ASK for IIT JEE MATHEMETICS

[latexpage]\[5. If A denotes the sum of all the coefficients in the expansion of (1-3x+10x^2 )^n and B denotes the sum of all the coefficients in the expansion of (1+x^2 )^n,\]

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Ans. (1)

Sol. Sum of coefficients in the expansion of

[latexpage]
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The product of all solutions of the equation \[ e^{5(\log_e{x})^2 + 3} = x^8, \quad x > 0 \] is: \begin{enumerate} \item \( e^{\frac{8}{5}} \) \item \( e^{\frac{6}{5}} \) \item \( e^{2} \) \item \( e \) \end{enumerate}
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