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(x−1)29+y25=100
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Solution
(h,k)=(1,0),a=30,b=10√5
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(x−1)29+y25=100
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 (x−1)29+y25=100in the form of the standard ellipse equation
(x−1)2302+(y−0)2(10√5)2=1
Therefore ellipse properties are:
(h,k)=(1,0),a=30,b=10√5
a>btherefore ais semi-major axis and bis semi-minor axis