Students and Teachers Forum

Here,  Length of side of square = l = 7cm Radius of semi-circle = 7/2 = 3.5cm Area of shaded region = Area of sdquare - area of two semi-circle = l2 - 2 ⨯ πr2/2 = (7cm)2 - 22/7 (3.5cm)2 =................Find .....

In summer the temperature is high and this causes length of metal wire to increase significantly(as the temperature coefficient of metal wire is high) causes to increase the time period of pendulum and this makes the clock slower whereas in winter .....

Klinefelter syndrome, also known as the XXY condition, is a term used to describe males who have an extra X chromosome in most of their cells. Instead of having the usual XY chromosome pattern that most males have, these men have an XXY .....

You can follow the following steps while writing about a movie review: 1. What is the title of the movie? 2. Who directed the film? 3. When and where does it take place? 4. Who are the main characters in the story? 5. What is the film .....

Air pressure is the intrinsic pressure in a quantity of air. It can come from any number of sources. Atmospheric pressure is air pressure due solely to the weight of the air above us in the .....

We start our proof by having you look at the following figures:     Did you notice that as we went from 4 sides to 8 sides, the area outside the circle, but inside the square shrank considerably? This is illustrated .....

Given: There are 4 arithmetic means. first term = a last term = b first mean  = 7 forth mean (last mean) = 31 Let the common difference be 'd'. First mean = second term 7 = a + d ..........(i)   [ Since, tn = a + .....

Given: There are 6 AM's. 1st term = a. Last term = b. 2nd mean  = 8. Last mean = 20 Let the common difference be 'd'. So,  2nd mean = 3rd item = a + 2d = 8..........(i)   [ Since, tn = a + (n - .....

Timber is a quality of auditory sensations produced by the tone of a sound wave. The timbre of a sound depends on its wave form, which varies with the number of overtones, or harmonics, that are present, their frequencies, and their relative .....

The energy radiated by the star is called staller energy. Best example of staller energy is the energy from sun, which in the form fo heat and light we are getting .....

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i)     Magnification = 1 ⟹  Size of image = Size of object. ii)   Magnification > 1  ⟹  Size of image  >  Size of object. iii)  Magnification < 1  ⟹  Size of image .....

The optical power of a lens is equal to the reciprocal of the focal length of the lens. P = 1/f. SI unit of power is dioptre (D) and that of focal length is metre (m). 1 D = 1 .....

Look at the diagram;  If the ray of light passes through the optical centre, it does not bent or .....

g. The angel told him that he would have god as a father if he would be a good boy.  h. The morning was cold.  i. At the end of the poem, Tom was given the message that if all do their duty, they need fear .....

This is because, moon is the nearest astronomical object of earth and easily visible.  Another reason is most of religious and traditional calender are based on the phases of moon. So following this, we design our calendar on the basis of .....

The side facing the Earth is not receiving any sunlight. The moon does not create light, it reflects sunlight. When the moon lies between the Earth and the Sun, it is only the back side of the moon that is light by the Sun. In this situation the .....

It’s mainly due to the number of electrons in their valence shell. The alkali metals each only have one valence electron, thus they are the most reactive elements because their nucleus does a poor job retaining that valence electron. On the .....

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Here,  LHS = Sin4A         = Sin(A + 3A) Using the formula of Sin(A+B) we get,         = SinA Cos3A + CosA Sin3A  Now apply the  formula of sin3A & cos3A  we get,   .....

Put A = α & B = β in the following solution and try to do .....

Contamination of air  by substances that are harmful to living things are 1. Dust particals. 2.Carbondioxide 3.Green house gasses 4.smokes etc,  Contamination of  soil by substances that are harmful to living things are 1. .....

Let us recall the formula of  cos (α + β) = cos α cos β - sin α sin β and  sin (α + β) = sin α cos β + cos α sin β. Now, 

LHS = cos (A + B + .....

Here, LHS = (cos 8-sin8)/(cos 8+sin8) =(cos 8(1-sin 8/cos 8))/(cos 8(1+sin8/cos8)) by cancelling common cos 8 and writing tan 8=sin8/cos8 , we get =(1-tan8)/(1+tan8) writing 1as tan45, we get =(tan45-tan8)/(1+tan45 . tan8) which is in .....

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We know,  20o + 25o = 45o Operating both sides by Tan, we get Tan(20o + 25o)=  Tan45o Now using formula of Tan(A + B) and value of Tan45o, we get (Tan20o + Tan25o) / ( 1 - Tan20o Tan25o) = 1 Now simplify one more step .....

He wrote the letter to request his son's headmaster for his .....

Here, Given A+B = π/4 = 45o Taking  tan on both the sides  tan(A+B) = tan45o   Using formula of tan(A + B) and value of tan45o, we get  or, tanA+tanB/1- tanA tanB = 1 or, tanA+tanB=1-tanA.tanB or, .....

Women’s empowerment is the concept that deals with the five components: women’s sense of self-worth their right to have and to determine choices their right to have access to opportunities and resources their right to have power to .....

We have given, A + B + C+ D = 360o or, A + B = 360 - (C + D) Oprerating both sides by Tan, we ge tan( A + B) = tan{360 - ( C + D)} or, tan(A + B) = - tan(C + D)        [ Since, tan(360 - X) = - tanX.] Using fomula we .....

On full moon day, the Moon is on the opposite side of the Earth from the Sun and we see only the illuminated side. On that day it rises as the Sun is setting and sets and the Sun is rising. It is visible all night long. In this way we see the full .....

From the above image you can name the colours used in bhai .....

Some of the name of the games are: football cricket hockey basketball hide and seek dandi- biyo volleyball and .....

Earth

The third closest planet to the Sun is Earth and is the largest and densest of the inner planets. Earth orbits in a reasonably circular at 150 million km and is the first of the planets to have a moon. Earth is of course the only .....

Here,  First term = a = 17 Common diff. = d = -2 Sum of n terms = Sn = 72 We know,  Sn = n/2[ 2a + (n - 1)d] or, 72 = n/2 [ 34 -2 n + 2] or, 72 =  - n2 + 18n or, n2 - 18n + 72 = 0 Now solve and find n. [ Ignore the .....

Here,  First term = a = -16 Second term = -15 Common diff. = Second term - first term = -15 - (-16) = 1 Sum of n terms = Sn = -100 We know,  Sn = n/2[ 2a + (n - 1)d] or, -100 = n/2 [ - 32 + n - 1] or, -200 = n2 - 33n or, .....

Citizen of a nation may be defined as the person who are the resident of the place and are given the certain rights that the foreigners do not have. The citizen along with the rights are given certain responsibilities which are expected to be .....

Probability of getting a prime on a dice = P(P) = n(P)/n(S) = 3/6 = 1/2 Probability of getting a head on a coin = P(H) = n(H)/n(S) =  1/2. Since, they are independent events,  So, probability of getting a prime number on the dice .....

A social problem is normally a term used to describe problems with a particular area or group of people in the world. Some of the common social evils would be alcoholism, racism, child abuse, etc. It also affects how people react to certain .....

The little dog was trained up and fitted with a space suit before being launched into space on November 3, 1957. The craft carrying Laika, Sputnik 2, made over 2,000 revolutions of the Earth before disintegrating on reentry. Laika had perished in .....

If the astronauts are to be lost in space, no doubt they will certainly die as they will have any place to land on. Further, they would have consumed all their resources like oxygen, food and will certainly .....

I agree with the statement that the development of human resource develops the nation. We know that human resource can utilize the available natural and capital resources. The maximum utilization of natural and capital resources is possible only .....

Let the two  numbers be x and y.  Thus, the reciprocals of the numbers become 1/x and 1/y. According to question, x + y = 15 or, y = 15 - x..............(i) And  1/x + 1/y = 15/56 or, 1/x + 1/(15 - x) = 15/56 taking LCM, we .....

1. Periscope :  2. .....

Let the Primarly Voltage be 'Vp' , Secondary Voltage be 'Vs'. From given condition, Current = I = 5A. Turns in Primary coil(Tp) = 800  Turns in Secondary coil(Ts) =? Voltage in primary coil (Vp) = 220 V Voltage in .....

Here,  Height of pyramid = h= 8cm  Length of base= a = 12cm Slant height of pyramid = l = √[h2 + (a/2)2] = .............= 10cm Height of Prism = H = 18 - 8 = 10cm Now,  TSA of solid = Area of base + LSA of Prism .....

Here,  Height of pyramid = h = 14 - 10 = 4cm Length of side = a = 6cm Height of prism = H = 10cm So, slant height = l = √[h2 + (a/2)2] = ...............= 5cm Now,  TSA of solid = Area of base + LSA of prism + LSA of .....

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