A) \[(2\sqrt{6},5)\]
B) \[(-6,2\sqrt{10})\]
C) \[(6,5\sqrt{2})\]
D) \[(4,\sqrt{15})\]
Correct Answer: C
Solution :
Here,\[a=2,ae=3\Rightarrow e=\frac{3}{2}\] \[\therefore \]\[{{b}^{2}}={{a}^{2}}{{e}^{2}}-{{a}^{2}}=9-4=5\] So, the equation of hyperbola is\[\frac{{{x}^{2}}}{4}-\frac{{{y}^{2}}}{5}=1\] The point \[(6,5\sqrt{2})\]does not lie on this hyperbola.You need to login to perform this action.
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