Lines and planes in space

Cuboid & Cube

3D forms with six faces, eight vertices, and twelve edges are called cuboids & cubes. Cuboids & cubes are fundamental 3-dimensional objects with six faces, eight vertices, and twelve edges. On the other hand, cubes are the 3D extension of a square, but cuboids have varied lengths on each of their sides. It follows that […]

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

Cyclic Quadrilateral

A four-sided polygon inscribed in a circle is known as a cyclic quadrilateral. With the supplied side lengths, it has the largest possible area. In other words, a quadrilateral encircled in a circle represents the largest possible area for the given side lengths. In this article, we’ll learn more about cyclic quadrilaterals and their properties.

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

Definition of Parallel Lines.

Lines are an integral part of mathematics and contribute many exciting properties. Of all the types of lines, parallel lines are the most interesting to study. Parallel lines are non-intersecting lines that do not cross each other at any place possible. They are always equidistant from one another and possess exciting properties as well. It

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

Definition, Shape, Types of Triangles in Geometry

A triangle is a three-sided polygon that lies within a two-dimensional plane. This three-sided polygon is made up of three lines that meet end to end, to make an enclosed figure of which the sum of internal angles is 180°. The point where any of the two sides meet makes an angle, and therefore, a

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

Diagonals

A diagonal is a straight line that runs through the vertex of a polygon and connects its opposite corners. To learn about diagonals, we must first understand the following: It’s a line segment (diagonal). Polygons are plane figures with at least three sides and angles, and they’re frequently used to designate figures with five or

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

Difference Between 2D Shape and 3D Geometric Shape

Objects in our environment can be found in a wide range of forms and dimensions. In general, we can observe geometric figures such as squares, triangles, and circles in the environment all around us. In addition, the only dimensions that shapes like a sheet of paper have are their length and breadth. Consequently, these types

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

Difference Between Hyperbola and Ellipse

When a cone is cut at different angles, the edge of the cone marks different curves. These curves are frequently referred to as conic sections. A conic section is a curve formed by crossing a right circular conic surface and a plane surface. Different conic sections are given at various intersection angles. More About Ellipse

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

Direction cosines

Introduction Two of the most fundamental concepts in three-dimensional geometry are direction cosines and the direction ratio of a vector. In the following sections, we’ll learn about the direction cosines of a line traveling through the origin and making angles with coordinate axes.  The Cosine Function Is Used To Show The Direction The letters x,

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