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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 ____.
    Correct answer is '4'. Can you explain this answer?
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    Let E be the ellipse . For any three distinct points P, Q and Q on E, ...
    M(P, Q) is the mid-point of PQ.
    M(P, Q') is the mid-point of PQ'.
    In ΔPQQ', since M(P, Q) and M(P, Q') are the mid-points of PQ and PQ', the line joining M(P, Q) and M(P, Q') is parallel to QQ' and half of it.
    ⇒ Maximum distance = 1/2 QQ' = 1/2 (8) = 4
    (Since maximum of QQ' is possible when QQ' = major axis)
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    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 ____.Correct answer is '4'. Can you explain this answer?
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    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 ____.Correct answer is '4'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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 ____.Correct answer is '4'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 ____.Correct answer is '4'. Can you explain this answer?.
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