Here,  Given: ABCD is a //gm & AP = QC, To prove =  ∡PDA = ∡CBQ. Proof:   Statement   Reason 1. ∡DAQ = ∡BCP  1. Alternative angles. 2. In ∆PAD .....

Here,the ratio of people who like milk but not milk but not curd and who like curd but not milk is 6: 5.  So, no(M) : no(C) = 6:5  ⟹ no(M)= 6 no(C)/5..............(i) Again, 44 people like only one of .....

Let the matrix be B =  .....

Here, Join O&P and O & S. Δ PQR ≌  Δ QRS, 1. ∡PQR = ∡QRS.  [ Corresponding angles of ≌  Δs.] 2. TQ = TR        [ From 1.] 3. PQ = SR [ .....

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Let MP be y. Then,  SP = MP - Discount % of MP  = y - 20/100 x y  = 4y/5. Again, Profit = 28% So, SP = CP  + P% of CP or, 4y/5 .....

Here, Total dividend = 50% of Profit = 50/100 x Rs.350000 = Rs.175000. Each share will be received = Rs. 175000/5000 = Rs.35 So, Hari will receive Rs.35 x 500 = .....

Here, f = {(2, 3), (4, 5), (6, 7) } and gof = {(2, 4), (4, 6), (6, 8)} Arrow-diagram: From the diagram, g = {(3,4), (5, 6), (7, .....

Here, Rate = Rs.6 perm2. So, Total cost of papering = Area of 4-walls x rate  = 240m2 x Rs.6/m2 = .....

Let the original price be y. Then by the question, y - 5% of y = Rs.19000 or, y - 5/100 x y = Rs.19000 or, 95y/100 = Rs.19000 or, y = Rs.19000 x 100/95. Calculate .....

Here,  (2a+3)/(5b-3) =2/3 or, 3(2a+3)= 2(5b-3)  or, 6a + 9 = 10b - 6 or, 6a = 10b - 15 or, a = (10b - 15)/6 Now,  3a:2b = 3(10b - 15)/6 : 2b            = (10b - 15): 4b Now simplify and get .....

Rohini, Aryabatta, Sputnik are the artificial .....

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Here, 10 japanese yen = Nepali Rs 6.34 1 japanese yen = Nepali Rs 6.34 / 10 1 japanese yen = Nepali Rs 0.634 Again, Nc Rs 160 = IC Rs 100 Nc Rs 1 = IC Rs 100 / 160 Nc Rs 1 = IC Rs 0.625 Then, 2500 japenese yen = Nepali Rs 2500 * 0.634 = Nepali Rs .....

A medium in which the speed of light is more is known as Optically Rarer medium . Air is optically rarer medium as compared to glass and .....

Here,  64, x, y and 8 are in GP. Let a be the first term and r be the common ratio. Then,       t4 = ar3   [ Since, tn = arn-1.] or, 8 = 64. r3 or, 1/8 = r3 or, (1/2)3 = r3 or, r = .....

Here, AB is line joining the centres of both the circles. We kow, PQ is perpendicular to the line joining the centre of circle AB. Let O be the intersecting point of chord PQ  and line AB. Then, PO = OQ  and  OR = OS     .....

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1. Gaurab says, "I am fine." (indirect) Ans. Gaurav says that he is fine. 2. The teacher said, "The sun sets in the west". (indirect) Ans. The teacher said that the sun sets in the west. 3. The teacher says, "Kabita is a .....

1. Don't laugh at the poor. (passive) Ans. The poor should not be laughed at. 2. Help the poor. (passive) Ans. The poor should be helped. 3. I was invited to the party. (active) Ans. They invited me to the party. 4. The students have .....

Here, x + 100 = 180 [ Being straight line ] x = 180 - 100 x = 80 Again, z + 140 = 180 [ Being straight line ] z = 180 - 140 z = 40 Again, x + y + z = 180 [ Sum of angles of a triangle ] 80 + y + 40 = 180 y + 120 = 180 y = 180 - 120 y = .....

Here,  We need to calculate: 90000 + 2000 We can write this .....

The adverse effects of these development works can be the followings: - Industrial wastage can create pollutions in the environment. - The construction of the roads can exploit the natural resource. - Settlement of refugee camp near the .....

Let vector a = 2i+3j and vector b = (k+1)i + 2kj. Now, dot product of a and b is  vecror a. vecror b = 2(k+1) + 3(2k) = 8k + 2. Magnitude of vector a = √(22 + 32) = √13. Magnitude of vector b .....

Here, Probability to wait at the traffic light = 0.25 = .....

Equating the equation 4x + 7y - 15 = 0 with Ax + By + C = 0, Then, A = 4 B = 7 C = -15 Since the length is drawn from ( -2,-6 ), ( x,y ) = ( -2,-6 ) Using formula, Length = |( Ax+By+C )|/ ( A2 + B2 ) = |( 4*-2 + 7*-6 +(-15) |/ ( .....

a). My father told me to study medicine.(into direct speech) Ans. My father said to me, "Study medicine."  b). What do you eat? ( into passive voice) Ans. What is eaten by you?  c). Ants carry their prey together .(into passive .....

Here, Slope of the line formed between origin ( 0,0 ) and (-3, 4 ), m1 = ( 4 - 0 ) / ( -3 - 0 ) = -4 / 3 Let m2 be the slope of required line, then,  m1.m2 = -1 or, m2 = 3/4. Then, the equation of the line passing through ( .....

Here,  Slope of line making x-intercept and y-intercept as 5 and -4 is  m = - y-intercept / x - intercept = -(-4)/5 = 4/5. Slope of the line // to this line is m = 4/5. Finally, .....

When a zinc rod is used as an electrode in a primary cell, its circuit becomes complete even current is set up from zinc to copper or iron particles. In this way, it causes a loss of zinc and electrical power; .....

Here, 4cosa + 3sina = 5 or, 4 cosa + 3 sina = 5(cos2a + sin2a)   [ Since, cos2a + sin .....

Here, Sin2A = 3 tanA cos2A or, sin2A/cos2A = 3tanA or, tan2A =3tanA or, 2tanA/(1 - tan2A) - 3tanA = 0 or, tanA( 2 - 3(1 - tan2A)) = 0 Either, tanA = 0 ⟹ tanA = tan0o, tan360o  ⟹ A = 0 & 360o. Or, 2 - 3 + 3 tan2A = .....

You might have learned about acceleration. By the equation, F = ma  a = F/m F= force m = mass a = .....

I have been bitten by a .....

He was made by .....

Here, P = Rs.9000 Time = T = 1 year. R1 = 8% R2 = 12%. Gain of bank = PTR2 / 100 - PTR1 / 100 = 9000x1x12/100 - 9000x1x8/100 = 1080 - 720 = 360. Thus, bank gain Rs.360 in a .....

सामान्य वर्तमान म काम गर्छु । म घर जान्छु । अपूर्ण वर्तमान म काम गर्दै छु । म घर जाँदै छु । पूर्ण .....

Here, P = Rs.5000 Time = T = 1 year. R1 = 6% R2 = 10%. Gain of bank = PTR2 / 100 - PTR1 / 100 = 5000x1x10/100 - 5000x1x6/100 = 500 - 300 = 200. Thus, bank gain Rs.200 in a .....

Nepal harbors 5980 species of flowering plants which covers 2.4% of the world's .....

Mostly, the corruption is found in politics, public administration, the judicial system, etc. The Prevention of Corruption Act is the country’s principal anti-corruption law. It criminalizes corruption, bribery, money laundering, abuse of .....

- The status of infrastructure development is getting better. - Different kinds of discrimination have been ended and unity in diversity has been maintained. - The level of people's awareness increased all of sudden. - The social problems and .....

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Here, a+b+c=π

5a+5b=5π-5c

∴ 5a/2 + 5b/2 = 5π/2 - 5c/2

sin(5a/2+5b/2) = sin(5π/2-5c/2) = cos 5c/2

cos(5a/2+5b/2) = cos(5π/2-5c/2) = sin5 c/2

L:H:S = sin 5a + sin5 b + sin .....

Let θ be the angle of depression and 90 - θ be the angle of elevation. Here, height of house = AB = 20m, Height of tower = 80m = CD ED = CD - CE = 80 - 20 = 60m. ∡CAE = ∡ACB = θ. In right angled triangle .....

Savings refer to money you put aside for future use rather than spending it immediately. Saving money can help you become financially secure and provide a safety net in case of an emergency. We can present the following points regarding the .....

Savings refer to money you put aside for future use rather than spending it immediately. Saving may take the form of; - increases in bank deposits, - purchases of securities, or - increased cash .....

Three points are collinear if the area enclosed by the line joining these points is zero. i.e, Area of triangle = .....

Here, x cosα + ysinα = p.  We know, Slope = m = - coeff.of x / coeff.of y = - cosα / sinα = - .....

Y-intercept of this line is always a .....

To find the x-intercept of the line Ax + By + C = 0 , reduce it in to double intercept form, x/a + y/b = 1. Then, x - intercept = a = -C/A, which is required .....