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axis 9x2+4y2=1
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Solution
semi−majoraxisb=12,semi−minoraxisa=13
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9x2+4y2=1
Ellipse standard equation
(x−h)2a2+(y−k)2b2=1is the ellipse standard equation with center (h,k)and a,b are the semi-major and semi-minor axes
Rewrite 9x2+4y2=1in the form of the standard ellipse equation
(x−0)2(13)2+(y−0)2(12)2=1
Therefore ellipse properties are:
(h,k)=(0,0),a=13,b=12
b>atherefore bis semi-major axis and ais semi-minor axis