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Intersection And Maximum Triangle (Posted on 2008-03-30) Difficulty: 3 of 5
A tangent to the ellipse x2/9 + y2/2 = 1 intersects the circle x2 + y2 = 9 at the points P and Q. It is known that R is a point on the circle x2+ y2 = 9. Each of P, Q and R are located above the x-axis.

For example, the coordinates of R cannot be (3,0), since (3,0) is not located above the x axis.

Determine the maximum area of the triangle PQR.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Some ThoughtsThoughtsBrian Smith2019-11-24 11:16:42
Solutionre: Well..... correctionCharlie2008-03-30 17:32:36
re: Well.....Charlie2008-03-30 17:07:15
re: Well..... (the program)Charlie2008-03-30 16:48:15
Some ThoughtsWell.....Charlie2008-03-30 16:42:55
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