Constructing Tangents to Circles
Precalculus · Flashcards
PRECALCULUS · FLASHCARDS
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QUESTION
What is the tangent line to
(
x
−
1
)
2
+
(
y
+
2
)
2
=
25
(x-1)^2 + (y+2)^2 = 25
(
x
−
1
)
2
+
(
y
+
2
)
2
=
25
at
(
5
,
1
)
(5,1)
(
5
,
1
)
?
QUESTION
What condition guarantees that a line is tangent to a circle at point
T
T
T
?
QUESTION
Find the tangent length:
r
=
6
r=6
r
=
6
and
O
P
=
10
OP=10
O
P
=
10
; what is
P
T
PT
P
T
?
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ANSWER
8
8
8
. Use
P
T
=
10
2
−
6
2
=
100
−
36
=
64
PT=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64}
P
T
=
1
0
2
−
6
2
=
100
−
36
=
64
.
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