Lines and planes in space

Understanding Euclidean Geometry

The ancient Greek mathematician Euclid is credited with developing a mathematical system that is now known as Euclidean geometry. Euclid defined this method in his geometry textbook, which was titled the Elements. Euclid’s method involves starting with a relatively limited number of axioms that are intuitively appealing and then deducing a large number of further […]

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

Two-point form

In geometry, a line is a collection of points that can be stretched in two directions indefinitely. To put it another way, a line is formed by continually extending the two endpoints in any direction. The equation of a line in the coordinate plane can be expressed in two-point form. The equation of a line

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

Two-Dimensional Space

Two-dimensional space, sometimes referred to as 2D space, 2-space, or bi-dimensional space, is a geometric environment where an element’s location is determined by two values, or parameters (i.e., point). The most common illustration of a two-dimensional Euclidean space is the set of real number pairs with the required structure. See dimension for a generalisation of

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

Two Line Symmetry

Symmetry is the balanced and proportionate likeness between two sides of an object. To put it another way, one half is the inverse of the other. It is vital to comprehend the concept of symmetry line. When folding a heart shape paper, for example, the paper is folded from the centre to achieve perfect symmetry.

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

Two Intersecting plane

In geometry, a plane is a flat surface that extends infinitely in all directions. When two planes connect, a straight line is always formed. Non-parallel planes that cross in a straight line are called intersecting planes.    The intersection of the two planes can only be on one line.   Comparing the normal vectors of

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

Trigonometric Function – Domain and Range

Achieve your IIT dreams with Unacademy Enter your JEE Advanced Application Number Enter DOB Enter your Phone Number I agree to Unacademy’s Terms & Privacy Policy Submit Unacademy Aarambh 2024 – Biggest Event for IIT JEE and NEET UG Sin, cos, tan, cot, tan, cosec, and sec are the six trigonometric functions. The angle and

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

Triangles

A triangle can be defined as a three-sided polygon with three inner angles. It is one of the most fundamental forms in geometry, consisting of three vertices linked together and symbolized by the symbol △.  Types of Triangles The sides and angles of a triangle are used to classify it into several parts. Triangles may

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

Triangle Theorem

A triangle is a closed polygon having three sides, vertices and angles. PQR is the symbol for a triangle having three vertices, P, Q, and R. Signboards and sandwiches in the shape of a triangle are two of the most common instances of triangles. the definition of a triangle? A triangle is a three-sided closed

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

Triangle inequality

Introduction  Mathematics seems challenging sometimes, yet it is a fascinating subject. It’s just a matter of understanding it. This topic, triangle inequality, is a very basic chapter of geometry. However, this chapter includes the various basic concepts of geometrical formulas that might help you understand the concept of mathematics better.  This chapter also contains some

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