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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy
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Application +4 | -1
If f(x)=log⁡(1+x1−x),−1<x<1\mathbf{f}(\mathbf{x})=\log \left(\frac{1+\mathrm{x}}{1-\mathrm{x}}\right), \mathbf{- 1}<\mathbf{x}<\mathbf{1}, then f(3x+x31+3x2)−f(2x1+x2)\mathbf{f}\left(\frac{3 \mathrm{x}+\mathrm{x}^3}{1+3 \mathrm{x}^2}\right)-\mathrm{f}\left(\frac{2 \mathrm{x}}{1+\mathrm{x}^2}\right) is M\mathbf{M} f(x)f(x) then the value of MM is
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Correct option: A
1
Option A (1) is correct because simplifying the expression leads to M = 1.

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