Let E be the ellipse 
. For any three distinct points P, Q and Q' on E, let M(P, Q) be the 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_____
Text Solution
Verified by Experts4
(4)
M(P, Q) is mid-point of PQ
M(P, Q') is mid-point of PQ'
In a A PQQ' since M(P, Q) & M(P, Q') are mid-point of PQ & PQ' hence line joining M(P,Q), M(P,Q') is parallel to QQ' and half of it.
max distance = 
QQ' = 
(8) = 4
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