Converted to real ellipse equation of ellipse in complex form
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Equation of Circle can be understood as a locus of a point which is at a constant distance from a specific point.
Since, we know that Complex number could be understood as a Vector,
Therefore,
Let ZZ be a variable complex no. and aa be the centre of the Circle, then by the definition, the equation of circle is,
|Z−a|=r|Z−a|=r where rr is the radius of the circle.
Equation of an Ellipse can be understood as a locus of a point whose sum of distance from two fixed points is constant.
Similarly, Let us assume two such points as a1a1 and a2a2, Therefore, the equation of the ellipse is,
|Z−a1|+|Z−a2|=r|Z−a1|+|Z−a2|=r where rr is the length of the major axis
Since, we know that Complex number could be understood as a Vector,
Therefore,
Let ZZ be a variable complex no. and aa be the centre of the Circle, then by the definition, the equation of circle is,
|Z−a|=r|Z−a|=r where rr is the radius of the circle.
Equation of an Ellipse can be understood as a locus of a point whose sum of distance from two fixed points is constant.
Similarly, Let us assume two such points as a1a1 and a2a2, Therefore, the equation of the ellipse is,
|Z−a1|+|Z−a2|=r|Z−a1|+|Z−a2|=r where rr is the length of the major axis
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