Answer:
Let
ABC be the isosceles triangle inscribed in the ellipse.
?..
(1)
Let
A = (x, y)
A
= Area of
(Using
(1))
=
(a + x)3
3(a ? x) =
a + x (a + x 0)
3a ? 3x = a
+ x
2a = 4x
Now
[3(a
? x) 2 (a + x) + 3 (a + x)2 (?1) ? 3(a + x)2]
Area of is maximum
when x = a/2
Max.
Area
square
units.
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