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Chords which are ___________ from the centre are equal.(a) unequal(b) equidistant(c) one third(d) two thirdI had been asked this question in an internship interview.Origin of the question is Loci of Points topic in portion Lettering Practice, Scales & Curves of Civil Engineering Drawing

Answer»

Correct OPTION is (b) equidistant

Explanation: In the figure below, for ∆’s AOM and CON

OM = ON(to prove)

OA = OC(radii of the same circle)

AM = CN OR 2AM = 2 CN(since OM ON are perpendicular to the chords and it bisects the chord and AM = MB, CN = ND)

Angle AMO and CNO = 90°

∆AOM SIMILAR to ∆CON(R.H.S rule)

 OM = ON (CPCT)(required).



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