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Mathematics
Mathematics
Problem
If
P
(
6
,
1
)
P(6, 1)
P
(
6
,
1
)
be the orthocentre of the triangle whose vertices are
A
(
5
,
−
2
)
A(5, -2)
A
(
5
,
−
2
)
,
B
(
8
,
3
)
B(8, 3)
B
(
8
,
3
)
and
C
(
h
,
k
)
C(h, k)
C
(
h
,
k
)
, then the point
C
C
C
lies on the circle (2024 Main, 6 April II) (a)
x
2
+
y
2
−
52
=
0
x^2 + y^2 - 52 = 0
x
2
+
y
2
−
52
=
0
(b)
x
2
+
y
2
−
61
=
0
x^2 + y^2 - 61 = 0
x
2
+
y
2
−
61
=
0
(c)
x
2
+
y
2
−
65
=
0
x^2 + y^2 - 65 = 0
x
2
+
y
2
−
65
=
0
(d)
x
2
+
y
2
−
74
=
0
x^2 + y^2 - 74 = 0
x
2
+
y
2
−
74
=
0
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