A) (a) \[\frac{5}{3}\]
B) (b) \[\frac{1}{2}\]
C) (c) \[\frac{3}{5}\]
D) (d) \[\frac{3}{4}\]
Correct Answer: C
Solution :
[c] \[\because 2ae=6\] \[\Rightarrow ae=3\] ................(1) \[\because 2b=8\] \[b=4\] \[\because {{b}^{2}}={{a}^{2}}(1-{{e}^{2}})\] \[{{(4)}^{2}}={{a}^{2}}-{{a}^{2}}{{e}^{2}}\] \[16+9={{a}^{2}}\] \[\Rightarrow a=5\] \[\therefore ae=3\] \[\because e=\frac{3}{a}=\frac{3}{5}\]Hence, option [c] is correct.You need to login to perform this action.
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