anonymous
  • anonymous
If A be a point on the ellipse x^2/a^2 + y^2/b^2 = 1 and B be a point on its auxillary circle vertically above it, then find the locus of the midpt of A,B
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
You talk like a pirate :) Ye be saying "be" instead of "is" me hardy!
anonymous
  • anonymous
\[A=(a \cos \theta ,bsin \theta ) \]\\\[ B=(acos \theta , asin \theta )\] midpoint p=\[(acos \theta , (a+b)\sin \theta /2)\] therefore (x/a)^2+(2y/(a+b))^2=1. that is the locus........which is again a ellipse,
anonymous
  • anonymous
gr8 man

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anonymous
  • anonymous
the other ones

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