Lines and planes in space

A line that approaches zero as one or both of the x and y coordinates approaches infinity are known as an asymptote of a curve in analytic geometry. An asymptote of a curve is a line that is tangent to the curve at infinity in projective geometry and related contexts. In general, we will be […]

A quadratic (order 2) polynomial defines a “quadric surface,” which is an algebraic surface. In R3 (common 3-dimensional Euclidean space), non-degenerate quadrics are classified as ellipsoids, paraboloids, or hyperboloids. Most kinds of quadric, including degenerate examples, are represented in our collection.  Curves of Degree 2 Let’s start with the two-dimensional equivalent of quadric surfaces: degree

Geometrical mathematics revolves around the surface area and volume definitions. The concept of propositions of hyperbola forms an integral part of mathematics as well as physics. The concept tries to derive relationships between various variables that are often used in physics and maths. This article explores the propositions of a hyperbola meaning and propositions of

Add Your Registration Details For JEE Main 2024 Enter DOB Select CityAhmedabadAligarhBangaloreBhopalBhubaneswarBikanerChandigarhChennaiDehradunDelhiGorakhpurGwaliorHyderabadIndoreJaipurJammuKanpurKolhapurKolkataKotaLucknowLudhianaMeerutMuzaffarpurNagpurNashikNoidaPanchkulaPatnaPrayagrajPuneRaipurRanchiRohtakSikarSrinagarSuratTirupatiVaranasiVijayawadaVizagOther City I agree to Unacademy’s Terms & Privacy Policy Submit Predict Your JEE Main Rank Here Thales, a Greek mathematician, was the first to formulate the Fundamental Proportionality Theorem. As a result, it is sometimes referred to as the Thales Theorem. Thales was

The Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some algebraic structures, such as ordered or normed groups and fields, in abstract algebra and analysis. Given two positive numbers x and y, the property asserts that there exists an integer n such that nx > y. It

Parallel lines are encountered in everyday life; for example, we notice parallel lines on railway tracks, zebra crossings, stairs, walls, window linings, lines on notebook pages, and so forth. If two lines are drawn on the same plane, they are considered to be parallel. Let’s have a look at parallel lines and their attributes. Parallel

Coordinates of centroid means centre of a closed figure or geometric centre of a plane figure described by coordinates. Here,  we have  seen two words: coordinates and centroid. Coordinates are the numbers which describe the position of a point in a particular space. The meaning of centroid is the centre of a closed figure e.g.

The sides and angles of a triangle must follow certain rules to construct a triangle of accurate measure. And that is why there is a need to understand the mandatory conditions that apply to the sides and angles of a triangle. Once we are acquainted with these properties, it will help us in figuring out

In mathematical terms, the word “projection” means “The representation of a figure or solid on a plane as it would look from a particular direction.” There are several types of projections in terms of line segments and points. The two specific types are the projection of a point on a line and the projection of

Plane is an important topic in 3D Geometry. It is defined when the normal to it and distance to it from the origin are known or when the normal to it and the point lying on it are known, or when it passes through three points that are non-collinear in nature. There are many points