Let the first term be 'a' and common difference be 'd'. So, a + 5d = 19.......(i) a + 16d = 41 .....(ii) Subtracting (i) from (ii), 11d = 22 Thefore, d = 2. Substituting the value of d in equation (i), a + 10 = 19. Therefore, .....

Let 'a-d', 'a','a + d' be three terms in AP. So, (a - d) + a ( a+ d) = 72.........(i) or, 3a = 72 Therefore, a = 24. And, (a - d)(a) = 480......(ii) So, (24 - d)(24) = 480 or, 24 - d = 20 Therefore, d = 4. So, the .....

Since these numbers are in Arithmetic Progression,  Difference between two consequite terms are equal. So, 2nd term - 1st term = 3rd term - 2nd term or, (d + 1) - ( 3d - 1) = ( d + 3) - ( d + 1) or, -2d + 2 = 2 or, Therefore, d = .....

And the places where we experience the above-mentioned conditions are peace zones. Hence, if there is peace in our society, we can run our daily works properly. Development of our society is possible when people experience peace. Mutual .....

We know, equation of circle touching both axes is: ( x - a)2 + ( y - a)2 = a2 ..........(i) Where, (a, a) is the center of the circle and a is the radius of the circle. Since, The circle passes through ( 4, 2),  substituting in equation .....

नेपालका प्राकृतिक, धार्मिक तथा सांस्कृतिक सम्पदाहरु विश्वसम्पदा सुचिमा सुचिकृत गरिनुका .....

मध्यपहाडी  लोकमार्गको महत्वालाई निम्न वुदामा उल्लेख गरिन्छ:  - मध्यपहाडि लोकमार्गले .....

Given,          Radius of wheel of a bicycle  (r) = 28 cm.         We know,         Circumference of a circle = 2πr         So, circumference of wheel of .....

We know, The perpendicular distance drawn from a point (x1,y1) to the line Ax + By + C = 0 is given by, d          =         ∣Ax1+By1+C∣​               .....

Pencil can be used to writing in space. However, it is said that there are many threats in using pencil in space. That is why; astronauts use astronaut pen instead of using .....

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One kWh is the amount of energy used by a 1kW (1000 watt) electric device for .....

We can step the voltage down from a high voltage to a smaller one or we can step it up. The principles are the same. A transformer has two coils - a primary coil and asecondary coil. An alternating current flows in the .....

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A transformer is a device used to convert low a.c. voltage into high a.c. voltage and vice versa. It consists of two coils: Primary coil and secondary coil. The voltage of alternating current supplied to the secondary coil of a transformer is .....

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The electricity produced due to the flow of charge is called current .....

Here cost price of Bishnu = SP x 100/ [ 100 + P%]                                            = 48400 x 100 [ 100+ 10]     .....

यसप्रकारको सरकारमा, राज्य र नागरीक विचको संबन्धको किटानि गरीएको हुन्छ। हाम्रो देशको .....

उदाहरणको लागि, नेपालको संविधान, २०७२ पनि लोक सम्मतिकै उपजहो। यस संविधानले नेपालि जनताको .....

   Cos 150∘ + Sin 120∘ + Sin2 150∘ + Cos2120∘ = Cos (180 - 30)∘ + Sin (180 - 60)∘ + {Sin (180 - 30)∘}2 + {Cos (180 - 60)∘}2 = - Cos 30∘ + Sin 60∘ + Sin2 30 + (-Cos .....

नेपाली भाषामा ह्र्स्व र दीर्घ गरी दुई प्रकारका अक्षर छ्न् । ह्रस्व र दीर्घलाई अर्को शब्दमा .....

When do we use the present perfect continuous? Present perfect continous is used to express an action that has recently stopped or is still going on.  It focuses the duration of the action.  How do we make the present perfect .....

Hydrogen gas is manufactured in a laboratory  by the action of acids on metals. Dilute sulphuric acid containing 1 volume of concentrated acid to 5 volumes of water, or dilute hydrochloric acid containing 1 volume of concentrated acid to 4 .....

The dissociation of ammonia gas into nitrogen and hydrogen takes place at a temperature of 920°C in the presence of a special nickel catalyst in an electrically heated furnace. Generating such high temperature is difficult in a normal .....

 Daniel Rutherford discovered nitrogen gas.  He named it as noxious air or phlogisticated air.  Because he believed that this gas was given out by the mouse while breathing.  Today we call the same gas .....

Azote means .....

Test of presence of nitrogen gas can be tested by inserting the burning piece of magnesium into a jar of gas.If the residual ash is moistened with a few drops of water it will give the smell of annomia.  Ammonia contains nitrogen. This .....

वाक्यमा आउने कर्ताले प्रेरित गरेर कुनै काम  गरिन्छ भने त्यो प्रेरणार्थ वाक्य हुन्छ । यसमा .....

cos2 A - sin2 B + sin2 C = 1 - 2sinA.sinB.cosC We have given, A + B + C = 180 A + B  = 180 - C cos (A + B ) = cos (180 - C) cos (A + B ) = - cos C Now,  from L.H.S. cos2 A - sin2 B + sin2 C =  (cos2A .....

Here, Number of students = 500 Average annual fee of a student = Rs. 14,400. So, annual fee of 500 students   = Rs. 14,400 x 500                               .....

Here, thickness of a small block is 10 cm.  i.e. The length of a small block (l) = 10 cm Now, the volume of a small block (v) = l3                                 .....

Themes of the poem can be interpreted in your own ways.  Individualism : The speaker chooses to go his own way, taking the “road less traveled" Caution : The speaker takes time to consider other road before deciding to take .....