Blog Page 10

### Show that for each complex number z, z’.z is a real number

The solution to this problem is quite simple But before diving into it's solution, remember the following key points about complex numbers.i^2=-1, So whenever you get i^2, replace it by -1 to further simplify the problem. A complex number is of the form...

### Simplify sqrt(16) . sqrt(-49).i

The solution to this type of problem is quite simple. Before diving into these type of questions,you must remember two key points about complex numbers.sqrt (-1) = i^2, so in case you have a negative square root and you...

### Simplify |z-4|=3

Solution: Here we know that z= x + yi hence |z- 4| =|x+iy-4|=3 =|(x-4)+iy|=3Taking square on B.S  Ans

### Simplify i^115

The solution to this type of problem is very simple and is explained below:Solution:Note that 114 = 2 x 57Note: i^2= -1

### Simplify [ (2 – 3i) (3 + 2i) ] / (4 – 3i)

Given Expression:The solution to this problem is very simple. To start off we will first simplify the numerator terms and then ,if needed, apply cross multiplication to further simplify the whole expression.Solution: Now that the numerator is in simplified...

### How to make an ALU with AND,OR,ADD operations?

Today I am going to show you how to make an ALU with AND,OR,ADD operations.In this tutorial I will use the ALU we had already created in the tutorial ALU with AND,OR operations and simply integrate an ADDER Circuit...

### Express 2e^3i*pi into standard or rectangular form

Similarly we can express the following complex numbers in standard or rectangular form.10e^i*pi 10e^i*pi/2 e^2i*n(pi)

### Express 10e^2.095i into standard or rectangular form

Similarly we can express the following complex numbers in standard or rectangular form.8e^3.095i 10e^3.492i

### Express 4cis330 into standard or rectangular form

Similarly we can express the following complex numbers in standard or rectangular form.9cis(pi/2)          (pi/2)=90 8cis0 cis (3pi/2)         (3pi/2)=270