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SP =  Rs.1200 CP = Rs. 1000 Profit = SP - CP = Rs.1200 - Rs.1000 = Rs. 200 So,  Profit % = Profit / CP x 100%                   = 200 / 1000 x 100%          .....

      sin(90 + ϴ).sin(90 - ϴ) = xsin(-ϴ).cos(-ϴ) + cos(90 - ϴ).cos(90 + ϴ) or, cosϴ.cosϴ = -xsinϴ.cosϴ + sinϴ(-sinϴ)   [ sin(90 + ϴ) = cosϴ, sin(90 - ϴ) = cosϴ, sin(-ϴ) = - sinϴ, cos(-ϴ) = .....

We have given, the points A (3, 2),B (0, -4) and C (-3, k) are collinear.  So, slope of AB =  Slope of AC or, [ - 4 - 2 ] / [ 0- 2 ] = [ k + 4 ] / [ -3 - 0 ] or,  - 6 / - 2  = [ k + 4 ] /  - 3 or, 3 x ( -3) .....

Let, ( x1 , y 1) =  (1, 3) and ( x2,y 2) = (6, -2) We know, equation of st.line is, y - y1 = [ y2 -y1 ] / [ x2 -x1 ]  X [ x - x1] or, y - 3 = [ - 2 - 3 ] / [ 6 - 1] X [ x - 1] or, y - 3  = -5 / 5 X [ x -1 ] or, y - 3 = .....

Here,  Cosec ( - 570o) = - Cosec 570o = - cosec ( 360 + 210o) = - cosec 210o = - cosec( 180 + 30o) = - x - cosec 30o  = 2 .....

We have given,  f(x +2) = f(x) + f(2), Put x = 0, we get, f(0 +2) = f( 0 ) + f(2), or, f(2) = f(0) + f(2), or,   f(0) = 0. Again put x = -2,  f(- 2 +2) = f(- 2) + f(2), or, f(0) = f(- 2) + f(2), or, 0 = f( .....

Here,  Sn = n2 + 2n So, S1 = 12 + 2 = 3 S2 =22 + 2x2 = 8 S3 =32 + 2x3 = 15 S4 = 42 + 2x 4 = 28 S5 = 52 + 2 x 5 = 35 We know,  t1 = S1 = 3, t2 = .....

Here, P (x,y) reflaction y = x --------------------> P' ( y,x) Here, P'(y, x) = ( -5,-3) So, y = -5  and x = -3 Hence point P ( x,y) = ( -3 , - .....

Here, A = { 1,2,3,4,5,6} AXA =  { 1,2,3,4,5,6} X { 1,2,3,4,5,6}           = { (1,1),  (1,2), (1,3), (1,4), (1,5), (1,6), (2,1),............................ (6,5), (6,6)} Now, relatio, R : x = y is,    .....

Application must reach this office by13th march. Those received after 13th march will not be .....

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We have given, 2x3 + 5x2 + (a + b)x - 6 = 2x3 + bx2 + 7x + k, Compearing the corresponding coefficients  We get,  5 = b, ==> b = 5. a + b = 7 ==> a + 5 = 7 ==> a = 7- 5 = 2 and, - 6 = k ==> k = - .....

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Solution: Given, load (L) = 160 N Load distance (L.d.) = 20 cm Effort distance (E.d.) = 80 cm Effort applied (E) = ? We know, for ideal machine, Input = Output Or, E ⨯ E.d. = L ⨯ L.d. Or, E ⨯ 80 = 160 ⨯ 20 Or, E .....

To draw the graph of it, You should put class( marks obtained) in x - axis  and , frequency ( no.of students) in y - .....

Here, AC is diameter of circle, Let r be the radius, The, AC = 2r = 10cm or, r = 10cm / 2= 5 cm So, OB( is also radius) = .....

1. Magnesium + Hydrochloric acid = Magnesium chloride + hydrogen Mg(s) + 2 HCl(aq)---------------- -->   MgCl2(aq) + H2(g) 2. Zinc + Sulphuric acid = Zinc sulphate + Hydrogen Zn + H2SO4 → ZnSO4 + .....

Here, sum of length and breadth = 20 cm or, L + B = 20cm We know, perimeter of rectangle = 2( L + B)                                         .....

Expanded form of  (a + b)2  = (a + b) (a +b) = a(a + b) + b ( a +b) = a 2 + ab + ab + b2. = a 2 + 2ab  + .....

Sound travels faster in water than air. Under normal condition, the speed of sound in air is 343 m/s and  the speed of sound in water is 1,484 m/s. (i.e. 4.3 times as fast as in .....

Tropical monsoon climates are most commonly found in South and Central America. However, there are sections of South Asia, Southeast Asia, Africa (particularly West and Central .....

Answer: a) The give logo belongs to Save Our Souls(SOS), the international organization working for social service. b) The immediate objective of establishing SOS was to provide protection to the children who are homeless      and .....

Nepal should learn the following lessons from Kenya and Argentina: - Nepal is full of natural resources which has the prospects of tourism industry and can earn foreign   currency as Keny had done. - Around 43% of the total land is covered .....

The United Nations is a global organization which was established on 24th Oct. 1945 AD. It works with it's specialized as well as other organizations in the world. The four specialized agencies working in Nepal are; International Labour .....

The Great Himalaya Trail in Nepal is the longest highest trek in the world. It starts from Kanchenjunga to Simikot and the Yari Valley organized by World Expeditions. It is a way to enjoy the beauty of the Himalaya while helping the .....

The Panchayat system was an autocratic and party-less political system declared by King Mahendra on 22nd Poush 2017 BS. The state power was centralized to the King in this system. The  causes that made Panchayat System victorious in the .....

We have given, f(x) = 2x + 5 Put x  = 6, f(6) = 2 X 6 + 5  = 17 Put x = 0,  f(0) = 2 X 0 + 5 = 5 FInally,  f(6) - f(0) = 17 - 5                   = 12 is the required .....

Here, rate = Rs.38 per km. i.e;  to tavel 1 km ,Rs.38 is required. So, to travel  50 km, 50 x Rs.38 = Rs. 1900 is .....

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Here, let r be the radiys and (h , k ) be the centre of the circle. Given, circle touches both the axis,  so h =  k  and r = magnitude of h or k. Since centre lies on line  x + 2y - 12 = 0 So, h + 2h -12 = 0 or, h .....

Here total expenditures = 30% + 15% + 5% = 50% So her saving = 100% - 50% = 50% Hence, 50% of total income = Rs.2500 or, 50 / 100 x total income =  Rs2500 or, Total income =  Rs 2500x 100/ 50 =  Rs. 5000 Now, expenditure in food .....

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Here, n(U) = 130, n(V) = 80, n(F) = 75 n( VUF) ' = 10 We know,  n ( VUF) = n(U) - n( VUF) '                   = 130 - 10 = 120. Again,  n(VUF) = n(V) + .....

Let the angles are  A , B  and  C. Then,  A = 2 / 3 x 90 = 60o B= C + 18o We know,  A + B +C = 180o or, 60 + C + 18 +  C = 180 or, 2C = 102 or, C = 102/2 = 51o = 51 x π / 180c = [51π / .....

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Here, first vertex is (0, 0).  Mid- point of (4, -6) and (1, -3) is  = {(4 + 1)/2, (- 6 - 3)/2} = (5/2, -9/2) Now, equation of the median drawn from vertex (0, 0) is passes through (5/2, -9/2). or, y - y1 = {(y2 - y1)/(x2 - x1)} (x .....

Here, Sn = 8n2 + 16n + 12 we know,   tn  = Sn - Sn-1         = (8n2 + 16n + 12)  - {8(n - 1)2 + 16(n - 1) + 12}       = 8n2 + 16n + 12 - { 8n2 - 16n + 8 + .....

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The light of Asia - Gautama .....

It must displace 500N of water because, any object can float in water, if it can displace the weight of water equal to weight of .....

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The Balkan crisis started when Austria-Hungary annexed Bosnia. Austria-Hungary annexed Bosnia because they wanted to expand their empire into the Balkans. Serbia was annoyed by this because they wanted Bosnia to become part of a 'Greater .....