Lines and planes in space

General Definition of Ellipse

Ellipse is an individual from the conic area with highlights equivalent to a circle. An ellipse, aside from a circle, has an oval structure. An ellipse involves a set of foci with lengths under the same and the number of their spans from the ellipse’s two foci. The design resembles an egg in two ways […]

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

Exterior angles of the polygon

Geometry is a branch of mathematics that studies the shapes, angles, dimensions, and sizes of a wide variety of everyday things. Geometry is made up of two Ancient Greek words: ‘geo,’ which means ‘Earth,’ and ’metron,’ which means ‘measurement.’ Euclidean geometry distinguishes between two- and three-dimensional shapes. Triangles, squares, rectangles, and circles are examples of

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

Exploring Midpoint Theorem

A significant area of mathematics called geometry deals with various figures and shapes. The mid-point theorem directs attention to the midpoints of triangles, which are significant geometric figures. The line segment connecting the midpoints of two triangle sides is parallel to and makes up half of the third side, according to this theorem. Mid-point Theorem:

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

Exploring Collinearity of Three Points

Points that sit on the same straight line are known as collinear points. They don’t have to be coplanar, but they do have to be on the same straight line. Collinear comes from the Latin terms ‘col’ and ‘linear,’ where ‘col’ means together and ‘linear’ means in the same line. A point on a plane

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

Euclidean Geometry

The study of geometrical shapes (plane and solid) and figures based on various axioms and theorems is known as Euclidean geometry. It is primarily intended for use on flat or plane surfaces. Geometry is derived from the Greek terms ‘geo’ (meaning earth) and ’metrein’ (meaning ‘to measure’). The shapes of geometrical objects and planes are

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

Euclidean distance

Euclidean geometry is a mathematical system credited to ancient Greek mathematician Euclid and documented in his classic ‘The Elements’. Euclid’s method entails starting with a limited collection of intuitively acceptable axioms and deducing a large number of other propositions (theorems) from them. Although many of Euclid’s findings were already known, he was the first to

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

Equilateral Triangle

An equilateral triangle is a triangle with the identical length of all three sides in geometry. An equilateral triangle is also equiangular in Euclidean geometry, which means that all three internal angles are congruent and each angle is 60 degrees. It is also known as a regular triangle since it is a regular polygon. Equal

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

Equations of the Bisectors of the Angles Between Two Straight Lines

A ray, segment, or line that divides a given angle into two equal angles is known as an angle bisector. The term bisector describes the division of a single object into two equal halves. A line or ray is used to divide a triangle and an angle in geometry, and this is known as an

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

Equations of Conic Sections

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