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Mathematics
Mathematics
Problem
Let
y
=
x
+
2
y=x+2
y
=
x
+
2
,
4
y
=
3
x
+
6
4y=3x+6
4
y
=
3
x
+
6
and
3
y
=
4
x
+
1
3y=4x+1
3
y
=
4
x
+
1
be three tangent lines to the circle
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
(x-h)^2 + (y-k)^2 = r^2
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
. (2023 Main, 30 Jan I) Then,
h
+
k
h+k
h
+
k
is equal to (a)
5
(
1
+
2
)
5(1+\sqrt{2})
5
(
1
+
2
)
(b)
5
2
5\sqrt{2}
5
2
(c) 5 (d) 6 (e)
5
2
5\sqrt{2}
5
2
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