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Question

The chords of congruent circles subtending equal angles at their centres are

A
sometimes equal under certain conditions
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B
unequal
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C
equal
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D
not related at all
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Solution

The correct option is D equal
GivenA&BaretwocongruentcircleswithchordsPQ&STrespectively.PQ&STsubtendequalanglestothecentreO.i.ePAQ=SBT.ToprovethatPQ=STProofWeknowthatcongruentcircleshaveequalradii.AP=AQ=BS=BT=r.So,betweenΔPAQ&ΔBSTwehaveAP=AQ=BS=BT=randPAQ=SBT.BySAStest,ΔPAQΔBSTPAQ=SBT.SothechordsPQ=ST.Q.E.D.AnsOptionC.
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