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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by Miscellaneous CurvesMedium2 minQB

MathematicsMediumsingle choice

Inside the equilateral triangle with vertices $A (0, 0), B (2, 23), C (4, 0)$ , a point $P$ traces the locus $min (P A, PB, PC) = 2$ . Find the enclosed area.

Options:

Answer:

Solution:

The locus bounds the portion of the triangle outside three sectors of radius 2 and total angle $π$ . Its area is $43 - \frac{1}{2} (2^{2}) π =$ $43 - 2 π$ .

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

⏱ 2mℹ️ Source: QB

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