You can put this solution on YOUR website! find equation of the ellipse which had eccentricity of 3/4 and its equation of directrix is y= +-16/3
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given ecccentricity,e=3/4
center:(0,0)
ellipse has a vertical major axis:
Its standard form of equation:, a>b
ae=directrix=±16/3
a=(16/3)/(3/4)
a=4
a^2=16
c^2=a^2-b^2
e=c/a
c=ae=4*3/4=3
b^2=a^2-c^2=16-9=7
Equation of given ellipse: