A) a hyperbola
B) a parabola
C) a circle
D) an ellipse
Correct Answer: A
Solution :
Given, line \[y=ax+\beta \]is a tangent to the given hyperbola, if\[{{\beta }^{2}}={{a}^{2}}{{\alpha }^{2}}-{{b}^{2}}\]. Hence, locus of \[(\alpha ,\beta )\] is\[{{y}^{2}}={{a}^{2}}{{x}^{2}}-{{b}^{2}}\]\[\Rightarrow \frac{{{y}^{2}}}{{{b}^{2}}}-\frac{{{x}^{2}}}{{{b}^{2}}/{{a}^{2}}}=1\]You need to login to perform this action.
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