Lines and planes in space

Concurrent lines

The set of lines that intersect at a common point is known as concurrent lines. To qualify as concurrent lines, three or more lines must meet at a single place. Only lines can be concurrent; rays and line segments cannot be concurrent since they do not always meet at the same spot. A point can […]

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

Concurrent Lines and Point of Concurrency

Concurrent lines are three or more lines that pass through the same point in a plane. A point of intersection is formed when two non-parallel lines cross each other. These three lines are considered to be concurrent when another line passes through the point of junction formed by the first two lines. The “Place of

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

Concurrent Lines and Point of Concurrency

Concurrent lines are three or more lines that pass through the same point in a plane. A point of intersection is formed when two non-parallel lines cross each other. These three lines are considered to be concurrent when another line passes through the point of junction formed by the first two lines. The “Place of

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

Concurrent Lines Definition

It is well understood that two non-parallel lines cross at one location. Concurrent lines are generated when two straight lines cross at one common point or if a third line is formed going through one common point. The term “concurrent” refers to something that happens at the same time or at the same location. When

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

Concurrent Lines Formula and Condition for three lines to be Concurrent

Three or more lines in a plane that go through the same point are called concurrent lines. A point of intersection is formed whenever two non-parallel lines meet. These three lines are considered to be concurrent when a third line likewise passes through the point of junction formed by the first two lines. For instance,

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

Congruence of triangles

If all three sides of two triangles are identical in size and all three angles are equal in size, they are said to be congruent. To make these triangles seem the same, they can be moved around, rotated, flipped, and turned. If they’re corrected, they’ll line up. Triangles with the same sides and angles are

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

Congruence RHS and SSS

R.H.S. and S.S.S. Congruency rule The measurements of the sides and angles of the triangles determine congruence between them. There are a few ways that can be used to verify whether any two given triangles are congruent or not. The congruence of triangles defines the given triangle and the mirror image of the triangle. The

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

Conic Section of Parabola, Ellipse and Hyperbola

A conic section (or simply conic) is a curve formed by the intersection of the surface of a cone with a plane in mathematics. The hyperbola, parabola, and ellipse are the three forms of conic sections; the circle is a special case of the ellipse, though it was sometimes considered a fourth type. Conic sections

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

Conic sections

Generation of Conics: An Introduction Conic sections in mathematics are the curves obtained as a result of the intersection of one of the surfaces of a cone with another plane surface. These sections differ in their properties. A cone has two identical shaped parts that we usually refer to as the cone itself. These parts are

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