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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by Miscellaneous CurvesHard2 minQB

MathematicsHardsingle choice

Find the area of the region $lo g_{2} (lo g_{y} x) > 0$ with $1/2 < x < 2$ .

Options:

Answer:

Solution:

The inequality is $lo g_{y} x > 1$ . For $0 < y < 1$ this gives $x < y$ ; for $y > 1$ it gives $x > y$ . Integrating the two regions inside $1/2 < x < 2$ gives $1/8 + 1/2 = 5/8$ .

Stream:JEESubject:MathematicsTopic:Area Under CurvesSubtopic:Area bounded by Miscellaneous Curves

⏱ 2mℹ️ Source: QB

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