INTRODUCTION The locus of a point is the path traced by the point when moving in accordance with a definite rule. In other words, it is all the positions occupied by a point moving according to a given law.
The locus of points equidistance from a fixed point is called a circle. While the locus of points equidistant from two fixed points is a straight line.
CONIC SECTIONS The conic sections are the shapes which result when a cone is cut from different positions as shown in the figure.
The conic sections are triangle, circle, ellipse, parabola and hyperbola.
Section X – X is triangle, Y – Y is circle, Z – Z is ellipse V – V parabola while W –W is hyperbola
ELLIPSE The ellipse is a plane figure bounded by a curved line called circumference. Its longest diameter is called major axis while its shortest diameter is the minor axis. The two axes bisect each other at right angles. The ellipse is symmetrical about the axes.
It can also be defined as the locus of points which moves such that the sum of the distance from two fixed point is constant.
The area of an ellipse is given by πab, where “a” is the longest radius and “b” is the shortest radius. The solid formed by rotating an ellipse about an axis is called Ellipsoid.
To draw an ellipse by the rectangle method
Given: Major axis = 100 mm, minor = 60 mm
Procedure: Draw the given rectangle ABCD with AB = major axis = 100 mm, BC = minor axis = 60 mm.
