If \[\frac{x}{\alpha }+\frac{y}{\beta }=1\] touches the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\], then point \[(1/\alpha ,\,1/\beta )\]lies on a/an [Orissa JEE 2005]

If \[\frac{x}{\alpha }+\frac{y}{\beta }=1\] touches the circle \[{{x}^

1.	If \[\frac{x}{\alpha }+\frac{y}{\beta }=1\] touches the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\], then point \[(1/\alpha ,\,1/\beta )\]lies on a/an [Orissa JEE 2005]
A.	Straight line
B.	Circle
C.	Parabola
D.	Ellipse
Answer» C. Parabola

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If \[\frac{x}{\alpha }+\frac{y}{\beta }=1\] touches the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\], then point \[(1/\alpha ,\,1/\beta )\]lies on a/an [Orissa JEE 2005]

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