Question

Find the equation of ellipse with foci (-4,0) directric -16 ?
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Answer 1

Answer:

Semi minor axis length b=4

Center of ellipse is midpoint of foci=(

2

4+16 , 26+6 )=(10,6)

Distance between focus and center ae=10−4=6

a 2e 2 =36=>a 2(1− a 2b 2 )=36=>a 2

−b 2=36=>a 2

=36+4 2

=52

Therefore equation of ellipse is

52(x−10) 2 + 16(y−6) 2 =1

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