The locus of a point equidistant from three collinear points is:

The locus of a point equidistant from three collinear points is: Correct Answer the null set

Concept:

We Know, a curve or other figure formed by all the points satisfying a particular equation of the relation between coordinates, or by a point, line, or surface moving according to mathematically defined conditions.

 

Calculations:

Consider A, B , C are any three colinear points. A ,  B, C are at equidistant.

 

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There is no common point or line or surface moving according to mathematically defined conditions.

The locus of a point equidistant from three collinear points is null set.

 

Related Questions

How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of  metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is  metres to the east of point 'T'. Point 'M' is  metres to the east of point 'Z'. Point 'R' is  metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.