Students and Teachers Forum
Given, x = 3 y = x2 - 4x + 7 ................(i) Substituting the value of x = 3 in equation (i) we get, y = 32 - 4 ⨯ 3 + 7 [Using x = 3] or, y = 9 - 12 + 7 or, y = 16 - 12 or, y = 4 Thus the value of y is .....
Given, side of a cube = 6 cm When 5 cubes of side 6 cm are joined together we have, Length of the resulting solid (cuboid) = 5 × 6 cm .....
Here, p = 10 units and α = 135o. So, equation of st.line xcosα + ysinα = p or, x cos135o + ysin135o = 4 or, x [cos (180o - 45o)] + y [sin (180o - 45o)] = 4 or, x [-cos 45⁰] .....
We know that, x/a + y/b = 1 Now, 4/a + -1/b = 1 or, 4b - a = ab ............(i) [using the values of x and y] a = b + 3 ...................(ii) [Since Intercept on the x-axis exceeds the intercept on the y-axis by .....
The specialized agencies of UN are separate and autonomous organizations which work with the UN and each other through the coordinating mechanism of the Economic and Social Council of the UN. They are funded by both voluntary and assessed .....
Nepal has a long tradition of providing asylum to refugees. Our work in the country includes finding long-term solutions for refugees, such as assisting efforts to increase their self-reliance through greater access to livelihood opportunities, .....
Angel Falls is located on a tributary of the Rio Caroni. The falls are formed when the tributary stream falls from the top of .....
Here is an example. Please look it carefully and find your .....
To prove, Vector BD = Vector BA + Vector BC From the figure, Vector BD = Vector BA + Vector AD We know, Vector AD = Vector BC [ Opposite side of parallelogram is equal and both are in same direction ] So, Vector BD = Vector BA + Vector .....
Here, OA = (3, -1) OB = (7, -5) Position vector of mid-point of AB = (OA + OB)/2 = (3 + 7 , -1 -5)/2 .....
Chief District Officer is an administrative rank under Ministry of Home Affairs in Nepal who is appointed by the government as the highest administrative officer in a district. The responsibilities of Chief District Officer are as follows: - To .....
The provinces 1, 3, 4 and 7 are bordered with India and China .....
To pack more grey matter into the limited space inside the skull, animals with big brains, especially humans, the cerebral cortex is wrinkled. The grooves that make these wrinkles are called sulci and the ridges between them are called gyri. The .....
Here, the given point is (4, -3) Angle made by line with x-axis (θ) = 30⁰ Then, slope of line (m) = tanθ = tan30⁰ = 1/√3 We have the eqution of straight line, y - y1 = m(x - x1) or, y - (-3) = 1/√3 (x - 4) or, y .....
Let a be the x and b be the y-intercepts. Then point on X -axis is A(a, 0) & on Y-axis is B(0, b). According to question, line AB is divided by point P(2, 3) in the ratio 1:2. So, using section formula, x = ( m1x2 + m2x1)/ (m1+m2) .....
They rarely have any leisure, do .....
I could have a permanent job if I had been wiser (had been,were,was .....
Is this room being used .....
Traffic rules are road safety rules. Traffic rules are both the laws and the informal rules. They govern traffic and regulate vehicles. Traffic rules are set for our safety.
To avoid accidents, damage, disturbance to others, etc. we .....
coseca = seca or, 1 / sina = 1 / cosa [ coseca = 1 / sina & seca = 1 / cosa ] or, 1 = sina / cosa or, 1 = tana or, tana = 1 or, tana = tan45 .....
Under the rotation through -90 about origin, P( x,y ) = P'( y,-x ) A( 3,4 ) = A'( 4,-3 ) B( -2,1 ) = B'( 1,2 ) C( 4,2 ) = C'( 2,-4 ) Again, Under the reflection in x-axis, we get, P( x,y ) = P'( x,-y ) A'( 4,-3 ) = .....
Here, x - y = 0 x = y Under the reflection about the line x = y, we get, P( x,y ) = P'( y,x ) A( 2,4 ) = A'( 4,2 ) B( 4,3 ) = B'( 3,4 ) C( 3,-2 ) = C'( -2,3 ) Again, Under the positive quarter turn about the origin ( i.e. +90 ) P( .....
The Eastern Highland is Australia's most substantial mountain range. It is the third longest land-based range in the world. It stretches more than 3,500 kilometers (2,175 mi) from Dauan Island off the northeastern tip of Queensland. From the .....
Archipelago is a chain or cluster of islands that is formed tectonically. In other words, it is a tectonically formed group or cluster of large islands such as Aegean sea which contains a large number of scattered islands. The archipelago of Asia .....
- Due to the fertile land, the Terai region of Nepal is suitable for agricultural activities so, people migrate to the Terai region to carry out agricultural activities. - Due to the access to education, health service, security, etc. the .....
1. She eats fry onion. 2. Does Kunjan eat .....
High Court: There is a high court in each province. Each High Court consists of such number of judges, in addition to chief judges, as provided for in the federal law. The Chief Justice, on the recommendation of the Judicial Council, appoints .....
भोलिको म देवेन्द्रप्रसाद उप्रेती आज त म सानै छु भोलि ठूलो .....
Find the distance between AC and BD [ Distance of the diagonals are equal in square .....
LHS= 2 sinπc4-θ sin3πc4+θ = cosπc4-θ-3πc4+θ-cosπc4-θ+3πc4+θ ( 2 sinA sinB = cos ( A - B ) + cos ( A + B .....
The uses of glucose are: 1. Glucose is an important primary source for the brain cells. It is a source of energy for almost all the cells throughout the body. 2. Liquid glucose is an important form of glucose widely used as sweetener in food and .....
Landlocked countries of .....
Ethane - C2H6 Glycerol - C3H8O3 Ethly alcohol - C2H5OH Ethylene - C2H4 Butyne .....
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The name of this compund is .....
Here, we have given, f(x + 5) = 2x + 13 Now to find f(x), we need to replace x = x - 5 in both sides because we need to eliminate 5 from x + 5 then we will get f(x) only. i,e; f(x - 5 + 5) = 2(x - 5) + 13 or, f(x) = 2x + 3. Which is .....
Here, f = {(a, x), (b, y), (c, y)} g = {(x, 1), (y, 2), (z, 2)} Therefore, gof = {(a, 1), (b, 1), (c, .....
Here, to find TSA, we need the slant height of upper pyramid. So, slant height of upper pyramid = l = √[h2 + (a/2)2] = √[242 + (7)2] = 25cm Again, TSA of given solid = LSA of upper pyramid + LSA of lower .....