If the midpoint of a chord of the ellipse x216+y225=1 is (0, 3) then the length of the chord is ________.
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
answer is 6.4.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
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