The eccentricity of the ellipse, which meets the straight line \(\frac{x}{7}+\frac{y}{2} = 1 \)on the axis of y and whose axes lie along the axes of coordinates, is

Actually, it must also be specified whether the ellipse also meets said line on the x axis also. Otherwise, there are infinite such ellipses with infinite different eccentricities.

@Karan Shekhawat
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there are many possibilities as Raghav told. One possibility which.any one would think that \(a=7\) and \(b=2\) and hence eccentricity=\(\frac{3\sqrt{5}}{7}\) but thats not the answer.

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TopNewestActually, it must also be specified whether the ellipse also meets said line on the x axis also. Otherwise, there are infinite such ellipses with infinite different eccentricities.

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Is the question incomplete ? The answer i have is \(\frac{2\sqrt{6}}{7}\)

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Yes it seems so. All the ellipse of form \(\frac {x^2} {a^2}+\frac {y^2} {2^2}=1\) satisfy given condition.

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Can you put a rough daigram please ?

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The question itself doesn't have a diagram but i'll try posting it. I think the question is incomplete

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Thanks I'am waiting....

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@Rohit Shah @Pranjal Jain

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The question is incomplete.One extra condition is required

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