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Vikram Bhati

· started a discussion

· 1 Months ago

somthing missing (Question:646791.0)

I think It should be (O'B)sq = (O'N)sq + (BN)sq instead of (OB)sq =(O'N)sq + (BN)sq.

Question:
Two circles of radius 4cm and 6cm touch each other internally. Find the longest chord of the bigger circle which is outside of the smaller circle?
Options:
A) 8√2 cm
B) 4 √2 cm
C) 6 √2 cm
D) 3√2 cm
Solution:

OM = 4cm = radius of smaller circle and O’M = 6cm = radius of bigger circle

∴ O’N = 8 – 6 = 2cm

in ∆O’NB,

 

(O'B)2 = (O’N) 2 + (BN) 2

⇒ (BN)2 = 36 – 4 = 32

⇒ BN = 4√2

∴ NC = BN = 4√2

∴ BC = 4√2 + 4√2 = 8√2cm

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