Lines and planes in space

Latus Rectum of an Ellipse

A conic section is a curve created by the intersection of a cone’s surface with a plane in mathematics. There are three different types of conic sections. The parabola, ellipse, and hyperbola are the three types of curves. Many terms, such as focus, directrix, latus rectum, locus, asymptote, and so on, are used to describe […]

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

Isosceles Triangle Theorems

An isosceles triangle has two sides of equal length and a third of varying length. In mathematics, the isosceles triangle theorem says that the angles opposite the equal sides of an isosceles triangle are also equal in measurement. This article will cover the isosceles triangle theorem and its converse. Isosceles Triangle Theorems According to the

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

Isosceles Triangle

Triangles are polygons, which are enclosed on the three sides. It is known that triangles can be classified into three different types. They are Equilateral triangles, Isosceles triangles, and Scalene triangles.  These types have a very minimal difference, in terms of equality of the sides.  Equilateral Triangles have all equitable sides, measuring the same Isosceles

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

Isometric Sketch

A technique for graphically displaying three-dimensional things, commonly referred to as isometric projection, is used by engineers, technical illustrators, and, on occasion, architects to represent three-dimensional objects. Aiming to combine the illusion of depth provided by perspective rendering with an undistorted presentation of the object’s basic dimensions—that is, those that are parallel to a given

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

Introduction To Skew Lines

Definition of Skew Lines  Skew lines are a pair of lines that do not cross and are not parallel to each other but are otherwise similar. Skew lines can only exist in three-dimensional space; they cannot exist in two-dimensional space. They must be non-coplanar, which means that lines of the same kind must exist in

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

Interval Notation

Interval notation is a manner of expressing a subset of actual numbers through the numbers that ensure them. We can use this notation to symbolize inequalities. We realize an interval expressed as 1 < x < 5 denotes a hard and fast numbers mendacity among 1 and 5. Examples of Interval Notation Suppose we need

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

Intersection Of Two Lines

At most, only one point of intersection can be found between two separate lines. In order to locate the point where two lines meet, we require the general form of the two equations, which is represented by the notation a1x + b1y + c1 = 0 and a2x + b2y + c2= 0 respectively. If

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

Intersection of a Straight Line and a Plane

The intersection of a straight line and plane focuses on the relation between line and plane equations in a three-dimensional coordinate system. The intersection of a straight line and a plane aids in understanding equation intersections in R2 to R3. In a three dimensional space, an intersection can be: An empty set  A point  A

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

Intersection of a line and a plane

What Does The Term “Intersecting Lines” Mean? When two or more lines intersect in a plane, “intersecting lines” are used. It is called the junction point because the intersecting lines have a common point present in all of them. When two lines P and Q connect, a point called the intersection of a line and

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