We have given ABCD is a square. i.e; AB = BC = CD = DA  and < C = 90o So in right angle triangle BCD, BD2 = BC 2+ CD2     [ using h2 = p2 + b2] now put BC = AB  and CD = AB  and simplify to get .....

To prove it we can use pythagoras theorem. So, in right angled trianglePRX,    RX2 =  RP2  + PX2           [ using  h2 = p2 + b2  ] or,   RX2 - .....

To prove it we can use pythagoras theorem. So, in right angled trianglePQS,    PQ2 =  QS2  + PS2           [ using  h2 = p2 + b2  ] or,   PQ2 - PS2 = .....

Cloud theory, sometimes called nebula theory, is a model of the early solar system that describes the formation of the Sun and planets.  In this model, the solar system formed out of a cloud of dust in a protoplanetary nebula known as a .....

First find the value of 'RP' by using Pythagoras theorem in Right angled triangle PSR as (RP)2 = (25)2 + (20)2 After finding the value of 'RP' use the Pythagoras theorem in the Right angled triangle PQR to find the value of .....

j.rang k. had already started l.had .....

If inclination  ( θ ) is given  Slope = m = tan θ If two points ( x1 , y1)  & ( x2 , y2)   are guven , Slope = m= ( y2 - y1 ) / (x2 - .....

Understand the axes of the coordinate plane. When you're graphing a point on the coordinate plane, you will graph it in (x, y) form. Here is what you'll need to know: The x-axis goes left and right, the second coordinate is on the .....

Please try the factorization by synthetic division method. If any number gives zero as a remainder,  then the number is a factor of the given .....

To find  x-  and y-components, we can let them be x  and  y respectively. So, magnitude of  vector a = 5√3 or , x2 + y2 = (  5√3)2 or,  x2 + y2 =   .....

You have to factorize this expression. For that, you can use synthetic division method. Synthetic division is a method to find a factor of given .....

You are correct up to here. Now   x + 2 is factor of . so compare x +2   with x - a we get a =-2 by factor theorem, f(-2) =0    [ replace x = -2 and get another  equation] Solve these two equations and find a .....

Here we have given <A = 900 and AB= AC. So < B = <C =450 SInce line BC is // to x-axis. So, slope = tan0 =  0 Slope of AB = tan45= 1 Similarly get for .....

Here we have given two cases and need to calculate a  and  b. Let f ( x ) = 2x3 + ax2 -11x + b When it is divided by   x - 2 it gives remainder  0, so compare x - 2  with x - a we get a = 2 by remainder .....

Here x2 - 1 = x2 - 12  =  ( x + 1)  ( x - 1) . Thus,  ( x + 1)  ( x - 1)are the factor of f (x) , So compare x - 1  with x - a we get a = 1 By factor theorem, f(1) =0  .....

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Do you know what sanitation is? Sanitation means maintenance of  hygiene and being free from disease. Sanitation means proper disposal of waste products. If the waste from different medium are not properly disposed, it will brings lots of .....

Take triangle ABC, BC2 = AB2 + AC2 or, BC2 - AB2  =AC2 ..................i) Take triangle  ADC,  DC 2 + AC2= AD2 or, AC2 = DC2 - AD2......................ii) Equate these two equations and get .....

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Write the question clearly, so that will get .....

India is 22 times bigger than Nepal.  Nepal is approximately 147,181 sq km, while India is approximately 3,287,263 sq km.  China is about 65 times bigger than Nepal.   China is approximately 9,596,960 sq .....

Forest fire  Forest fire can be caused in two ways: a. naturally caused : ignited by heat from the sun or a lightning strike.  b. human caused : Campfires, Discarding lit cigarettes, playing with matchsticks or .....

You can read the above poem and try to take an idea from it and create your own poem by using your .....

Firstly, Calculate 13 % of Rs. 13000 13% of Rs. 13000 = 13/100 x 13000                               = Rs. 1690 Now add Rs 1690  to 13000  Which will be equal .....

 दसैंका बारेमा शुभकामना यसरी लेख्न सक्नुहुन्छ :  हिन्दूहरुको महान् चाड विजया दसमी .....

You may know that pressure is related with temperature. At high altitude the temperature is low. Due to low temperature, the molecules of the gas are present in small amount(i,e far from each other ) at high altitude as shown in the .....

प्रश्न बुझिएन कृपया बुझ्नेगरी लेख्नुहोस न .....

Nepal is still an agro based economy. The 65% of the total population still depends upon the agriculture. Agriculture still contributes 31% to GDP. You may increase the trade surplus by diversifying the trade with the foreign Nations. You may .....

To find the total cost we need to find the area of wall and ceiling with out door and windows. So , area of  wall and ceiling with out door and windows = Area of 4 walls + area of ceiling  - area of 2 windows - area of a     .....

Word equations only tell us what the reactants and the products are, whereas symbol equations tell us which and how much of each element is present in the chemicals (their names may not always reflect .....

Is it clear .....

For first condition,  discount = 20% and  profit = 20% You may have learnt that discount is allowed in marked price to obtain selling price, i.e. selling price = marked price - discount percent of marked price With this you can .....

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You may know that the International Date Line (IDL) is an imaginary line of navigation on the surface of the Earth. It runs from the North Pole to the South Pole and demarcates the change of one calendar day to the next. It passes through the .....

यहाँ मैले सजिलोको लागि १,२ भनेर नम्बर दिएर ग¥या छु ल नबुजे भन्नुहोस है ल  जस्तै,  शब्द   .....

We have given the value of an article   P = Rs. 36,000. If it is depreciated by Rs. 6840 in 2 years, So price after 2 yrs = Pt = 36000 - 6840 = 29260 time = T = 2 yrs. If R be the rate, Then use formula; Pt = P ( 1 - R / .....

In algebra, it is rarely possible to guess the numerical solution to a problem, and because there are an infinite number of numbers it is obvious that one cannot try all possible solutions in order to find one that solves the problem. But in .....

It only exist in .....

 देवकोटाले बाल्यकालमा नै अमरकोश घोकेका थिए र स्तोत्रमाला पढेका थिए ।  उनी सानैदेखि आफ्ना .....

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   शब्द     अर्थ  कक्कड = तमाखु वा सुर्तीको धूलो  टन्टलापूर = चर्का घाम बुज्रुक = जान्ने .....

Since the helicopter is also sitting on the ground, it's also inside this moving reference frame, and has the momentum that goes with it so the helicopter is also moving at one revolution per day. In fact, so is the air! Now, when the .....

Sum of angles of a quadrilateral is 360o, from this find a. Then a + x =  360o, besause they form a complete turn. So, x = 360 - .....

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We have given perpendicular distance =  p = 4 units Angle = α = 60o Now equation is                 x cosα  + ysinα  = p or,  x cos 60o + y sin .....

Have you played with dice? How many faces are there? Of coures, 6 faces with numbered { 1 , 2 , 3 , 4 , 5 , 6 } No. of face with 3 = 1 No.of faces with even numbers = 3 Since they are independent events,   So, probability getting 3 from .....

To find the ratio, we need to find the volume of both the solid spheres.   So, Volume of frist sphare with radius  x  =  4/3 π x3 total volume  = V1= 64 X 4/3 π x3 Volume of sphere with radius y = .....

To find the slope ( m) and y-intercept ( c) we need to reduce the given equation in to y =  mx + c. Here, √3/2 y = x -1 or,  √3 y = 2x - 2  or y = [2x - 2] / √3        = 2/√3 .....

You might have seen rivers, lake, oceans, seas, trees,rocks, mountains etc. All these are natural resoures.   Above figures are the figure for different natural resources. They are present in the nature by themselves. Thus, .....