Students and Teachers Forum
Here, Magnitude of vector a = √(x2 + 42) or, 5 = √(x2 + 42). or, 25 = x2 + 16 or, x2 = 9 or, x = -3 or .....
Here, Vector AB = Vector OB - vector OA = (2, 4) - (-3, -1) = (2 + 3, 4 + 1) .....
Here, Vector a + 2 vector b = (2, 4) + 2(3, 4) = (2, 4) + (6, 8)= (2 + 6, 4 + 8) = (8, 12) Now, magnitude = √{82 + 122} = √208 = 4√13 .....
Here, 2Vector a + vector b = 2(2, 3) + (4, 0) =(4, 6) + (4, 0) (4 + 4, 6 + 0) = (8, 6) Now, magnitude = √{82 + 62} = √100 = 10 .....
Here, Vector a + vector b = (1, 2) + (2, 3) = (1 + 2, 2 + 3) = (3, 5) Now, magnitude = √{32 + 52} = √34 .....
Mr. Dinesh B.K., who is a student of Bageshowri school, got lost in the jungle on his way to school early this morning. He was travelling along through jungle to School. Later that night, he was rescued by a cowboy who handed the boy to his parents .....
दिइएको वादविवादलाई मिलाएर आफ्नै शैलीमा सिर्जनात्मक उत्तर लेख्नुहोस् है त .....
Here, Vector AB = Vector OB - Vector OA = (4, 5) - (3, 2) = (4 - 3, 5 - 2) .....
Here, Vector PQ = Vector OQ - Vector OP = (1, 4) - (3, 7) = (1 - 3, 4 - 7) .....
Here, Vector AB = Vector OB - Vector OA = (7, 8) - (2, 4) = (7 - 2, 8 - 4) .....
Here, Vector PQ = Vector OQ - Vector OP = (3, -1) - (-2, -5) = (3 + 2, -1 + 5) .....
Here, we have given, vector PQ = vector RS or, vector OQ - vector OP = Vecor OS - vector OR or, vector OS = (-2, 4) - (-3, 2) + (0, -2) = ( - 2 + 3 + .....
Here, we have given, vector AB = vector CD or, vector OB - vector OA = Vecor OD - vector OC or, vector OD = (6, 3) - (2, 4) + (-3, 5) = (6 - 2 - 3, 3 - 4 + .....
Here, Vector CD = Vector OD - Vector OC = (1, -3) - (p, 2) = (1 - p, -3 - 2) .....
A pacemaker is a small device that's placed in the chest or abdomen to help control abnormal heart rhythms. This device uses electrical pulses to prompt the heart to beat at a normal rate. Pacemakers are used to treat arrhythmias. Arrhythmias .....
We have given, sinA + cosA = 1 Squaring both sides we get, (sinA + cosA)2 = 1 or, sin2A + 2sinA cosA + cos2A = 1 or, 1 + 2 sinA cosA = 1 [ Since, sin2A + cos2A = .....
The Rana rulers were not only the dictators but also the agents of reformation. The slavery system in the society had been discouraged by many rulers like Bhimsen Thapa, Jung Bahadur and Bir Shamsher. Later Chandra Shumsher abolished slavery and .....
1. The above problem related to the " Effect of lack of clear policy in Human Resource Development". 2. The two alternatives to solve the problems are: i. Creation of employment opportunities in country. .....
A credit card may be defined as a financial instrument that is used to borrow funds with which to pay for goods and services. Some of the challenges of using credit card are: one can not expect illiterate person to use credit card proper .....
1. Highest Common Factor (HCF): The largest or greatest factor common to any two or more given natural numbers is called as HCF of given numbers. Also .....
Social security is the protection that the family provides. It is also the security that the individual gets from the community and .....
Now, CosA = 5/13 So, sinA = √{1 - cos2A} = √{1 - (5/13)2} = 12/13. (i) CosecA + cotA = .....
Given, tanA + secA = 3
or, ,sinA/cosA + 1/cosA =3
or, sinA + 1= 3cosA
Squaring on both sides,
or, 1+(sinA)2 +2sinA =9(cosA)2
or, 1+ sin2A +2sinA =9(1-sin2A)
or, , 10sin2A+2sinA-8=0
or, .....
1. The Mesozoic era was dominated by dinosaurs. The Mesozoic was a time of significant tectonic, climate, and evolutionary activity 2. The Cenozoic era started with the extinction of the dinosaurs, .....
1. In the vegetative propagation methods is that the new plants contain the genetic material of only one parent, so they are essentially clones of the parent plant. 2. With vegetative propagation, plants also bypass the immature seedling phase .....
The zodiac is an area of the sky that extends approximately 8° north or south of the ecliptic, the apparent path of the Sun across the celestial sphere over the course of the year. The paths of the Moon and visible planets are also .....
Nepal is a developing country having rich socio-cultural and natural resources. It has an immensely diverse and attractive topography, varied climate and mix of people that combine to produce a magical attraction. It has unique and diverse ethnic .....
Let r be the radius and A(h, k) be the centre of the circle. Here, diameter = 6 - (-2) = 8 units So, radius (r) = 8/2 = 4. Since, circle touches the y-axis, so r = h = 4 Now, AP = r or, (8 - h)2 + (2 - k)2 = r2 or, (8 - .....
During the unification campaign, Nepal lost the war against the East India Company and was forced to concede many disputed areas to the company. The treaty between Nepal and British India company is known as the Sugauli Treaty. The treaty was .....
Bheja is a typical practice of Nepali society, especially in Magar community. It refers to the collection of money, goods, etc. from each house and organization for carrying out some sorts of religious functions. That is why Bheja is a social and .....
Prince Bahadur Shah was the younger son of King Prithvi Narayan Shah (1723–1775) of modern Nepal. He accompanied his father King Prithvi Narayan Shah on battlefields and in negotiations. Unike his brother Pratap Singh Shah (r. .....
Here, The slope of ON is m1 = (y2 - y1)/(x2 - x1) = (0 - 1)/(3 + 1) = -1/4. Let m2 be the slope of MD, then m1.m2 = - 1 or, m2 = .....
The carbamates are a group of insecticides that includes such compounds as carbamyl, methomyl, and carbofuran. They are rapidly detoxified and eliminated from animal tissues. Their toxicity is thought to arise from a mechanism somewhat similar to .....
There are several contributing factors as to why cement manufacture is growing. In the past, even though the demand for cement was low, it was slowly increasing. So investors set up grinding plants based on the Indian clinker .....
A reaction between an acid and base is called neutralization. Our stomach contains hydrochloric acid, and too much of this causes indigestion. Antacid tablets contain bases such as magnesium hydroxide and magnesium carbonate to neutralize the .....
Here, CA at the end of 2 years = P(1 + R/100)T = 10000( 1 + 10/100)2 .....
Venus is often named as Earth's twin because both worlds share a (i) similar size, (ii) surface composition and (iii) have an atmosphere with a complex weather .....
It has the lowest sp.heat capacity and sp.heat capacity is inversely proportional to the density. i.e; sample Z has the highest density among these 3 .....
This type of ray-diagram is followed by the camera. This is the uses of the lens as well as ray .....
Here, from the given point (4,4) find the value of a, by putting x = 4 and y = 4. i.e; y2 = ax or, 42 = a.4 or, a = 4. Putting a = 4, the equation becomes y2 = 4x..................(i) To prove (16,8) is another point, put .....
Let P(x, y) be the moving point. According to the question, AC2 = AP2 + BP2 or, (m + m)2 = (x + m)2 + (y - 0)2 + (x - m)2 + (y - 0)2 or, (2m)2 = x2 + 2mx + m2 + y2 + .....
Let the x-intercepts be a and y be b. Then, Area of triangle = 1/2 x a x b or, 12 = 1/2 x a x b or, b = 24/a.......................(i). Again equation of the line .....
Here, By using mid-point formula we get the coordinates of P & Q. Find the area of triangle ABC and qud.BPQC. Then to compare them find the ratio of these two .....
Here, Coordinates of A is (4, 2) & B is (1, 8). Equations of OP & OQ = ? For the trsection, AP:PB = m1:m2 = 1: 2. So, coordinate of P is P(x, y) = {(m1x2 + m2x1)/(m1 + m2), (m1y2 + m2y1)/(m1 + .....
Let the given points are A(k, 2 - 2k), B(-k + 1, 2k) and C(-4 - k, 6 - 2k). Since the given points are collinear. So, Slope of AB = Slope of BC. or, (2k - 2 + .....
Folk music is the song and the music that uses traditional local tunes and are sung in accordance with the place, culture, race, etc. They are the symbol of national unity among the various community living in the country. Different communities .....
An economic indicator may be defined as the statistical figure that highlights the current economic standard of the particular nation or of the particular area. Economic indicators allow analysis of economic performance and predictions of future .....
Revolution is the movement of the Earth around the .....
10th July 2018 Thapathali, Kathmandu Dear Jack I received your letter yesterday dated 4th June. Reading the letter, I came to know that you are fine there. You are quite busy in .....