Categories > conic-section > Hyperbola > 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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Question: 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


1) ${{x}^{2}}-{{y}^{2}}=2$
2) ${{x}^{2}}-{{y}^{2}}=1$
3) ${{x}^{2}}-{{y}^{2}}=-1$
4) None of these
Solution: Explanation: No Explanation
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