Given the ellipse x ^ 2 + 2Y ^ 2 = 4, find the length of the chord with (1,1) as the midpoint

Given the ellipse x ^ 2 + 2Y ^ 2 = 4, find the length of the chord with (1,1) as the midpoint

To solve the problem, if the mobile phone is not easy to type, set the coordinates of the two intersections as (x1, Y1) and (X2, Y2), and then from the midpoint coordinate formula, you can get X1 + x2 = 2, Y1 + y2 = 2 and ∵ the two intersections are on the ellipse ∵ x1