Question
Download Solution PDFThe area of the region bounded by the ellipse
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation
The given equation of the ellipse,
the standard form of ellipse is given by
by comparing we get,
a = 4 and b = 3
It can be observed that the ellipse is symmetrical about x-axis and y-axis.
Area bounded by ellipse = 4 × Area of OAB
Area of OAB =
=
=
=
=
=
=
Therefore, area bounded by the ellipse = 4 × 3π = 12π units
Hence option 1 is correct
Last updated on Jul 3, 2025
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