A) a hyperbola with each semi-axis \[=\sqrt{2}\]
B) a hyperbola with each semi-axis = 2
C) a circle of radius = 2
D) a circle of radius \[=\sqrt{2}\]
Correct Answer: C
Solution :
Let the foot of the perpendicular from (0, 0) on the variable line \[\frac{x}{a}+\frac{y}{b}=1\] is \[({{x}_{1}}>{{y}_{1}})\] Hence, perpendicular distance of the variable line\[\frac{x}{a}+\frac{y}{b}=1\] from the point O (0, 0) = OA \[\Rightarrow \]\[\frac{|-1|}{\sqrt{\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}}}=\sqrt{x_{1}^{2}+y_{1}^{2}}\]You need to login to perform this action.
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