Discussion

Explanation:

As a, b and c are in continued proportion, 
 a/b = b/c 
⇒ b²  = ac 

Option (a): a²  : b² = a² : ac = a : c
∴ Option (a) is correct.

Option (b): (c² – b²) : (b² – a²) 
= (c² – ac) : (ac – a²)
= c(c - a) : a(c - a)
= a : c
∴ Option (b) is not correct.

Option (c): b² : c² = ac : c² = a : c
∴ Option (c) is correct.

Hence, option (d).

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