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Most Important Selected Qs for JEE AdvancedMathematicsBinomial Theorem

Let x be the 7^ th term from the beginning and y be the 7^ th term from the end in the expression of (3^ 1 / 3 + 1 4^ 1 / 3 ) . If x y = 1 12 then the value of n is .

Correct answer

9

Step-by-step solution

x= ^n C₆ (3^ 1 / 3 )^ n-6 (4^ -1 / 3 )^6y= ^n C_ n-6 (3^ 1 / 3 )^6 (4^ -1 / 3 )^ x-6 and x y = 1 12 (12)^ n-12 / 3 =(12)⁻¹ n=9

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