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Mathematics
Mathematics
Problem
The point
(
2
,
3
)
(2, 3)
(
2
,
3
)
is a limiting point of a co-axial system of circles of which
x
2
+
y
2
=
9
x^2 + y^2 = 9
x
2
+
y
2
=
9
is a member. The coordinates of the other limiting point is given by a.
(
18
13
,
27
13
)
\left(\frac{18}{13}, \frac{27}{13}\right)
(
13
18
,
13
27
)
b.
(
9
13
,
6
13
)
\left(\frac{9}{13}, \frac{6}{13}\right)
(
13
9
,
13
6
)
c.
(
18
13
,
−
27
13
)
\left(\frac{18}{13}, -\frac{27}{13}\right)
(
13
18
,
−
13
27
)
d.
(
−
18
13
,
−
9
13
)
\left(-\frac{18}{13}, -\frac{9}{13}\right)
(
−
13
18
,
−
13
9
)
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