Tangents at any point on the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] cut the axes at A and B respectively. If the rectangle OAPB (where O is the origin)is completed, then locus of point P is given by :

\[\frac{{{a}^{2}}}{{{x}^{2}}}+\frac{{{b}^{2}}}{{{y}^{2}}}=1\]

\[\frac{{{a}^{2}}}{{{x}^{2}}}-\frac{{{b}^{2}}}{{{y}^{2}}}=1\]

\[\frac{{{a}^{2}}}{{{y}^{2}}}-\frac{{{b}^{2}}}{{{x}^{2}}}=1\]

Tangents at any point on the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\

1.	Tangents at any point on the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] cut the axes at A and B respectively. If the rectangle OAPB (where O is the origin)is completed, then locus of point P is given by :
A.	\[\frac{{{a}^{2}}}{{{x}^{2}}}-\frac{{{b}^{2}}}{{{y}^{2}}}=1\]
B.	\[\frac{{{a}^{2}}}{{{x}^{2}}}+\frac{{{b}^{2}}}{{{y}^{2}}}=1\]
C.	\[\frac{{{a}^{2}}}{{{y}^{2}}}-\frac{{{b}^{2}}}{{{x}^{2}}}=1\]
D.	None of these
Answer» B. \[\frac{{{a}^{2}}}{{{x}^{2}}}+\frac{{{b}^{2}}}{{{y}^{2}}}=1\]

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Tangents at any point on the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] cut the axes at A and B respectively. If the rectangle OAPB (where O is the origin)is completed, then locus of point P is given by :

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