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Mathematics
Mathematics
Problem
Tangents drawn from the point
P
(
1
,
8
)
P(1, 8)
P
(
1
,
8
)
to the circle
x
2
+
y
2
−
6
x
−
4
y
−
11
=
0
x^2 + y^2 - 6x - 4y - 11 = 0
x
2
+
y
2
−
6
x
−
4
y
−
11
=
0
touch the circle at the points
A
A
A
and
B
B
B
. Find the equation of the circumcircle of the triangle
P
A
B
PAB
P
A
B
. a.
x
2
+
y
2
+
4
x
−
6
y
+
19
=
0
x^2 + y^2 + 4x - 6y + 19 = 0
x
2
+
y
2
+
4
x
−
6
y
+
19
=
0
b.
x
2
+
y
2
−
4
x
−
10
y
+
19
=
0
x^2 + y^2 - 4x - 10y + 19 = 0
x
2
+
y
2
−
4
x
−
10
y
+
19
=
0
c.
x
2
+
y
2
−
2
x
+
6
y
−
29
=
0
x^2 + y^2 - 2x + 6y - 29 = 0
x
2
+
y
2
−
2
x
+
6
y
−
29
=
0
d.
x
2
+
y
2
−
6
x
−
4
y
+
19
=
0
x^2 + y^2 - 6x - 4y + 19 = 0
x
2
+
y
2
−
6
x
−
4
y
+
19
=
0
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