Coordinate geometry uses pairs of numbers to locate points on a grid from "summary" of Maths Mate – 6 NEW by Madhubun
In the world of mathematics, one important concept that we come across is coordinate geometry. This concept revolves around the idea of using pairs of numbers to pinpoint the exact location of points on a grid. It may sound complicated at first, but once you grasp the basics, you will find it to be quite straightforward.
Imagine a grid with horizontal and vertical lines intersecting each other at regular intervals. Each point on this grid has a unique pair of numbers associated with it. The horizontal line is known as the x-axis, while the vertical line is called the y-axis. The point where these two axes meet is known as the origin, denoted by the coordinates (0,0).
To locate a point on the grid, we use a pair of numbers – the x-coordinate and the y-coordinate. The x-coordinate tells us how far to move along the horizontal axis, while the y-coordinate indicates how far to move along the vertical axis. By combining these two coordinates, we can accurately pinpoint the location of any point on the grid.
For instance, if we have a point with coordinates (3,4), we would move 3 units to the right along the x-axis and then 4 units up along the y-axis to reach that point. Similarly, a point with coordinates (-2,1) would involve moving 2 units to the left along the x-axis and then 1 unit up along the y-axis.
Coordinate geometry is not just about plotting points on a grid; it also allows us to determine distances between points, find the midpoint of a line segment, and even calculate gradients. By mastering this concept, you will be able to solve a variety of mathematical problems with ease. So, the next time you encounter a grid with pairs of numbers, remember that coordinate geometry is all about using those pairs to locate points accurately.
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