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Mathematics
Mathematics
Problem
Let
A
B
C
ABC
A
B
C
be the triangle such that the equations of lines
A
B
AB
A
B
and
A
C
AC
A
C
be
3
y
−
x
=
2
3y - x = 2
3
y
−
x
=
2
and
x
+
y
=
2
x + y = 2
x
+
y
=
2
, respectively, and the points
B
B
B
and
C
C
C
lie on
x
x
x
-axis. If
P
P
P
is the orthocentre of the triangle
A
B
C
ABC
A
B
C
, then the area of the triangle
P
B
C
PBC
P
B
C
is equal to
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