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MathsMediumMCQ2021 ยท 26 Feb Shift 1

Q64.The maximum value of the term independent of t in the expansion of (tx (1) 10! (2) 10! โˆš3(5!)2 3(5!)2 (3) 2.10! (4) 2.10! 3โˆš3(5!)2 3(5!)2

What This Question Tests

The question requires finding the term independent of 't' in a binomial expansion, which involves setting the power of 't' to zero, and then maximizing this term with respect to 'x'.

Concepts Tested

Binomial theoremGeneral term of binomial expansionFinding term independent of a variableMaximizing a function

Formulas Used

T_{r+1} = nCr * a^(n-r) * b^r

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