Describe the locus of a point which moves so that its perpendicular distance from a fixed straight

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Describe locus of point P which moves so that AB² = AP² + BP², where A and B are two fixed points

Describe the locus of the vertices of all isosceles triangles having BC as the fixed base.

Describe the locus of points inside a given circle which are equidistant from two fixed points

Describe the locus of a point which is equidistant from two fixed intersecting straight lines that

Describe the locus of the centres of all circles which touch two given intersecting straight lines

Describe the locus of the centres of all circles which pass through two given fixed points A and B

Describe the locus of a point which is equidistant from two fixed points A and B, where AB = 10 cm.