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find the equation of ellipse having cent...

find the equation of ellipse having centre at (1,2), focus at (6,2) and it passes through (4,6).

Text Solution

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C(1,2), f:(6,2)
`(CF)_m=0`
`(x-1)/a^2+(y-2)/b^2=1`
distance(CF)=`sqrt((6-1)^2+(2-2)^2)=5`
ae=5-(1)
`e=sqrt(1-b^2/a^2)`
`e^2=(a^2-b^2)/a^2`
`a^2-b^2=25-(2)`
...
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