Lines and planes in space

Area of Rectangle

The word “area” comes from the Latin word “area,” which means “an unoccupied patch of level ground.” The irregular derivation of the area as “a particular quantity of space confined within the set of the limits” comes from the origin.  A rectangle is a quadrilateral with equal angles on all sides and equal and parallel […]

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

Area of Quadrilateral

A polygon is a plane figure defined by a closed polygonal chain composed of a finite number of straight line segments (or polygonal circuit). A polygon can be specified as a bounding circuit, a bounded plane region, or both. In this article we are going to discuss a special type of polygon which has four

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

Area of Polygon

A polygon is defined as a closed curve made up of only line segments is called a polygon. It is a closed 2-dimensional figure with two or more line segments. Polygon in Greek word ‘poly’ means many and ‘gon’ means angle. There are many different types of the polygon. The polygons are classified according to

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

Area of Parallelogram

The name “parallelogram” comes from the Greek word “parallelogrammon,” which means “bounded by parallel lines. A parallelogram is a quadrilateral with parallel lines on all sides as a result. It’s a shape with parallel and equal sides on both sides. Parallelograms are divided into three types: square, rectangle, and rhombus, each with its own set

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

Area of Hollow Cylinder

Hollow Cylinder is a three-dimensional Geometric Shape that is hollow from the inside. It is different from a Solid Cylinder in that, the Solid Cylinder is not hollow that is, the Solid Cylinder is made up of some mass or some material. The Solid Cylinder has one Radius as opposed to the two radii of

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

Area of Equilateral Triangle

The area of an equilateral triangle refers to the amount of space it occupies in a two-dimensional plane. A triangle with all sides equal and all angles measuring 60 degrees is called an equilateral triangle. The number of unit squares that would fit into any two-dimensional shape is known as its area. The term “unit”

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

Area Definition and Meaning

In mathematics, the two most essential features of two-dimensional forms are their area and perimeter. The perimeter of a shape indicates the distance between its boundaries, whereas the area of a shape describes the area occupied by the shape. Area and perimeter are significant topics in mathematics that are applied in many aspects of our

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

An Overview of Existence and Uniqueness Theorem

 Existence Theorem An existence theorem is said to be entirely theoretical in the field of mathematics if the proof that is provided for it does not imply the construction of the object whose existence is being stated.  A proof of this kind is not constructive because the overall strategy might not lend itself to construction

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

An Introduction to Locus of a Circle

Introduction: A curved planar figure is a circle. Every point on the given circle is equidistant from the centre of the circle, which is a fixed point. It’s a two-dimensional form with a radius measurement. The term “circle” comes from the Latin word “circulus,” which means “little ring.” The circle represents the state of stress

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

Alternate Interior Angles

Introduction: Definition of Interior Angle The angles formed on the opposite sides of the transversal can be called alternate interior angles. In other words, eight angles are generated when two parallel lines are intersected by a transversal. The alternate interior angles are the angles that are on the inner side of the parallel lines but

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