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Mathematics
Mathematics
Problem
Find the point
P
P
P
on the circle
x
2
+
y
2
−
4
x
−
6
y
+
9
=
0
such that
x^2 + y^2 - 4x - 6y + 9 = 0 \text{ such that}
x
2
+
y
2
−
4
x
−
6
y
+
9
=
0
such that
(i)
∠
P
O
X
\angle POX
∠
P
O
X
is minimum, (ii)
O
P
OP
O
P
is maximum, when
O
O
O
is the origin and
O
X
OX
O
X
is the
X
X
X
-axis.
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