Let E be the ellipse x 2 16 + y 2 9 = 1 . 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

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Let  E  be the ellipse  x 2 16 + y 2 9 = 1 . 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 _____.

Quantrex Academy · Accepted Answer

Correct answer: A. A

. In a triangle sides joining the mid-points of two sides is half and parallel to third side M 1 M 2 = 1 2 Q Q ' Maximum value of Q Q '  is A A ' Hence, maximum value of M 1 M 2 = 1 2 A A ' = 4

JEE Advanced Mathematics Question (2021) — Solution

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