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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1
If 0<a<1,0 < a < 1, then the solution set of the inequation 1+(log⁡ax)21+(log⁡ax)>1,\frac{{1 + {{\left( {{{\log }_a}x} \right)}^2}}}{{1 + \left( {{{\log }_a}x} \right)}} > 1, is
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Correct option: C
(1,  1/a)∪(0,a)\left( {1,\;1/a} \right) \cup \left( {0,a} \right)
Option C ((1,  1/a)∪(0,a)\left( {1,\;1/a} \right) \cup \left( {0,a} \right)) is correct because solving the logarithmic inequality results in two intervals for x: (1, 1/a) and (0, a).

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