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Mathematics
Mathematics
Problem
Let
O
(
0
,
0
)
O(0, 0)
O
(
0
,
0
)
and
A
(
0
,
1
)
A(0, 1)
A
(
0
,
1
)
be two fixed points. Then the locus of a point
P
P
P
such that the perimeter of
Δ
A
O
P
\Delta AOP
Δ
A
O
P
is 4, is (a)
9
x
2
+
8
y
2
−
8
y
=
16
9x^2 + 8y^2 - 8y = 16
9
x
2
+
8
y
2
−
8
y
=
16
(b)
8
x
2
+
9
y
2
−
9
y
=
18
8x^2 + 9y^2 - 9y = 18
8
x
2
+
9
y
2
−
9
y
=
18
(c)
8
x
2
−
9
y
2
+
9
y
=
18
8x^2 - 9y^2 + 9y = 18
8
x
2
−
9
y
2
+
9
y
=
18
(d)
9
x
2
−
8
y
2
+
8
y
=
16
9x^2 - 8y^2 + 8y = 16
9
x
2
−
8
y
2
+
8
y
=
16
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