Lines and planes in space

Alternate Angles

When parallel lines are cut by a transversal, alternate angles are generated. They have different vertices and are on the opposite side of the transversal. When a transversal cuts two straight lines, the angles created on the transversal’s opposite side with respect to both lines are known as alternative angles. As a result, it’s the […]

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

All About General Form of the Equation of a Circle

In maths or geometry, a circle is a two-dimensional shape described as a locus of points equidistant from a fixed point known as the circle’s centre. A circle is just a round-shaped figure with no sides or edges in mathematics. This article will introduce you to the mathematical sections of a circle and its numerous

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

A Study on Tangents

The verb “to touch” is referred to as “tangent.” The same concept is expressed using the Latin word “tangere.” In general, we can say that a tangent is the line that intersects the circle exactly at one point on its circumference but does not enter the circle anywhere inside of it. Tangents can branch off

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

A Simple Note on Displacement Vector

We are all familiar with graphs; we know how to draw a line from the origin to the other end until we reach our destination. All of these needs are accomplished through the use of the coordinate system. As a result, the point at which our line marked by an arrow comes to an end

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

A Introduction to Circle

In the fields of mathematics and geometry, a circle is a special type of ellipse that has an eccentricity of zero and two foci that are coinciding with one another. One definition of a circle describes it as the locus of points drawn at equal distances from the centre of the circle. The radius of

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

A Deep Guide on Ellipse

When a plane slices the cone at an angle with the bottom, the ellipse is one of the conic sections that results. A circle is formed when the cone is intersected by a plane parallel to the bottom. The set of all points where the sum of the distances between two fixed points is constant

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

Application of Co-ordinate Geometry

Every location on this globe has coordinates that make it simple for us to find it on a map. Our planet’s coordinate system is made up of fictitious lines known as latitudes and longitudes. The beginning points of this coordinate system are zero degrees of “Greenwich Longitude” and zero degrees of “Equator Latitude.” We have

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

A Synopsis on Change of Axes

Changes made to the shapes on a coordinate plane, whether by rotation, reflection, or translation, are considered to be transformations. Felix Klein put up a novel approach to the study of geometry in the 19th century that came to be known as transformational geometry. In geometry, the majority of the proofs are dependent on the

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

Apollonius Theorem

In mathematics, theorems are claims that have been proven based on previously established statements, such as theorems, or statements that are widely accepted, such as axioms. Theorems are mathematical results obtained from a collection of axioms that have been proven to be correct. Some mathematical axioms are called mathematical logic, but only when systems are

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