Let’s say we have a situation like this: We need to find the distance between the 2 poles. Ignore the heading of the image – ‘Amazon Interview Question’ since this image is taken from the internet. We assume that the cable is of uniform density, and that the height of its hanging is the same… Continue reading
Week -2 | Complex Numbers – 5
Practice problems (MCQ Questions may have more than 1 correct answer) Q-1) Find the value of S, where Q-2) If be 2 complex numbers in the argand plane the n = a) b)|z_2| c) d)None of these Q-3) If , where , find the number of distinct elements in . Q-4)… Continue reading
Week -2 | Complex Numbers – 4
Q-1) Show that Solution: Q-2) If , then find the value of the following series: Solution: Substituting in the equation we have We must remember that to represent a Complex Number in polar form, we take out the modulus from the algebraic form. On those lines we can say Thus the equation boils down… Continue reading
Week -1 | Complex Numbers – 3
1.1 Square Root of a Complex Number Let’s assume . Squarring both sides of the equation and comparing real and imaginary parts we have – (1) – (2) We also know . That implies . And thus finally taking the positive square root we arrive at: – (3). Comparing (1) & (3), we have & . Thus, depending… Continue reading
Week -1 | Complex Numbers – 2
1.1 Locus of a Complex Number In general, locus of a complex number defines the path that the complex number can travel under certain constraints. Mathematically, it is the set of all points on the Argand Plane (also called the Gaussian Plane) that satisfy a given mathematical relationship. For example, let’s consider a simple equation… Continue reading