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In a plane, a Cartesian coordinate system describes each point uniquely by a pair of numerical coordinates that are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.
Let us delve into coordinate geometry now.
Question 1: How do you find the coordinate plane?
The intersection of a vertical line called the y-axis and a horizontal line called the x-axis forms a two-dimensional plane known as a coordinate plane, a pair of real integers (x,y).The point where the two axes meet is the origin. The axes divide the coordinate plane into four equal pieces, each labelled separately.
Question 2: How do you find coordinates in geometry?
Coordinates are a collection of values that assist to illustrate the exact location of a point in the coordinate plane. We can estimate the distance between two points, divide lines in m:n ratios, locate the midpoint of a line, calculate the area of a triangle in the Cartesian plane, and so on using coordinate geometry.
Question 3: Why is the coordinate plane used in geometry?
The study of geometry using coordinate points is known as coordinate geometry (or analytic geometry).Coordinates are a collection of values that assist to illustrate the exact location of a point in the coordinate plane. A coordinate plane is a two-dimensional plane created by the intersection of two perpendicular lines called the x-axes and y-axes.
Question 4: What is the difference between coordinate geometry and plane geometry?
Plane geometry, also known as Euclidean geometry, is based on axioms, definitions, and theorems that may be proved from them. It's an axiomatic principle.
Cartesian geometry, also known as coordinate geometry, is a form of Euclidean geometry in which each point is designated by a pair of real integers (x,y).
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