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Mathematics
Mathematics
Problem
Let
C
C
C
be the locus of the mirror image of a point on the parabola
y
2
=
4
x
y^2 = 4x
y
2
=
4
x
with respect to the line
y
=
x
y = x
y
=
x
. Then the equation of tangent to
C
C
C
at
P
(
2
,
1
)
P(2, 1)
P
(
2
,
1
)
is: (a)
x
−
y
=
1
x - y = 1
x
−
y
=
1
(b)
2
x
+
y
=
5
2x + y = 5
2
x
+
y
=
5
(c)
x
+
3
y
=
5
x + 3y = 5
x
+
3
y
=
5
(d)
x
+
2
y
=
4
x + 2y = 4
x
+
2
y
=
4
(a)
x
−
y
=
1
x - y = 1
x
−
y
=
1
(b)
2
x
+
y
=
5
2x + y = 5
2
x
+
y
=
5
(c)
x
+
3
y
=
5
x + 3y = 5
x
+
3
y
=
5
(d)
x
+
2
y
=
4
x + 2y = 4
x
+
2
y
=
4
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