A) \[\frac{\sqrt{2}}{2}\]
B) \[\frac{\sqrt{3}}{2}\]
C) \[\frac{1}{2}\]
D) \[\frac{3}{4}\]
Correct Answer: C
Solution :
Let the ellipse \[{{E}_{2}}=\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] as it is passing through \[\left( 0,4 \right){{b}^{2}}=16\] |
Also it is passes through (3, 2). |
\[{{a}^{2}}=12\] |
\[\therefore \,\,\,e=\sqrt{1-\frac{{{a}^{2}}}{{{b}^{2}}}}=\sqrt{1-\frac{12}{16}}\] |
\[e=\frac{1}{2}\] |
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