Let E be the ellipse mid-point of the line segment joining P and Q, and M (P, Q') be the mid-point of the line segment joining P and Q'. Then the maximum possible value of the distance between M(P, Q) and M(P, Q'), as P, Q and Q' vary on E, is +1. For any three distinct points P, Q and Q' on E, let M (P, Q) be the 16 9

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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x²y²
18. Let E be the ellipse
+
1. For any three distinct points P, Q and Q' on E, let M (P, Q) be the
16 9
mid-point of the line segment joining P and Q, and M (P, Q') be the mid-point of the line segment
joining P and Q'. Then the maximum possible value of the distance between M(P, Q) and M(P, Q'),
as P, Q and Q' vary on E, is
Transcribed Image Text:x²y² 18. Let E be the ellipse + 1. For any three distinct points P, Q and Q' on E, let M (P, Q) be the 16 9 mid-point of the line segment joining P and Q, and M (P, Q') be the mid-point of the line segment joining P and Q'. Then the maximum possible value of the distance between M(P, Q) and M(P, Q'), as P, Q and Q' vary on E, is
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