Distance between 2 points if coordinates are given

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This educational video, presented by a lecturer from Knowledge Gate, covers two programming problems in C. The first segment demonstrates a program to calculate the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of two numbers using recursive functions, with a step-by-step trace of the GCD function for inputs 6 and 12. The second segment addresses a problem to find the distance between two points given their coordinates. The instructor explains the mathematical logic, deriving the distance formula from the Pythagorean theorem, and then presents a complete C program that uses the `sqrt` and `pow` functions from the math library to compute the distance. The video uses a blackboard interface to write code and diagrams, with the instructor providing verbal explanations throughout.

Chapters

1. 0:00 – 2:00 00:00-02:00

   The video begins with the Knowledge Gate logo, followed by a screen showing the organization's various educational channels. The main content starts with a C program on a blackboard to calculate the GCD and LCM of two numbers. The instructor explains the recursive logic of the `gcd` function, showing a trace for inputs a=6 and b=12, which results in a GCD of 6. The `lcm` function is defined as (a*b)/gcd(a,b). The code is written using `#include <stdio.h>` and includes a `main` function that takes user input and prints the GCD and LCM. The instructor, identified as Yash Jain Sir, is visible in a small window, explaining the code and its logic.

2. 2:00 – 4:20 02:00-04:20

   The video transitions to a new problem: writing a program to find the distance between two points. The instructor writes the problem statement on the blackboard. He then explains the logic, stating that the distance formula is derived from the Pythagorean theorem. A diagram is shown illustrating a right-angled triangle with vertices at (x1,y1) and (x2,y2), where the legs are (x2-x1) and (y2-y1), and the hypotenuse is the distance 'd'. The formula is written as Distance = √((x2-x1)² + (y2-y1)²). The instructor then presents the C code, which includes `#include <stdio.h>` and `#include <math.h>`. A function `double distance(int x1, int y1, int x2, int y2)` is defined to calculate the distance using `sqrt(pow(x2-x1, 2) + pow(y2-y1, 2))`. The `main` function prompts the user for the coordinates of two points and calls the `distance` function to print the result.

The video provides a structured, step-by-step tutorial on solving two common programming problems in C. It begins with a detailed explanation of recursive algorithms for GCD and LCM, using a trace to illustrate the function calls. It then transitions to a geometric problem, first establishing the mathematical foundation with the Pythagorean theorem and a diagram, before implementing the solution in code. The progression moves from algorithmic logic to mathematical application, demonstrating how to translate a real-world problem into a functional C program, with a consistent focus on clear code structure and the use of standard library functions.