Definition, Formula, Solved Example Problems, Exercise | Mathematics - Locus | 11th Business Mathematics and Statistics(EMS) : Chapter 3 : Analytical Geometry
Chapter: 11th Business Mathematics and Statistics(EMS) : Chapter 3 : Analytical Geometry
Locus
The path traced by a moving point under some specified geometrical condition is called its locus.
Locus
Definition 3.1
The path traced by a moving point under some specified geometrical condition is called its locus.
For example,
i. The locus of a point P ( x1, y1) whose distance from a fixed point C(h, k) is constant, is a circle. The fixed point ‘C’ is called the centre.
ii. The locus of a point whose distances from two points A and B are equal is the perpendicular bisector of the line segment AB.
Definition 3.1
The path traced by a moving point under some specified geometrical condition is called its locus.
1. Equation of a locus
Any relation in x and y which is satisfied by every point on the locus is called the equation of the locus.For example,
i. The locus of a point P ( x1, y1) whose distance from a fixed point C(h, k) is constant, is a circle. The fixed point ‘C’ is called the centre.
ii. The locus of a point whose distances from two points A and B are equal is the perpendicular bisector of the line segment AB.
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11th Business Mathematics and Statistics(EMS) : Chapter 3 : Analytical Geometry : Locus | Definition, Formula, Solved Example Problems, Exercise | Mathematics
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11th Business Mathematics and Statistics(EMS) : Chapter 3 : Analytical Geometry