence, the individual may take the following steps: report the .....

When Benito Mussolini gained power in Italy he began to develop contacts with right-wing forces in Spain. In March 1934 Mussolini met a group of Spanish politicians and generals in Rome who were opposed to the Second Republic. On the outbreak of .....

Nepal is a landlocked small nation between India and China Nepal has long been a place of pilgrimage for Buddhists and Hindus from Tibet and the Indian subcontinent. From 1846 to 1951 Nepal was ruled by the Rana dynasty. Jung Bahadur Rana seized .....

After the October Revolution of Russia in 1917 AD, the influence of communism spread widely around the world. For stopping the influence of communism in Europe, Japan and Germany had signed a treaty in 1936 AD called Anti Comintern Pact. In .....

Francisco Franco was born December 4, 1892 and died November 20, 1975, Madrid; Spain. He was general and leader of the Nationalist forces. It was his forces that overthrew the Spanish democratic republic in the Spanish Civil War .....

Some of the differences are: Imperialism aims to increase nation's boundary while dictator aims to rule the nation with an iron fist with no such aim. Imperialists consult their arm generals to extend their border but the dictators make .....

The interchange of the left and right sides in the image of an object in a plane mirrror is called Lateral inversion.                        .....

Paradigm is a model for something which explains it or shows how it can be produced. Paradigm is a clear and typical example of something. Ex: He had become the paradigm of the successful man. [+ .....

ABC is an isosceles triangle. So,  ∡ABC = ∡ACB BY and CX are angular bisectors of ∡ABC and ∡ACB. So, ∡ABY = ∡CBY = ∡BCX = ∡ACX  ----- [Bisector divides an angle into two equal .....

Let the common ratio be x. Then No.of sea lions = 4x  & no.of penguins = x According to question, 4x = 84 + x or, 3x = 84 Find x. Then, No.of sea lions = 4x =..........Find .....

Here, a+2b = 14 and 5a+4b = 16 Adding these, we get 6a + 6b = 30 or, a + b = 5 So, mean of a & b = (a + b)/2 = .......................complete .....

Here, 13 - 5x = 31 or, 5x= 18 or, x = 18/5 Now,    5x+31  = 5⨯18/5+31  = √ 49 =..........Complete .....

The coronary artery originates from the aorta of the heart. The coronary artery is composed of the left and right coronary arteries, both of which give off branches. The left coronary artery, arises from the aorta above the left cusp of the aortic .....

Here, Area of room = A = l ⨯ b = 16m ⨯ 10m = 160m2 Area of stone = a = 2m2 No.of stone = N = ? We know,  No.of stone = N = A/a                    = 160m2 / .....

Here,    8a+5b 8a-5b=73  or, 3(8a + 5b) = 7(8a - 5b) or, 24a + 15b = 56a - 35b or, 24a - 56a = - 35b - 15b or, -32a = - 50b or, a/b = 50/32 Find .....