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The locus of point P moving such that the ratio of the lengths of consecutive distances from point O enclosing equal angles is always constant is_________________

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The locus of point P moving such that the ratio of the lengths of consecutive distances from point O enclosing equal angles is always constant is_________________

(a) archimedean spiral

(b) logarithmic spiral

(c) a parabola

(d) a circle

I got this question in an online interview.

My doubt is from Loci of Points by Different Methods topic in division Loci of Points & Orthographic Projections of Engineering Drawing

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Correct choice is (b) logarithmic spiral

The best explanation: The distance from the P to O that is pole is called radius vector. The values of vectorial angles are in arithmetic progression and the corresponding values of radius vectors are in geometrical progression.

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