Lines and planes in space

Brief Discussion on Conic Section

The curves formed by the intersection of a plane with a cone are known as conic sections or cone sections. A cone or conic section has three principal sections: parabola, hyperbola, and ellipse (the circle is a special kind of ellipse). The conic portions are made using a cone with two identical nappes. Although the […]

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

Brief Discussion on Parallel Lines

Parallel lines are defined as two or more lines that reside in the same plane but never intersect. They are exactly the same distance apart and have the same slope.  Parallel lines in geometry are the lines which do not cross at any point or intersect each other. Curves that do not touch or intersect

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

Calculating mode of grouped and ungrouped data

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 Predict Your JEE Main Rank Here To analyse a large group of data, we use statistical tools. Mean median and mode are important statistical tools that are used

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

Calculating Moment Of Inertia

Establishing the location of the X, Y, and Z axes is the first step in calculating the moment of inertia for a mass. How carefully the axes are defined will have a significant impact on the accuracy of the calculations (and the measurements used to validate the calculations). These axes can theoretically be located anywhere

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

Cartesian Plane

The cartesian coordinate system includes a two-dimensional plane called the Cartesian Plane. Rene Descartes designed the cartesian plane in the 17th century. A cartesian plane’s most essential property is that it connects two branches of mathematics: Euclidean Geometry and Algebra. Numerical coordinates can be used to specify any point on a cartesian plane. An ordered

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

Cartesian system

Cartesian System  “Algebra” and “Geometry” were the two main branches of ancient mathematics. Geometry did not use algebraic equations, and algebra did not use geometric figures either. For the first time, René Descartes, the great French mathematician, connected these two schools of thought. In order to better explain both geometry and algebra, he developed the

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

Centroid

The centroid is the geometric centre of a two-dimensional plane surface in mathematics. It’s a point that’s found by calculating the arithmetic mean of all the points on a plane surface. It is defined as the average of all the points in the planar figure if not otherwise specified. For several geometrical shapes, the centroid

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

Centroid of The Triangle

A triangle is a closed figure with three sides, three vertices, and three angles. △ PQR is the symbol for a triangle having three vertices, P, Q, and R. The most popular examples of triangles are triangle-shaped signboards and triangle-shaped sandwiches. A triangle is a three-sided polygon with three inner angles. It is one of

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

Circle, conic sections

Introduction Conic sections play a crucial role in the study of geometry. According to how the plane intersects the right circular cone, different types of conic sections can be identified in mathematics.  Conic Sections The term “conic” refers to a curve formed when a right circular cone is intersected by a plane. In Euclidean geometry,

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