Let the three terms in AP be a - d, a & a + d. From the first case,       a - d + a + a + d = 24 or, a = 8  From the second case,       a - d + 1, a + 6 and a + d + 18 are in GP or, 9 - d, 14 .....

Let a be the first term and d be the common difference of an AP. Then,       t3 = - 40 or, a + 2d = - 40................(i)   [ Since, tn = a + (n - 1)d.] And ,        t13 = .....

Here, we have given;      A+B=45° Operating by cot,      cot(A+B)=cot45° or, (cotB+cotA)/(cotBcotA-1)=1 or, cotB+cotA=cotBcotA-1 or, cotB+cotA-cotBcotA+1=0 or, cotBcotA-cotB-cotA= .....

Can you check your question once? Question is not .....

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Here,  am = bn    And,  an = bm  This is possible only if a =b or m = n. Thus a = .....

We replace  p = 10x  & q = 10y and writing 100 = .....

Here,      tan9 . tan81 - cot9 . cot81 =  tan9 .  tan(90 - 9) - cot9 . cot(90 - 9) =   tan9 .  cot9  - cot9 . tan9  [ since, tan(90 - A) = cotA & cot(90 - A) = tanA.] = 1 - 1  .....

WHO is also responsible for coordinating with the national government for the implementation of Millenium Development Goal. WHO is also responsible for providing the safe maternity service to the new mothers and innoculation of the .....

Some of the important specialised UN agencies are: Food and Agriculture Organization (FAO) International Civil Aviation Organization (ICAO) International Fund for Agricultural Development (IFAD) International Labour Organization .....

The present Constitution of Nepal 2072 is the outcome of people's representatives who were elected throught election. They are responsible and answerable to the electorate of their respective constituencies. There is check and balance of power .....

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Here,  Center = (h,k) = (-4,3) We have given two equations of line, x + y + 2 = 0.........................(i)  & x - 3y = 2  ⟹x = 3y + 2................(ii)  Now solve (i) & (ii) 3y + 2 + y + 2 = 0 Find .....

Here,  Radius = r = 3 units. We have given two equations of line, 2x - y   = 5 or, y = 2x - 5 .........................(i)  & x + y = 7...............(ii)  Now solve (i) & (ii) x + 2x - 5  = 7 Find .....

Here,  We have given equation of circle is x2 + y2 - 4x - 4y - 8 = 0 Compare this with x2 + y2 + 2gx + 2fy + c = 0, we get  g = - 2 & f = - 2. So, centre = (h,k) = (-g, -f) =(2, 2) Now find the distance between .....

Here,  P( -4, 5) -------------reflection x =y ----------> P'(7, -4) Again,  P'(7, - 4)------------rotation +90o ------------->P"(4, .....

Reji, in democratic governance system, the elected representatives of the people will govern the country. They work for the betterment of the country and its people. Can you add some few points? Give a try, you are better than .....

Efficiency is increased if you increased the slope or angle of the inclined plane. And it is maximum at 90o .....

Here,  (√24)-1 = (22)-1       [Since, √24 = 22.] = 1/22           [ Since, x-m = 1/xm.] = .....

Here,  Total cost price of bike  = Rs.50000 + Rs.5000 = Rs.55000 SP = Rs.60000 Here, SP > CP So, Gain = SP - CP = 60000 - 55000 = Rs.5000 Finally,  Gain % = Gain / CP ⨯ 100%            .....

आदरणीय सभाध्यक्ष, अतिथिहरू, सम्मानित गुरुहरू, निर्णायक मण्डल एवम् मेरा प्यारा .....

Ram Shah ruled in Nepal from 1666 to 1693 B.S. He was the son of Gorkhali King Purandha Shah. After the death of Purandhar Shah, his son Chakra Shah had became the king of Gorkha but he reigned only for seven months. Because his early death and .....

The growth in the population in most of the cases will have a negative impact on the development of the society. However, when the population growth in the community is managed it will provide the community with the fresh human resources that may .....

Ram   : Oh hi! Where are you going, Gopal? Gopal : Oh hi. I am go to the folk songs competition. And, What about you? Ram    : I have no plan for today. But, why listen to the folk songs when there are many other .....

Here, in triangle PSM,  PM = PS + SM ........................(i) In triangle RNQ,  NR = NQ + QR = SM + PS = PS + SM ...............(ii)                [ Since, QR = PS and NQ = SM is given.] From .....

Here join A & C. Then AC is diameter of circle.       [ Since, angle B is 90o , angle of rectangle.] So, A(1,1) = (x1, y1)  & C(9,7) = (x2, y2) Thus, equation of circle is  (x - x1) (x - x2) + (y - y1) .....

Let AB be the height of tower = 96ft. x & y are the angle of depression, of two vehicles on a road  at the same level as the base of the tower and on the same side of it. Then, CD= ? In triangle rt.angled ∆ABC,   .....

Let AB be the height of tower. C & D are the point of observation. So, CD= 48m. In triangle BAD,  SinD = 3/√34  ⟹ ∡D = Sin-1(3/√34) = 31o So, tan31 = AB / BD or, 3(BC + 48) = 5AB or, BC = 5AB/3 - .....

Here,  LHS  = 2cos13πc/26.cos7πc/26 + cos8πc/13 + cos5πc/13           = 2cos13πc/26.cos7πc/26 + (cos8πc/13 + cos5πc/13)           = .....

Here,  LHS  = 2cos12πc/13.cos4πc/13 - cos10πc/13 - cos8πc/13           = cos(12πc/13 + 4πc/13) + cos(12πc/13 - 4πc/13)- cos10πc/13 .....

Here,  1.△ABC = △ACF             [ On same base AC & between same //s AC & BF.] 2.△ADE = △ADG             [ On same base AD & between same //s .....

Here, Center of circle is (h, k) = (0,0) Another point in circumferenceis (2, -3 We know, Radius is the distance between center to a point in circumference. Therefore, radius(r) =   √[(0 - 2)2 + (0 + 3)2] .....

Here, join A&C. Then, AC is a diameter, since ∡ B and D are 90o as angles of rectangle. Now, take two triangles AXC & ACD.  Show them congruent by RHS axiom. Then write the .....

Here,  1. ∡AFB = ∡ACB              [ Angle on same arc AB.] 2. ∡ GED = ∡ ACB           [ Opposite ext.angle of cyclic qd.CDEG.] 3. ∡ GDE .....

Here,  1. ∡B = ∡AC B      [ Since, AB = AC.] 2. ∡BAC + ∡ B + ∡ ACB = 180o   [ Angles of a triangle.] 3. ∡B = 90 - ∡BAC/2            [ From 1 & .....

We know that society is a group of people living together for mutual benefits. Ther are different types of societies on the basis of subsistence strategy or mode of life. They are: i)    Hunting and Gathering Society ii)  .....

Economic Sustainability Similar to environmental sustainability, economic sustainability involves creating economic value out of whatever project or decision you are undertaking. Economic sustainability means that decisions are made in the most .....

If you really want to score 4.0 GPA in SEE examination, first you need to study hard. You need to orgranise yourself and manage your time properly between you and others. You also need to ask and interact with your teachers, seniors and the .....

The inverse of the matrix cannot be defined when its determinant is equal to 0. For matrix, A = [a b]         c  d  If, ad - cb = 0, then inverse is not .....

Let, x be the cost price of an article. Now, for first condition, SP = CP + P or, 260 = x + P ............. 1.. Again, for second condition, SP = CP - L or, 200 = x - 50 % of P  or, 200 = x - P/2 or, 400 = 2x - P pr, P = 2x - 400 Now, .....

We need to prove the points (1,2),(2, 3) and(3,4) are collinear. A=(1, 2) B=(2, 3) C=(3, 4) Let The points B divides AC in the ratio of k:1.   Then the coordinates of B will be, (3k+1/k+1,4k+2/k+1) Coordinates of B are (2, 3) Comparing we .....

We have,  tan45 = 1 or, tan(36 + 9) = 1 or, [ tan36 + tan9] / [ 1 - tan9.tan36] = 1 or, [ tan36 + tan9] = [ 1 - tan9.tan36]  So, tan36 + tan9 + tan9.tan36 = .....

Going from one country to another country for job and to earn money is what we call foreign employment. You might have studied that people of Nepal go to different countries of the world for jobs and earning. I agree that it uplifts the life .....

The brain stem connects the brain with the spinal cord. It controls hunger and thirst and some of the most basic body functions, such as body temperature, blood pressure, and .....

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You might have heard about Maoist insurgency in Nepal. It was started in 2052 BS. The Maoists raising certain agenda against the government of Nepal had started this insurgency. It is also known as civil war. It continued for a .....

Study the features of the present constitution of Nepal for your better understanding. The features of the constitution of Nepal are as follows: - There is the provision of separation of power among the state organs. - There is the provision .....

Well, there should be a good relationship between a government and the people in the country. Every citizen should be responsible to fulfil their duties assigned by the state. You know the betterment of the government means the betterment of .....

We know that following law and order helps to maintain peace and security in the country. It further helps to maintain social harmony which helps to strengthen national integrity. So, a government is always seeking for maintaining law and order .....

Human organ trafficking has many negative consequences. They are: - It violates the rights of humans. - The poor people may sell their organs in the hope of earning money which damages their life. - It creates the threat to the health of the .....