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Mathematics
Mathematics
Problem
For the circle
(
x
−
4
)
2
+
(
y
+
3
)
2
=
25
(x - 4)^2 + (y + 3)^2 = 25
(
x
−
4
)
2
+
(
y
+
3
)
2
=
25
, a point
P
(
x
1
,
y
1
)
P(x_1, y_1)
P
(
x
1
,
y
1
)
is chosen. Which condition must
P
P
P
satisfy so that the tangent at
P
P
P
to the circle can be written? a)
(
x
1
+
4
)
2
+
(
y
1
−
3
)
2
=
25
(x_1 + 4)^2 + (y_1 - 3)^2 = 25
(
x
1
+
4
)
2
+
(
y
1
−
3
)
2
=
25
b)
x
1
2
+
y
1
2
=
25
x_1^2 + y_1^2 = 25
x
1
2
+
y
1
2
=
25
c)
(
x
1
−
4
)
2
+
(
y
1
+
3
)
2
=
25
(x_1 - 4)^2 + (y_1 + 3)^2 = 25
(
x
1
−
4
)
2
+
(
y
1
+
3
)
2
=
25
d)
(
x
1
−
4
)
2
+
(
y
1
+
3
)
2
>
25
(x_1 - 4)^2 + (y_1 + 3)^2 > 25
(
x
1
−
4
)
2
+
(
y
1
+
3
)
2
>
25
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