Here, Two triangles ABC & CDE are simillar  [ ∡A = ∡E, ∡B = ∡ D  alternate angles & ∡ACB = ∡ DCE, VOA] As we know, ratios of corresponding sides of similar triangles are equal. So, AB/ DE = .....

Sex means different things to different people. Sex is a process in which all living being do to produce their own kinds. And sex is also a process of  defining a genders of a living being, i.e. male or .....

Pascaline is also called Arithmetic Machine. It is the first calculator or adding machine to be produced in any quantity and actually used. The Pascaline was designed and built by the French mathematician-philosopher Blaise Pascal.  It could .....

Here we have given the passing point of required line is ( 2,3)= ( x 1, y1) Since this line is perpendicular to the line joining the points, ( -1, 1) and ( 2, 6) So slope of this line =  m1 = [ y2 - y1 ] / [ .....

The modern education system was started after the establishment of Durbar High School at Thapathali in Kathmandu. During this time, education was extended only to the social elite. Schooling for the general people began only after 1951 .....

The term economic prosperity refers to the flourishing, thriving, good fortune or successful economic condition. It is important for a nation because economic prosperity is considered a backbone to the development of a nation. We know that .....

Similarly, it focuses on enabling 100 million young people to be active citizens creating positive change in their communities and in the world based on shared values. The aim of Scouting is to encourage the physical, intellectual, social, and .....

History is a connection or series of past events particularly related to human affairs. The period before now is a past. And, the activities that happened in the past are somehow connected. And, further, they hold great meaning for us as that is .....

Scouting provides young people with opportunities to participate in programmes, events, activities and projects that contribute to their growth as active citizens. Through these initiatives, young people become agents of positive change who inspire .....

Did you mean,      x - 4 = √(x + 2) Or, (x - 4)2 =  √(x + 2)2           [ Squaring on both sides.] Or, x2 - 8x + 16 = x + 2         [ .....

Here, In ∆ABC, thé sides BC = a = 16 cm, AB = c  = ? and ∡B = 300. Area of ∆ABC = 44cm2 We know,  Area of ∆ABC = 1/2 ac sinB              44cm2 = 1/2 ⨯ 16cm ⨯ .....

Here, In ∆ABC, thé sides a = 4 cm, b = 6 cm and ∡C = 600. We need to find the area of ∆ABC. We know,  Area of ∆ABC = 1/2 ab sinC                       .....

Here, In ∆ABC, thé sides p = 12cm, r = 15 cm and ∡Q = 650. We need to find the area of ∆PQR. We know,  Area of ∆PQR = 1/2 ⨯ pr sinQ                     .....

Here, A = 4x + 1/4x Now, A + 1/A = 4x + 1/4x + 1/(4x + 1/4x)               = (16x2 + 1) /4x + 4x / ( 16x2 + 1) Now Take LCM & .....

Here, A = x - 1/x Now,  A + 1/A = ( x - 1/x) + 1/(x - 1/x)                = (x - 1) / x + x / ( x2 - 1)     [ Taking LCM.]               = .....

Here,        1/ [ x 2 - 9 x + 20] +   1 /[x 2 - 11 x + 30 ] Now factorize the denomenetor by mid-term factorization you will get =     1/ [ x 2 - 9 x + 20] +   1 /[x 2 - 11 x + .....

Here, 3/(x2 - 4) + 1/(x - 2)2    = 3/(x2 - 22) + 1/(x - 2)2    = 3/(x+2)(x - 2) + 1/(x - 2)(x -2) Taking LCM, =   .....

Here,     1 / (2 x - 3 y)  -  (x + y) /(4 x 2 - 9 y 2) =      1 / (2 x - 3 y)  -  (x + y) /[(2x) 2 - (3 y) 2] =   1 / (2 x - 3 y)  .....

Here, (a - b)/a b + ( b - c ) / b c + ( c - a)/ c a     Taking LCM = abc,  we get    = [c(a - b) + a( b - c )  + b( c - a)]/ abc     Now open bracket,     = [ ca - .....

Here,     ( 1 - 1/p) [1 - 1/(p - 1)] [1+ 2/(p - 2)]  Taking LCM in denomenetor of each terms, = (p - 1)/p ⨯ ( p - 1 -1) / p ⨯ ( p -2 +2) / p =  (p - 1)/p ⨯ ( p - 2) / (p - 1)⨯ ( p) / (p - .....

Here, : ( a - b)/( a + b)  - ( a + b)/( a - b) +   2 a b /(a 2 - b 2 ) Taking first two expression, = [( a - b)/( a + b)  - ( a + b)/( a - b)] +   2 a b /(a 2 - b 2 ) = [( a - .....

Here,       x 2 /y (x - y) +       y 2 /x (y - x) To make denomenetor of both expression same , take - common from second, we get  x 2 /y (x - y)  -   y .....

Here,     81 m 2 /(9 m - 7 n) +    49 n 2 /(7 n - 9 m ) To make denomenetor of both expression same , take - common from second, we get  =   81 m 2 /(9 m - 7 n) -     49 n .....

Here,  HCF and LCM of two expressions are x (x + a) and 12x2(x + a) (x2 - a2) respectively. 1st expression =  4x(x + a)2,  We need to find second expression.  We know,      .....

अचानाको पिर खुकुरीले जान्दैनः अचानाको पिर खुकुरीले जान्दैन भने झैँ किसानलाई बाली उत्पादन .....

रामराज्य हुनुः सबै व्यक्ति आदर्श हुने हो भने संसार नै रामराज्य बन्ने थियो । रेमिट्यान्सः .....

अपहत्ते गर्नुः उसले मलाई बजार जानका लागि अपहत्ते गर्यो । पाक्षिकः यो पत्रिका महिनामा दुईपटक .....

आच्चेः आच्चे, मैले त आज किताब नै ल्याउन बिर्सेँ । अवमूल्यनः मिदेशी मुद्राको तुलनामा नेपाली .....

Tides  occur in sea and ocean due to gravity of moon or .....

Value of acceleration due to gravity at surface of the moon is 1.67 m / .....

Given, ( 1 - sin x ) ( 1 + sin x ) cos2x = ( 1 - sin2x ) cos2x    [ Since, (a - b)(a + b) = a2 - b2] = cos2x . cos2x    [ Using formula, sin2x + cos2x = 1  we have, cos2x  = (1 - sin2x )  ]   .....

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