If the distance between the directrices be thrice the distance between the foci, then eccentricity of ellipse is
A
12
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B
23
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C
1√3
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D
45
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Solution
The correct option is C1√3 Let the equation of ellipse be x2a2+y2b2=1(a>b) Since, it is an standard ellipse ∴ Distance between the directrices =2×ae And distance between the foci =2×ae.