If x = _ n=0 ^ a^ n , y = _ n=0 ^ b^ n , z = _ n=0 ^ c^ n , where a, b, c are in A.P. and |a| < 1, |b| < 1, |c| < 1, abc 0, then :

JEE Main 2022 Mathematics question

If , , , where a, b, c are in A.P. and |a| < 1, |b| < 1, |c| < 1, abc , then :

Answer: (3)

x = 1/(1 − a), y = 1/(1 − b) and z = 1/(1 − c). Since a, b, c are in A.P., so

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Question ID VK-034598