Lines and planes in space

Surface Area And Volume Definitions

We interact with different objects of different shapes; it is essential to know their surface area and volume definitions. The surface area and volume give us an idea about the shape and size of the object. The surface area mainly gives us information about the total area in the space covered by the object. The […]

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

Straight lines in 3D

A straight line is a line with infinite length without any width and curves on it. A simple, straight line on a plane has an equation: y=mx+c Here the slope of the line is represented by m. A straight line in 3D can be exclusively determined only if it flows through two known points or

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

Steps to Find Image of Point in a Plane

The study of geometric figures using coordinate axes is known as coordinate geometry. Polygons, ellipses, straight lines, hyperbolas, curves, and circles can all be readily drawn and scaled in the coordinate axes. Moreover, using the coordinate system to work algebraically and examine the attributes of geometric figures is referred to as coordinate geometry. Let’s discuss

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

Square pyramid

A pyramid is a polyhedron with a base and three or more triangular faces that meet above the base at a point (the apex). A square pyramid, sometimes known as a pentahedron, is a three-dimensional object with five faces. The Great Pyramid of Giza is a well-known example of such a pyramid in real life. 

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

Square prism

A prism is a three-dimensional solid made up of two congruent, parallel bases that are linked by flat sides. The shape of a prism’s parallel bases gives it its name, hence a square prism has two congruent, parallel, square bases. A rectangular prism, on the other hand, has two rectangular bases that are congruent and

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

Square and Rhombus

You must have learned about many figures of various shapes and sizes in Geometry. Squares and rhombuses are two of them, which you must have learned in elementary school. In terms of diagonals, length, forms, and angles, both square and rhombus share some similarities and some variances. Because they belong to the same category as

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

Square and Rectangle

We learned about squares, rectangles, cubes, cones, cylinders, parallelograms, rhombuses, and other shapes in Geometry. All of these shapes can be divided into two categories: two-dimensional shapes and three-dimensional shapes. A few traits may be found in all of the shapes. However, they have a variety of distinguishing qualities that set them apart from one

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

Solved Problems On Ellipse

The ellipse concept is a simple concept that can get learned with some simple ideas. Here, we will see some formulas related to the problems with the ellipse. And see how easily it can get solved. The ellipse word refers to the locus of the point in the present plane so that the distance sum

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

Solved examples of the System of Equations

System of equations:  A system of equations is a collection of equations that are connected in such a way that they have a common solution. They are particularly useful in analysing situations where the solution depends on multiple factors. For example consider the system of linear equations, 2x + 3y = 13 and 3x +

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