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if a>0 and the equation |z-a^2|+|z-2a|=3 represents an ellipse,then a lies in

if a>0 and the equation |z-a^2|+|z-2a|=3 represents an ellipse,then a lies in

Grade:12

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
10 years ago
The focii of this ellipse are : a^2 and 2a
2a = 3
a = 3/2
Eccentricity of ellipse is less than 1.
c/a < 1
c<a
a^2 - 2a <1
a^2 - 2a - 1 <0
(a-1)^2<2
-v2<a-1<v2
a is in range (1-v2, 1+v2)
Thanks
Bharat Bajaj
IIT Delhi
askiitians faculty

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