Lines and planes in space

Planes

In the field of geometry, a plane is defined as a level surface that goes on forever.  A two-dimensional surface is another name for this type of surface.  A plane is characterised by its absence of thickness and curvature as well as its infinite breadth and length.  It is difficult to conceptualise a plane being […]

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

Plane

When it comes to mathematics, a plane is a flat, two-dimensional surface that can be extended indefinitely. It is possible for a plane to be composed of a point, a line, and three-dimensional space; however, this is not the case. It is possible for planes to seem as subspaces of a few higher-dimensional spaces, such

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

Perimeter of parallelogram

The length of the continuous line formed by the parallelogram’s boundary is the perimeter of the parallelogram. Each of its sides has a unit that is the same as its unit. A quadrilateral is a closed shape made up of four-line segments that are connected together. If the opposite sides of a quadrilateral are parallel

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

Parts Circle

A circle is made up of many different parts, each of which contributes to its overall shape. A circle is a 2D shape that is measured in terms of the radius of its circumference. The word ‘Circle’ comes from the Greek word ‘kirkos,’ which literally translates as ‘ring’ or ‘hoop.’ The radius, diameter, circumference, and

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

Parametric Equations

In a cartesian plane, various equations are represented in simple algebraic form or using various complex functions like logarithmic, trigonometric, and much more. The parametric equations consist of various dependent variables and an independent variable represented using trigonometry. This helps solve these equations easily as the relationship between various variables is reflected. This study material

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

Parallelogram-Trapezium Kite

When two of the sides of a quadrilateral are parallel, the result is a parallelogram. A parallelogram has equal sides and angles on its opposite sides and angles on its opposite angles. The area of a parallelogram is determined by the length of its base and the height of its height. You can see in

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

Parallel lines transversals angle

According to geometry, lines can be divided into several categories such as parallel, perpendicular, intersecting, and non-intersecting lines, among others. If we have two lines that do not intersect, we can draw a special line called a transversal that crosses both lines at different points. Parallel lines A pair of lines is said to be

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

Parallel lines and perpendicular lines

In this parallel and perpendicular lines study material, we will see what makes the parallel lines and perpendicular lines different and how to calculate the equations. Two lines lying on the same plane represent parallel lines when they never cross. Two parallel lines have the same slope. The only distinction between them is their y-intercept.

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

Pairs of Straight Lines: An Introduction

Which stream to choose after 10th? A straight line, often known as a line, is a one-dimensional infinite geometry having no width but just length. There are an endless number of points in a straight line. A two-variable linear equation is used to represent a straight line. A pair of straight lines is represented by

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