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Mathematics
Mathematics
Problem
To which of the following circles, the line
y
−
x
+
3
=
0
y - x + 3 = 0
y
−
x
+
3
=
0
is normal at the point
(
3
+
3
2
,
3
2
)
\left(3 + \frac{3}{\sqrt{2}}, \frac{3}{\sqrt{2}}\right)
(
3
+
2
3
,
2
3
)
? (A)
(
x
−
3
−
3
2
)
2
+
(
y
−
3
2
)
2
=
9
\left(x - 3 - \frac{3}{\sqrt{2}}\right)^2 + \left(y - \frac{3}{\sqrt{2}}\right)^2 = 9
(
x
−
3
−
2
3
)
2
+
(
y
−
2
3
)
2
=
9
(B)
(
x
−
3
2
)
2
+
(
y
−
3
2
)
2
=
9
\left(x - \frac{3}{\sqrt{2}}\right)^2 + \left(y - \frac{3}{\sqrt{2}}\right)^2 = 9
(
x
−
2
3
)
2
+
(
y
−
2
3
)
2
=
9
(C)
x
2
+
(
y
−
3
)
2
=
9
x^2 + (y - 3)^2 = 9
x
2
+
(
y
−
3
)
2
=
9
(D)
(
x
−
3
)
2
+
y
2
=
9
(x - 3)^2 + y^2 = 9
(
x
−
3
)
2
+
y
2
=
9
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