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Mathematics
Mathematics
Problem
The exhaustive range of values of
a
a
a
such that the angle between the pair of tangents drawn from
(
a
,
a
)
(a, a)
(
a
,
a
)
to the circle
x
2
+
y
2
−
2
x
−
2
y
−
6
=
0
x^2 + y^2 - 2x - 2y - 6 = 0
x
2
+
y
2
−
2
x
−
2
y
−
6
=
0
lies in the range
(
π
3
,
π
)
\left(\frac{\pi}{3}, \pi\right)
(
3
π
,
π
)
is a.
(
−
1
,
3
)
(-1, 3)
(
−
1
,
3
)
b.
(
−
5
,
−
3
)
∪
(
3
,
5
)
(-5, -3) \cup (3, 5)
(
−
5
,
−
3
)
∪
(
3
,
5
)
c.
(
−
3
,
5
)
(-3, 5)
(
−
3
,
5
)
d.
(
−
3
,
−
1
)
∪
(
3
,
5
)
(-3, -1) \cup (3, 5)
(
−
3
,
−
1
)
∪
(
3
,
5
)
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