Q.

If the midpoint of a chord of the ellipse x216+y225=1 is (0, 3) then the length of the chord is ________.

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answer is 6.4.

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Detailed Solution

The equation of the chord whose midpoint is (0, 3) is3y25−1=925−1i.e., y = 3It intersects the ellipsex216+y225=1∴x216=1−925=1625 or x=±165∴ Length of chord =325
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