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…

Question

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 _____.

Aicharya · Accepted Answer

. 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

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…

Solution

Let E be the ellipse x 2 16 + y 2 9 = 1 . For any three distinct points P , Q and Q &#39; on E , let M P , Q…

Solution

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…