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interesting problem (1 Viewer)

bos1234

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Oct 9, 2006
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HSC
2007
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

-----------------------------------------------

ii) if
is a square show that PQRS has area


-------------------

i)Answer:






Area


Area is at a maximum of
when


Hence
is


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

poke

he who can annoy all
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*hint* If its a square, the sides are equal
 

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