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The locus of a point P about another point O such that its distance from O is constant is ________

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The locus of a point P about another point O such that its distance from O is constant is ________

(a) a line passing through O

(b) two parallel lines equidistant from O

(c) a circle with center O

(d) a curve with O in it

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The correct option is (c) a circle with center O

To explain I would say: Since in the circle the distance from any point P on it to centre O is equal which is called radius of that circle. The compass is built based on this locus concept in drawing circles.

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