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an ellipse with foci (-1,1) and (1,1) passes through centre (0,0) then its equation is

an ellipse with foci (-1,1) and (1,1) passes through centre (0,0) then its equation is

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Dear student
 
As y coordinates is same. Hence it is clear that it will be a horizontal ellipse or its axis will be parallel to x axis.
Mid point of focii is the centre.
Hence centre is (0,1).
 
Hence equation of ellipse is:
x² /a²  + (y-1)²/b² = 1
Now pass it from 0,0
You will get a relationship between a and b.
And also 
a*e = 1
From b² = a² (1-e²)
You will get an relationship between a and b.
Now you can easily solve.
 
Regards
Arun (askIITians forum expert)

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