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Rationalise the denominator with √x + √a and solve .....

We can write the numerator 2x-1 as (√2x + 1)(√2x - 1). i.e. (√2x + 1)(√2x - 1) ∕ (√2x + 1) = 1 or,  √2x - 1 = 1 or, √2x = 2 Squaring both sides, we get, or, [√2x ]2 = .....

Inclusiveness is an act of including marginalized, underprivileged and minorities in the mainstream of government for their overall growth. The term inclusiveness is an approach to mainstream in the governance system. In other .....

You have already found that angle AOD = 60o now , angle ACD is half of angle AOD because ACD is inscribed angle. So , angle ACD = .....

The term good governance refers to the processes for making and implementing good decisions. It’s not about making ‘correct’ decisions, but about the best possible process for making those decisions. Good governance is an .....

First, let me talk about good governance. Well, the term good governance refers to the processes for making and implementing good decisions. It’s not about making ‘correct’ decisions, but about the best possible process for .....

Study the following figure that presents the elements of good .....

The constitution of Nepal 2072 divided Nepal in seven different provinces. With the total area of 27,984 km² Karnali province (province 6) is the largest while province 2 is the smallest having the area of 9,661 .....

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Here,  2x - 3y  = 7 ........... (i)  And, 4y - 3x + 10 = 0 or,    3x - 4y = 10  ........... (ii) Writing these equations in matrix form,   2-33 -4xy = 710.........(iii) let,  2-33-4 = A, xy = .....

Out of 600 men, 100 men left the garrison. So, No.of remaining men = 600 - 100 = 500    Men  600  500  Days   50  x ( let) Since, days and men are in indirect .....

Here, from A/3 you have to find A. Use formula,                          SinA=3sinA/3- 4sin3A/3 Put value of SinA/3 = 3/5   SinA=3(3/5)- 4(3/5)3 Simplify and find .....

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 = .....

Here,  (px qy)z = 100 or, [(10x)y . (10y)x]z = 102         [ Since, p = 10x  & q = 10y.] or, 102xyz = 102 Now equate the powers and find .....

The federal executive of the nation of is the chief administrator usually under the leadership of the prime minister who commands a simple majority in the lower house of the federal .....

Please post the .....

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  .....

The World Health Organization (WHO) is the body of the United Nations (UN) responsible for directing and coordinating health. WHO plays a vital role as an actor in the field of international public health and international public health .....

UN specialized agencies are international organizations that coordinate their work with the United Nations through negotiated agreements. The specialized agencies are legally independent of the United Nations and have separate budgets, members, .....

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 + y 2 + 2gx + 2fy + c = 0, we get  g = - 2 & f = - 2. So, centre = (h,k) = (-g, -f) =(2, 2) Now find the distance .....

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

The democratic system of governance may be regarded as the best function for the following reasons: the government is responsible and answerable to the people the government function as per the wish of the people there is the check and balance .....

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,  a + b = 7  or, b = 7 - a ...........................(i) And,  ab = 10 or, a( 7 - a) = 10              [ from (i), b = 7 - a.] or 7a - a2 = 10  or, a2 - 7a + 10 = 0 Now .....

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 .....