Students and Teachers Forum

Here,  Height of cone = h =24m Volume of cone = V = 1232000 liters = 1232m3.   [ Since, 1m3 = 1000 liters.] If r be the radius of base,  Then V =1/3⨯πr2h or, 1232 = 1/3⨯22/7 ⨯r2⨯24 or, r2 = .....

We know that all individuals are different. So, we should behave with each other according to their behaviour. We should accept others as they are because accepting people as they are provide them with dignity.  It helps them to develop a .....

Here, 1.∆ABC = 1/2 of //gm ABCD.       [ On same base and between same //s.] 2. So, ∆ADC+ ∆BEC = 1/2 of //gm ABCD. [ Remaining part of //gmABCD.] From 1 & 2,  ∆ABC .....

Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object. A shape with an area of three square .....

सुरेशले खेल खेल्दा तनमन लगाएर खेल्ने गर्थ्यो । उसले खेल खेल्दा अरु कामको प्रवाह .....

Here, ∡QOR = 2 of ∡QPR               [ Since, central angle is twice of inscribed angle on the same arc.]              = 70o. In triangle QRO, ∡QOR .....

Here, Let,xy be the required matrix.  1013xy = 915 or, xx+3y = 915 Equating the corresponding terms we get,       x =  9, And     x + 3y = 15  ⟹ 3y = .....

तपाईंलाई कविता कस्तो लाग्यो, प्रतिक्रिया लेख्नुहोस् है त .....

Aaran is a male name originating from the .....

Red Blood cells contain haemoglobin which is what the oxygen binds with to form oxyhaemoglobin which is then transported to the different cells around the body. Oxygen bonds with the haemoglobin when it is at high partial pressure and then is .....

We have read that water is life. Without water, the life of the people is nearly impossible. Water is one of the main reasons we are alive. It is essential for the survival of the living beings. Water is used for drinking. It is used for .....

Here, LHS  =  Sin51°+cos81°-cos21°            = Sin51°+ 2sin(81° + 21°)/2 sin(21 - 81)/2    [ Since,CosC - CosD = 2Sin(C+D)/2.Si[(D-C)/2.]       .....

Here,         A + B + C = π  or,  A/2 + B/2 + C/2 = π/2 or, A/2 + B/2 = π/2 - C/2 Operating both sides by sin and cos, we .....

Martin Luther King was an American minister and activist who became the most visible spokesperson and leader in the civil rights movement from 1954 until his death in 1968. He was born on January 15, 1929 in Atlanta, Georgia, United States. He .....

Here, SinA = 12/13, So, cosA = √(1 - sin2A)               .....

The Hare and the Tortoise
Once there lived a hare and a tortoise in a jungle. Both of them were fast friends. The hare was very proud of his swiftness, but the tortoise walked slowly. The hare always taunted .....

On a hot day of summer, an ant was searching for some water. After walking around for some time, she came near the river. To drink the water, she climbed up on a small rock. While trying to drink a water, she slipped and fell into the .....

A speech on children’s day is an item of words which is needed by most of the students and children, as it is a topic of wide awareness and interest, so here,  is an essay in very simple and applicable language on children’s day, .....

A cell is the basic functional and structural unit of of living orgainsm. It is made up of cell membrane, nucleus and cytoplasm. 1. Cell membrane - It is the outer layer of cell that bounds cell. 2. Nucleus - It is the control unit of the .....

Here,        X + Y + Z = π or,  2X + 2Y + 2Z = 2π Operating both sides by cos, we get       cos (2X + 2Y) = cos(2π - 2Z) = cos 2Z .....

Here,      √3 tanA = secA -1 or,√3 tanA - secA + 1 = 0  or, √3 sinA/cosA - 1/cosA + 1 = 0 or, √3 sinA - 1 + cosA = 0  or, √3 sinA = 1 - cosA  3sin2A = (1 - .....

Here,  Some points which are required to make a person intelligent and clever:    Pay attention in class Be prepared for school at all times. Follow instructions. Study well Finish your homework on time. Never let anyone .....

Here, RHS = 1/4 ⨯ sin4A.SecA          = 1/4⨯{(sin2.2A)/ cosA}      [ Since, secA = 1/cosA.]     .....

Here,  LHS = {(1 + cos2θ)/sin2θ}. (1 + cosθ)/cosθ          = {(1 + cos2θ) (1 + cosθ)}/(sin2θcosθ)     We .....

Let P(x, y) be the moving point and A(-a, 0) and B(0, -b). Then, by the question,  AP:BP = 4:5 or, AP/BP = 4/5 or, 5AP = 4 BP or, 25 AP2 = 16 BP2  [ Since, Squaring bpth sides.] Now use distance formula and simplify by .....

Here,  Two vertices of an equilateral triangle are (0, 0) and (3, √3). Let the third vertex of the equilaterla triangle be (x, y) Distance between (0, 0) and (x, y) = Distance between (0, 0) and .....

Here,  Profit for 1 share = Rs.20 So, Profit for 5000 share = Rs. 20 ⨯ 5000                                     = Rs. 10, .....

Here,  = 1a-5+1a+5-1a-3-1a+3 =  2aa2-25-2aa2-9 = 2a1a2-25-1a2-9 = .....

Here,  The below formula shows the relation of cost price when sp and p% is .....

Here,  Matrix  form of the vertices A(3, 1), B(-2, -1) and C(4, 2) be  Object (O) =  3-241-12 Transforming the given vertices by matrix (M) = 2002 We knoe, Image (I) = M ⨯ .....

Here,  Reflection in the line x = y. Then,  P(x, y) ⟶  P'(y, x)       .....

Here,  LHS =   1+ tan2(45-β)1-tan2(45- β) = 1/{ 1- tan2(45-β)1+tan2(45- β)} =  1cos2(45- β)      [ Since, (1 - tan .....

Here,   1/ {(x + 1)2 (x + 2)2} + 1/(x +1)2 - 2/(x + 2) =  1/ {(x + 1)2 (x + 2)2} +  {(x + 2)  - 2(x + 1)2}/{(x + 1)2 (x + 2)} =   1/ {(x + 1)2 (x + 2)2} +  (-2x2 - 3x)/{(x + .....

Here, LHS = sin2α        = sin(2 ⨯45o)         [ Since, α  = 45o.]        = sin90o        = 1        .....

जल संरक्षण र व्यवस्थापनले पानीको वातावरणको संरक्षण गर्न र वर्तमान र भविष्यको मानवीय मांगलाई .....

Here, LHS = cos2α  Put α  = 45o, we get     = cos90o     = 0                          [ Since, cos90o= 0.] RHS = ( 1 - tan2α .....

Here,  RHS = (2tanα)/(1+ tan2α)          = (2sinα/cosα)/ {1 + (sin2α/ cos2α)}            =  .....

Here, LHS = tan2α          = tan(2⨯45o)         = tan90o         = ∞                 [ Since, .....

RHS =  (1- tan2α)/(1 + tan2α)           = {1 - (sin2 α/ cos2α)}/ {1 + (sin2α/cos2α)}   [ Since, tan = sin/cos.] .....

Here, LHS = 4(sin4A + cos4A) = 4(sin460o + cos460o) = 4[ (√3/2)4 + (1/2)4] = 4 [ 9/16 + 1/16] = 4[ 10/16] = 5/2 Similarly do for RHS and solve, you will get same answer. Which verify the .....

The following things should be done for held accountable of uneven population in three geographical regions: - The lack of development of infrastructures in remote areas. - The lack of proper employment opportunities which is focused only in the .....

Here, LHS = cos 3α

= cos (3⨯45o) = cos135o = - 1/√2      [ Since, α = 45o]

RHS = 4 cos3 α - 3 cos α          = 4cos345o - 3cos45o   .....

On the picture, you can see the earth turning around the sun with an inclination of 23.5° towards the Sun. Therefore, each of the earth's poles leans towards the Sun for approximately half a year. During that time, one pole receives more .....

Here, Let, BC = 8cm = a  & CD = 6cm = b  as shown in figure. Then, Area of triangle BCD = Half of //gm ABCD.   [ Since, Diagonal bisects //gm.]                       .....

Here, sin² θ/2-sinθ/2+1/4=0 or, 4sin² θ/2 - 4sinθ/2 + 1=0 or, (2sinθ/2 - 1)2 = 0 or,  (2sinθ/2 - 1) = 0 or, sinθ/2 = 1/2 Can you complete .....

Here, position vectors  OA =  5i⃗+3j⃗ and  vector OB = 2i⃗- 3j⃗  and m:n = 2:1. We have section formula, Vector OP = ( m.vector OB + n.vector OA) / ( m + n) Use values of vector OB & OA from above and .....

Here, 169m2 - 52m - 196n2 - 56n Arranging we get, 169m2 - 196n2 - 52m - 56n = (13m)2 - (14n)2 - 4(13m + 14n) = (13m + 14n)(13m - 14n) - 4(13m + 14n)   [ Using formula, a2 - b2 = (a+b)(a - .....

Given: A right-angled ∆ABC right angled at B To Prove- AC²=AB²+BC² Construction: draw perpendicular BD onto the side AC. Proof: We know that if a perpendicular is drawn from the vertex of a right angle of a right-angled .....

Here, ∡ABC = 50o. So, ∡ADC = 50o.       [ Since, Opposite angles of //gm are equal.] Again,  ∡ADC +  ∡CDE= 180o.    [ Since, they are linear pair.] or, 50o +  ∡CDE= 180o. Can .....