Solution: Given [(1+i)/(1-i)]n = 1 Multiply numerator and denominator with (1+i) We get [(1+i)(1+i)/(1-i)(1+i)]n = 1 [(1+2i-1)/(1-i2)]n = 1... View Article
Solution: Given (x-1)3+8 = 0 (x-1)3= -8 Taking cube root on both sides (x-1) = 2(-1)1/3 (x-1)/-2 = 1 or (x-1)/-2 = w , (x-1)/-2 = w2 So x =... View Article
In probability theory, the Central Limit Theorem (CLT) explains that the mean of the sample distribution approaches a normal distribution (also... View Article
Calcination, for the purpose of extracting toxic compounds, heating solids to a high temperature, oxidising a part of the mass or making them... View Article
According to the textbook that we read in our schools the man credited by modern science for conducting extensive research work on atoms and... View Article
Normally in photoelectric cells metals that have low ionisation enthalpies or metals which can emit more easily are used. One of the most popular... View Article
Lemon in its natural form is generally acidic. If we measure the pH of lemon then its pH is about 2 which is far below the normal level. Usually,... View Article
Water is said to belong to the covalent category. In other words, water is made up of covalent bonds and not ionic bonds. If we look at the... View Article
Aluminium is the third most abundant element or common metal available in the world and as per recorded data, the numbers are about 8 per cent.... View Article
Well, we have various people to mention and briefly talk about a few historical developments while answering this question. Plastic development... View Article
If we read this question, then it sounds quite simple but the answer to it is surprisingly complex. This is because there are a lot of factors to... View Article
When two or more lines cut or intersect each other at a single point, they are called intersecting lines. We do not have any symbol to represent... View Article
The most important rule to multiply two matrices is that the number of rows in the first matrix is equal to the number of columns in another... View Article
Arithmetic is a branch of mathematics that deals with various mathematical operations, such as addition, subtraction, multiplication and... View Article
To find the measure of an angle, given the adjacent side and hypotenuse of a right-angled triangle, we can use the inverse cosine function. The... View Article
An angle that measures as zero degrees (0°) is called a zero angle or zero radian. The condition of zero angle, the two lines or two rays are in... View Article
Dividing integers is a simple method. We have to find the factor that can be multiplied to an integer to divide another integer. For example, if... View Article
In calculus, differentiation simply defines the process of differentiating a function with respect to a variable. Differentiation means finding... View Article