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JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1
The domain of definition of the functions y(x)y(x) given by the equation ax+ay=a(a>1)a^{\mathrm{x}}+a^y=a(a > 1) is
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Correct option: C
βˆ’βˆž<x<1-\infty < x < 1
Option C (βˆ’βˆž<x<1-\infty < x < 1) is correct because the domain is restricted by the logarithm, requiring 1βˆ’axβˆ’1>01 - a^{x-1} > 0, which leads to x<1x < 1.

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