EllipseHardBloom L3
Question
The eccentricity of the ellipse which meets the straight line $\frac{x}{7} + \frac{y}{2} = 1$ on the axis of $x$ and the straight line $\frac{x}{3} - \frac{y}{5} = 1$ on the axis of $y$ and whose axis lie along the axes of coordinates is:
Options
A.$\frac{3\sqrt{2}}{7}$
B.$\frac{2\sqrt{6}}{7}$
C.$\frac{2\sqrt{3}}{7}$
D.none of these
Solution
Sol.(b) $b^{2} = a^{2}\left( 1 - e^{2} \right)$
$$\begin{matrix} 25 & \ = 49\left( 1 - e^{2} \right) \\ e & \ = \frac{2\sqrt{6}}{7} \end{matrix}$$
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