C the centre of the hyperbola\[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\]. The tangents at any point P on this hyperbola meets the straight lines \[bx-ay=0\]and \[bx+ay=0\] in the points Q and R respectively. Then \[CQ\ .\ CR=\]

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

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

C the centre of the hyperbola\[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^

1.	C the centre of the hyperbola\[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\]. The tangents at any point P on this hyperbola meets the straight lines \[bx-ay=0\]and \[bx+ay=0\] in the points Q and R respectively. Then \[CQ\ .\ CR=\]
A.	\[{{a}^{2}}+{{b}^{2}}\]
B.	\[{{a}^{2}}-{{b}^{2}}\]
C.	\[\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}\]
D.	\[\frac{1}{{{a}^{2}}}-\frac{1}{{{b}^{2}}}\]
Answer» B. \[{{a}^{2}}-{{b}^{2}}\]

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C the centre of the hyperbola\[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\]. The tangents at any point P on this hyperbola meets the straight lines \[bx-ay=0\]and \[bx+ay=0\] in the points Q and R respectively. Then \[CQ\ .\ CR=\]
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C the centre of the hyperbola\[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\]. The tangents at any point P on this hyperbola meets the straight lines \[bx-ay=0\]and \[bx+ay=0\] in the points Q and R respectively. Then \[CQ\ .\ CR=\]

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