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Mathematics

P is a fixed point and a point Q moves such that the distance PQ is constant. What is the locus of the path traced out by the point Q?

Locus

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Answer

Given, P is a fixed point and Q is a moving point such that it is always at an equidistant from P.

∴ P is the centre of the path of Q which is a circle and distance PQ is the radius of the circle.

P is a fixed point and a point Q moves such that the distance PQ is constant. What is the locus of the path traced out by the point Q? Locus, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

Hence, the locus of point Q is a circle with P as centre.

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