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Which statement is correct for the locus shown in the figure below?

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Which statement is correct for the locus shown in the figure below?

(a) A point P moving in a plane about another point in such a way that its distance is constant

(b) A point P moving in a plane about a fixed line as an arc with same centre

(c) A point P moving in a plane about another point in such a way that its distance from a fixed line AB is constant

(d) A point equidistant from two fixed non-parallel lines AB and CD in the same plane

I had been asked this question in an international level competition.

I need to ask this question from Loci of Points topic in chapter Lettering Practice, Scales & Curves of Civil Engineering Drawing

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Correct choice is (b) A point P moving in a plane about a fixed line as an arc with same centre

The explanation: As per arc postulate regarding locus it is stated as: When the fixed line is an arc of a circle, the locus will be another arc drawn through same centre. Here fixed line is an arc AB and the locus drawn is an arc representing the circumference, produced due to point P.

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