interesting problem (1 Viewer)

[bos1234]

is a point in the first quadrant on the ellipse

where <IMG class=latex title="a>b>0" alt="a>b>0" src="http://www.artofproblemsolving.com/Forum/latexrender/pictures/9/a/9/9a95837e3f62490cd7c6472ea113bc5d08d951d8.gif">. Q,R and S are other points on the ellipse.

i) If

is a rectangle find the maximum area of

and the exact coordinates of the point P at which is maximum area occurs

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ii) if

is a square show that PQRS has area

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i)Answer:

Area

Area is at a maximum of

when

Hence

is

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HOW DO I DO PART ii) ?????????

 

[poke]

*hint* If its a square, the sides are equal