Question

What is the use of coordinate geometry in our daily life?

Answer 1

Hint: Coordinate geometry is referred to as the study of geometry using x and y coordinates. The line that divides the coordinate plane into four quadrants is known as the x and y-axis. The y coordinate in the Cartesian system is known as ordinate and the x coordinate is known as abscissa.

Complete step-by-step answer:
Coordinate geometry is the branch of mathematics that deals with algebra and its equations and locating specific points on the graph using the x and y coordinate. A coordinate plane is a two-dimensional plane that is divided into four planes by the intersection of two perpendicular lines which are known as the x-axis and y-axis.
If we want to know the distance between two points that are located in the coordinate system \[({{x}_{1}},{{y}_{1}})\]and \[({{x}_{2}},{{y}_{2}})\], then two find the distance between them, the distance formula is used which is given as shown below.
\[D=\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}+{{({{y}_{2}}-{{y}_{1}})}^{2}}}\]
A Cartesian plane or the coordinate plane is divided into four parts. In the first quadrant, the value of the x and y coordinate will be positive. In the second quadrant, the value of the y coordinate will be positive but the x coordinate will be negative. In the third quadrant, the value of both the x and y coordinate will be negative. In the fourth quadrant, the value of the x coordinate will be positive but the value of the y coordinate will be negative.

All the linear and nonlinear equations can also be marked on the Cartesian plane by obtaining the values of the x and y coordinate.
In real life geometry is used everywhere. For example, it is used in building various monuments. It is also used to locate the position of aircraft in space. Coordinate geometry is also used in developing various games which specify the location of the object. Coordinate geometry is also used in describing maps that we see in our mobile phones and computers to locate the position.

Note: The section formula in coordinate geometry is used to divide a line into two parts and in the ratio of m and n. The Midpoint formula in coordinate geometry is used to find the point at which the line is divided into two parts. The point at which x and y-axis intersects is known as the origin