Exploring coordinate geometry in mathematics from "summary" of RRB ALP Exam PDF-RRB Assistant Loco Pilot Exam-CBT-1-Mathematics Subject eBook by Chandresh Agrawal,Nandini Books
Coordinate geometry is a branch of mathematics that deals with the study of geometric figures using coordinates. It provides a powerful tool for solving problems in various fields such as physics, engineering, and computer science. By assigning coordinates to points on a plane, we can represent geometric shapes and analyze their properties algebraically. In coordinate geometry, a point in a two-dimensional plane is represented by an ordered pair of numbers (x, y), where x is the horizontal coordinate (abscissa) and y is the vertical coordinate (ordinate). These coordinates can be used to determine the position of a point relative to a reference point called the origin, usually denoted by (0, 0). Using coordinates, we can define geometric objects such as lines, circles, parabolas, and ellipses. For instance, a line can be represented by an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept. By manipulating equations involving coordinates, we can derive properties of these geometric objects and solve various types ...
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