Lines and planes in space

Equations Of Circles

A circle is a two-dimensional figure made up of points next to one another and distanced equally from a fixed point. The centre of the circle is the fixed point in this curved plane figure, while the radius is the common distance between the points from the centre. A diameter is a line that crosses […]

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

Equations of a line and a plane in different forms

Terms used in the concept of the Equation of a line or a plane Slope – Slope is the measure of steepness or gradient of a line or a plane. It is represented by “m,” and its formula is m=y1-y2x1-x2 or tan, where is the angle between the line and the x-axis.  Positive/negative/zero slope –

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

Equation of plane and line

INTRODUCTION A straight line has only one dimension without any breath. When there is no turning point in between two points then it’s called a straight line. In other words we can say that the shortest distance between two points is known as a straight line. In this topic we learn the concepts of lines

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

Circumcentre of a triangle

Introduction The perpendicular bisectors pass through the midpoint of the edge and form a right angle (90°) at mid-point. Now, as the triangle contains three edges and is cyclic in nature, it can easily circumscribe a circle, which leads to a circumcentre of a triangle. It is not necessary to draw all the perpendiculars to

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

Centroid of a Triangle

The point of concurrence of all the three medians is simply known as the centroid of that triangle. In order to understand centroid, we will first go through the concept of median. Median is simply a line segment which is drawn from any vertex of a triangle to the midpoint of the opposite side of

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

Area Triangle Coordinate Geometry

Coordinate geometry is the study of geometry by looking at the coordinate points on the plane at any length. coordinate geometry is used to find the distance between two points, divide lines into ratios, find the midpoint of a line, figure out the area of a triangle, and more. You can use many different ways

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

Area Segment Circle

A sector is formed by an arc and two of a circle’s radii. Together, these two radii plus the segment’s chord form a triangle. Thus, the area of a circle segment is determined by subtracting the triangle’s area from the sector’s area. A segment of a circle is the region enclosed by the circle’s arc

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

Area of Trapezium

Mensuration is a discipline of mathematics that studies geometric shapes, their area, volume, and other associated properties. A trapezium is a kind of quadrilateral in which two of its sides are parallel and two are non-parallel. The two parallel sides of a trapezium are known as base. And (h) is considered to be the height/

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