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How Will You Find a Point Equidistant from Three Given Points A, B, C Which Are Not in the Same Straight Line? - Mathematics

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प्रश्न

How will you find a point equidistant from three given points A, B, C which are not in the same straight line?

योग

उत्तर

(i) The locus of points equidistant from three given points A, B & C is the straight line PQ, which bisects AB at right angles.

(ii) Similarly, the locus of points equidistant from B and C is the straight line RS which bisects BC at right angles.
Hence, the point common to PQ and RS must satisfy both conditions; that is to say, X the point of intersection of PQ and RS will be equidistant from A, B and C.

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अध्याय 14: Loci (Locus and its Constructions) - Figure Based Questions

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आईसीएसई Mathematics [English] Class 10
अध्याय 14 Loci (Locus and its Constructions)
Figure Based Questions | Q 23

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