Answer :

Here, Clearly I and III are correct.


Let us check for II statement



Construction: Let B and C be the centers of two circles having radii 10cm and 17 cm respectively and let AD be the common chord cutting BC at E.


Here,


AE = ED = 8cm


Now, in ΔABE


BE2 = AB2 – AE2


BE2 = (10)2 – (8)2


BE2 = 100– 64 = 36


BE = 6cm


Now, in ΔAEC


EC2 = AC2 – AE2


EC2 = (17)2 – (8)2


EC2 = 289– 64 = 225


EC = 25cm


Here,


BC = BE + EC = 6 + 15 = 21cm


But, it is given BC = 23cm


Statement II is false

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