A) \[\sqrt{3}/2\]
B) \[\sqrt{3}/4\]
C) 1/2
D) \[1/\sqrt{2}\]
Correct Answer: A
Solution :
Length of latus rectum \[=\frac{1}{2}\times \text{minor}\,\text{axis}\] \[\frac{2{{b}^{2}}}{a}=\frac{1}{2}\times 2h\Rightarrow b=a/2\]or \[{{b}^{2}}={{a}^{2}}/4\] \[{{e}^{2}}=1-\frac{{{b}^{2}}}{{{a}^{2}}}\]\[\Rightarrow \]\[1-\frac{{{a}^{2}}}{4\times {{a}^{2}}}=3/4\] \[e=\sqrt{3}/2\]
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