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# Let the equations of two ellipses be

Question:

Let the equations of two ellipses be $E_{1}: \frac{x^{2}}{3}+\frac{y^{2}}{2}=1$ and $E_{2}: \frac{x^{2}}{16}+\frac{y^{2}}{b^{2}}=1$. If the product of their eccentricities is $\frac{1}{2}$, then the length of the minor axis of ellipse $E_{2}$ is :-

1. 9

2. 8

3. 2

4. 4

Correct Option: , 4

Solution:

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