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Mathematics
Mathematics
Problem
Points
A
(
−
2
,
1
)
A(-2,1)
A
(
−
2
,
1
)
and
B
(
3
,
4
)
B(3,4)
B
(
3
,
4
)
are fixed. If a point
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
moves so that the area of
△
P
A
B
\triangle PAB
△
P
A
B
is
10
square units
10\,\text{square units}
10
square units
, the equation of the locus of
P
P
P
is a)
5
x
+
3
y
=
31
or
5
x
+
3
y
=
9
5x+3y=31 \text{ or } 5x+3y=9
5
x
+
3
y
=
31
or
5
x
+
3
y
=
9
b)
3
x
−
5
y
=
20
or
3
x
−
5
y
=
−
20
3x-5y=20 \text{ or } 3x-5y=-20
3
x
−
5
y
=
20
or
3
x
−
5
y
=
−
20
c)
3
x
−
5
y
=
9
or
3
x
−
5
y
=
−
31
3x-5y=9 \text{ or } 3x-5y=-31
3
x
−
5
y
=
9
or
3
x
−
5
y
=
−
31
d)
3
x
+
5
y
=
9
or
3
x
+
5
y
=
−
31
3x+5y=9 \text{ or } 3x+5y=-31
3
x
+
5
y
=
9
or
3
x
+
5
y
=
−
31
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