A tangent to a hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] intercepts a length of unity from each of the co-ordinate axes, then the point (a, b) lies on the rectangular hyperbola

A tangent to a hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}

1.	A tangent to a hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] intercepts a length of unity from each of the co-ordinate axes, then the point (a, b) lies on the rectangular hyperbola
A.	\[{{x}^{2}}-{{y}^{2}}=2\]
B.	\[{{x}^{2}}-{{y}^{2}}=1\]
C.	\[{{x}^{2}}-{{y}^{2}}=-1\]
D.	None of these
Answer» C. \[{{x}^{2}}-{{y}^{2}}=-1\]

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A tangent to a hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] intercepts a length of unity from each of the co-ordinate axes, then the point (a, b) lies on the rectangular hyperbola

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