A) \[\sqrt{2}\]
B) \[\frac{3}{2}\]
C) 2
D) 3
Correct Answer: B
Solution :
Given equation of hyperbola is \[5{{x}^{2}}-4{{y}^{2}}+20x+8y=4\] \[5{{(x+2)}^{2}}-4\,{{(y-1)}^{2}}=20\] Þ \[\frac{{{(x+2)}^{2}}}{4}-\frac{{{(y-1)}^{2}}}{5}=1\] From\[{{b}^{2}}={{a}^{2}}({{e}^{2}}-1)\],\[5=4({{e}^{2}}-1)\] \[\Rightarrow {{e}^{2}}=9/4\Rightarrow e=3/2\].You need to login to perform this action.
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