If the sum of the distances from the foci to the centre 
of an ellipse is 
units and the area of the smallest rectangle in which that ellipse is inscribed is 80 sq. units, then the equation of such an ellipse is
Text Solution
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We have equation of ellipse is
So, distance from foci to centre is given as
......(i)
and 
(Area of smallest rectangle)
So, 
[From Eq. (i)]
.......(iii)
and 
[from eq. (ii)]
From eqs. (iii) and (v), we get
Therefore, equation of required ellipse is
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