In the expansion of ( [3] 4 + 1 [4] 6 )^ 20 ,

JEE Advanced Mathematics question

In the expansion of ,

Answer: (C)

={}^{20} ={}^{20} ={}^{20} , 0 r20 .

By unique factorisation, ( rational) is rational iff and are both integers. So is rational iff -

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Question ID VK-108359