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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by Miscellaneous CurvesEasy2 minQB

MathematicsEasynumerical

Find the area bounded by $x^{2} y - y^{3} - x^{2} + 5 y^{2} - 8 y + 4 = 0$ .

Options:

Answer:

1.00

Solution:

The equation factors as $(y - 1) [x^{2} - (y - 2)^{2}] = 0$ , giving the three lines $y = 1, x = y - 2, x = 2 - y$ . They enclose a triangle of base 2 and height 1, so the area is 1.

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

⏱ 2mℹ️ Source: QB

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