The point (2, 3) is a limiting point of a coaxial system of circles of which \[{{x}^{2}}+{{y}^{2}}=9\]is a member. The co-ordinates of the other limiting point is given by [MP PET 1993]

\[\left( \frac{9}{13},\frac{6}{13} \right)\]

\[\left( \frac{18}{13},\frac{27}{13} \right)\]

\[\left( \frac{9}{13},\frac{6}{13} \right)\]

\[\left( \frac{18}{13},-\frac{27}{13} \right)\]

\[\left( -\frac{18}{13},-\frac{9}{13} \right)\]

The point (2, 3) is a limiting point of a coaxial system of circles of

1.	The point (2, 3) is a limiting point of a coaxial system of circles of which \[{{x}^{2}}+{{y}^{2}}=9\]is a member. The co-ordinates of the other limiting point is given by [MP PET 1993]
A.	\[\left( \frac{18}{13},\frac{27}{13} \right)\]
B.	\[\left( \frac{9}{13},\frac{6}{13} \right)\]
C.	\[\left( \frac{18}{13},-\frac{27}{13} \right)\]
D.	\[\left( -\frac{18}{13},-\frac{9}{13} \right)\]
Answer» B. \[\left( \frac{9}{13},\frac{6}{13} \right)\]

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The point (2, 3) is a limiting point of a coaxial system of circles of which \[{{x}^{2}}+{{y}^{2}}=9\]is a member. The co-ordinates of the other limiting point is given by [MP PET 1993]

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