hard locus qn (1 Viewer)

bos1234

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P lies on the ellipse
+
= 1. Find the locus of the midpoint PS where S is a focus
 
P

pLuvia

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Let P be (acos@, bsin@), S is (ae,0)
Now, find the midpoint of PS
Then you have an x and y coordinate, square both the x and y coordinates and add them together and then simplify and you should get a circle or an ellipse as the locus
 
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bos1234

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do u square and add because the midpoint follows a circular/elliptic path??

is that the reason?
 

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