Possible to find

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

#Geometry

Easy Math Editor

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Comments

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.

Raghav Vaidyanathan - 6 years, 2 months ago

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

Tanishq Varshney - 6 years, 2 months ago

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

Raghav Vaidyanathan - 6 years, 2 months ago

@Rohit Shah @Pranjal Jain

Tanishq Varshney - 6 years, 2 months ago

The question is incomplete.One extra condition is required

Rohit Shah - 6 years, 2 months ago

Can you put a rough daigram please ?

Karan Shekhawat - 6 years, 2 months ago

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

Tanishq Varshney - 6 years, 2 months ago

Thanks I'am waiting....

Karan Shekhawat - 6 years, 2 months ago

@Karan Shekhawat – 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.

Tanishq Varshney - 6 years, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$