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Mathematics
Mathematics
Problem
Consider the triangle with vertices
P
(
x
,
0
)
P(x,0)
P
(
x
,
0
)
,
Q
(
0
,
y
)
Q(0,y)
Q
(
0
,
y
)
and
R
(
3
,
4
)
R(3,4)
R
(
3
,
4
)
. If the area of
△
P
Q
R
\triangle PQR
△
P
QR
is
6
square units
6\,\text{square units}
6
square units
, the locus of
P
P
P
is a)
(
x
−
4
)
(
y
−
3
)
=
12
(x-4)(y-3)=12
(
x
−
4
)
(
y
−
3
)
=
12
b)
∣
x
y
−
4
x
−
3
y
∣
=
6
\lvert xy-4x-3y\rvert = 6
∣
x
y
−
4
x
−
3
y
∣
=
6
c)
x
y
−
4
x
−
3
y
=
12
or
x
y
−
4
x
−
3
y
=
−
12
xy-4x-3y=12\text{ or }xy-4x-3y=-12
x
y
−
4
x
−
3
y
=
12
or
x
y
−
4
x
−
3
y
=
−
12
d)
∣
x
y
+
4
x
+
3
y
∣
=
12
\lvert xy+4x+3y\rvert = 12
∣
x
y
+
4
x
+
3
y
∣
=
12
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