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If distance between the directrices be thrice the distance between the foci, then eccentricity of ellipse is
  • a)
  • b)
     
  • c)
     
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If distance between the directrices be thrice the distance between the...
Distance between the directrices is 2a/e
Distance between the foci is 2ae
Given: 2a/e = 3∗2ae
Or,e2 = 1/3
∴ e=1/√3
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If distance between the directrices be thrice the distance between the...
Distance between the directrices is 2a/e
Distance between the foci is 2ae
Given: 2a/e = 3∗2ae
Or,e2 = 1/3
∴ e=1/√3
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Community Answer
If distance between the directrices be thrice the distance between the...
The distance between directrices = 2a/e

the distance between foci = 2ae

given : 2a/e = 3×2ae

e² = 1/3
e = 1/√3
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If distance between the directrices be thrice the distance between the foci, then eccentricity of ellipse isa)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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