Lines and planes in space

Relation Between a Circle and a Line in its Plane

For understanding the relation between a coplanar Circle and a Line, let us first have some knowledge about a line, circle and plane. Circle A circle is a plane figure bounded by a single curved line, with all straight lines drawn from any point within it to the bounding line being equal. The circumference is […]

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

Relation Between a Circle and a Line in its Plane

For understanding the relation between a coplanar Circle and a Line, let us first have some knowledge about a line, circle and plane. Circle A circle is a plane figure bounded by a single curved line, with all straight lines drawn from any point within it to the bounding line being equal. The circumference is

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

Regular Polygon

an n-sided polygon with all of its sides the same length and symmetrically positioned around a common center is known as a regular polygon (n=1) (i.e., the polygon is both equiangular and equilateral). Only a few regular polygons may be “constructed” using the classical Greek instruments of the compass and straightedge, and these are only

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

Regular and irregular polygons

A polygon is a two-dimensional geometry with at least three straight sides that intersect to form interior angles. They appear frequently in the world around us. Because all simple polygons have as many sides as angles, the word “polygon” derives from the Greek meaning “many angles.” The triangle, the simplest polygon, has 3 inner angles.

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

Reflection symmetry

Symmetry When two parts of anything are identical, it is said to be symmetrical. Drawing a mirror line through the middle of a form and observing if both parts are identical is a good way to check for symmetry. Translation, rotation, reflection, and glide reflection are the four basic types of symmetry.  If you can

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

Rectangular Pyramid

Pyramids are three-dimensional buildings having triangle faces and a foundation that is shaped like a polygon. The pyramid is called a rectangular pyramid when the bottom of the pyramid is rectangular. The base of a rectangular pyramid is rectangular, but the sides are shaped like triangles. A pyramid typically has three triangle sides, but varied

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

Rectangular Coordinates

Maps can be drawn using Cartesian coordinates (also known as rectangular coordinates), which are used to represent points on a two-dimensional (2D) surface as well as positions on a three-dimensional (3D) space using points on a two-dimensional (2D) surface. René Descartes, a French mathematician and philosopher, is credited with inventing the method, and his name

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

Rectangular Coordinate System

In a rectangular coordinate system, two real number lines intersect at right angles. The x-axis is horizontal, and the y-axis is vertical, and on this plane, each point connects to an ordered pair of real numbers (x, y). The x-coordinate is the first, and the y-coordinate is the second number. The intersection of two axes

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

Real Life Applications of Measure Theory

In mathematics, the concept of a measure is an extension and formalisation of geometrical measurements (such as length, area, and volume) and other common notions, such as mass and the probability of certain occurrences happening.  These seemingly unrelated ideas share a lot in common and are frequently capable of being discussed within the same mathematical

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

Real Life Applications of Archimedes Principle

Archimedes Principle states ‘The  oddly shaped items volume of  an  object that doesn’t can  be  submerged, and  the  volume  of  the  fluid displaced is identical to  the  extent of  the  item.’ Archimedes expected modern calculus and evaluation by way of applying the concept of the infinitely small and the approach of exhaustion to derive and

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