In addition to technology, it has a great impact on our daily lives in the process from the past to the present. Today, it has a wide range of uses, from the planning of agricultural areas to the orbits of space stations. We have listed 10 popular analytical geometry formulas for you.

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Analytical Geometry Formulas:

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• Slope of the line
• Perpendicular distance between line and point
• Equation of the line whose points of intersection are certain
• true bundle
• Angle between two intersecting lines
• Rotation and translation of an analytical structure
• Area of ​​a rectangle
• Area of ​​a triangle
• Center of gravity of a homogeneous planar body
• General conic equation

Slope of the line

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One slope of the line, expresses the horizontality of the line and also the value change.

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Perpendicular distance between line and point

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in mathematics, The distance can be defined in more than one way. To avoid this confusion, vertical distance is used. This formula, which can be derived from the distance between two points, is expressed as above.

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Equation of a line whose points are certain to cross the axes

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We need some data to express a line on the analytical plane. if if we know the points where the axes intersect we can express the truth as above.

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Right Harness

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intersect at one point If we know the formula of n lines, it is possible to find infinite lines passing through that point.

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Angle between two intersecting lines

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Angles are one of the things that allow us to interpret many geometric shapes. Here, too, we see the basis of many geometric shapes.

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Rotation and translation of an analytical structure

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What we can express on an analytical plane we can move anything to where we want and rotate it in any degree we want.

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Area of ​​a rectangle

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In particular, it is often used in land surveying and designing agricultural fields. from domain accounts is used. It has also been seen that it was used to make productive crops in past civilizations.

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Area of ​​a triangle

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We can also use some operators in mathematics for different purposes, the area of ​​a triangle given three vertices is a multi-linear function. determinant we can calculate as above.

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Center of gravity of a homogeneous planar body

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Consisting of any n pieces a homogeneous planar body,, the center of gravity (X, Y) point can be calculated with the above equations according to a selected axis set.

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General conic equation

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Parabola, circle, ellipse and hyperbola

Conical structures such as are actually a series of cross sections of a cone. We can express all these conic structures with the above formula.

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