Lines and planes in space

Projection In 3D Space

Dimension refers to the number of independent coordinates needed for defining the position of a point. Any real-life object can be referred to as a three-dimensional object. In three-dimensional space, there are three axes, named as x-axis, y-axis and z-axis.  Let us consider there are two planes, plane-1 and plane-2. Now, plane-1 consists of some […]

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Problems On Circles

A circle is a two-dimensional figure made up of points that are next to one another and equidistant from a fixed point. The center of the circle is the fixed point in this curved plane figure, the radius is the common distance between the points from the center, and the diameter is a line that

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Problems on 3D Geometry

In this article, we will discuss the methods of solving problems on 3D geometry. 3D geometry problems consist of various topics, such as problems based on direction ratios and direction cosines, lines in 3D space, planes in 3D space, etc. Direction ratios and direction cosines include problems like; finding how distant a certain point is

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Pre-requisites About Three-Dimensional Geometry

3D geometry is the study of shapes in three-dimensional space using three coordinates: x-coordinate, y-coordinate, and z-coordinate. To discover the exact location of a point in three dimensions, three criteria are necessary. A coordinate system is the technique of determining the position or location of a point on the coordinate plane in three dimensions. Rectangular

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Position of Origin

The position of a point of origin is the beginning or starting point, from where all the other points are taken into consideration. On a graph, this position is fixed, usually denoted as O, and acts as a definite reference point for the surrounding space. It is denoted as (0,0 ) on the graph. How

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Polyhedron

In geometry and algebraic geometry, the word polyhedron has numerous interpretations that are imperceptible to the untrained eye. In geometry, a polyhedron is simply a three-dimensional solid that is made up of a collection of polygons that are normally joined at their corners. To put it another way, a polyhedron is a three-dimensional variation of

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Polygon definition

When it comes to Euclidean geometry, the concept of a polygon is critical. Geometric polygons are closed plane objects with all of their sides being made out of line segments. Each side should bisect exactly two other sides, but only at their endpoints, in order to be considered complete. The sides of polygons should be

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Points of Intersection of Line

A line is a geometric construct composed of infinite points that extend in both directions indefinitely. It has no depth or width and is completely straight. It is depicted on both sides by little arrows. There are no ends to a line. A line can be formed from any two places that passes through them

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Points in a Plane with respect to a Circle in the Same Plane

All points in the same plane that are at an equal distance from a centre point form a circle. Only the points on the border make up the circle. The circle is only made up of the points on the border. Interior points are places within the hoop that are not part of the circle.

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Planes, Lines, Angles about Three Dimensional Geometry

The mathematical study of three-dimensional shapes in three-dimensional space, known as three-dimensional geometry, requires the use of three coordinates: x-coordinate, y-coordinate, and z-coordinate. To pinpoint the precise location of a point in a three-dimensional space, you will need to consider three criteria. Due to the fact that there are many problems pertaining to three-dimensional geometry

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry