If the ellipse x ^ 2 / m ^ 2 + y ^ 2 / 4 = 1 passes through the point (- 2, √ 3), then its focal length is the required process. Thank you
(- 2, √ 3) substitute x ^ 2 / m ^ 2 + y ^ 2 / 4 = 1 to get
4/m^2+3/4=1
4/m^2=1/4
m^2=18
c^2=a^2-b^2=16-4=12
c=2√3
Then the focal length 2C = 4 √ 3
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