A) Straight line
B) Circle
C) Parabola
D) Ellipse
Correct Answer: B
Solution :
\[y=-\frac{\beta }{\alpha }x+\beta \]touches the circle, \ \[{{\beta }^{2}}={{a}^{2}}\left( 1+\frac{{{\beta }^{2}}}{{{\alpha }^{2}}} \right)\] Þ \[\frac{1}{{{\alpha }^{2}}}+\frac{1}{{{\beta }^{2}}}=\frac{1}{{{a}^{2}}}\] \ Locus of \[\left( \frac{1}{\alpha },\frac{1}{\beta } \right)\]is \[{{x}^{2}}+{{y}^{2}}={{\left( \frac{1}{a} \right)}^{2}}\].
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