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Mathematics
Mathematics
Problem
Let the abscissae of the two points
P
P
P
and
Q
Q
Q
on a circle be the roots of
x
2
−
4
x
−
6
=
0
x^2 - 4x - 6 = 0
x
2
−
4
x
−
6
=
0
and the ordinates of
P
P
P
and
Q
Q
Q
be the roots of
y
2
+
2
y
−
7
=
0
y^2 + 2y - 7 = 0
y
2
+
2
y
−
7
=
0
. If
P
Q
PQ
P
Q
is a diameter of the circle
x
2
+
y
2
+
2
a
x
+
2
b
y
+
c
=
0
x^2 + y^2 + 2ax + 2by + c = 0
x
2
+
y
2
+
2
a
x
+
2
b
y
+
c
=
0
, then the value of
(
a
+
b
−
c
)
(a + b - c)
(
a
+
b
−
c
)
is (a) 12 (b) 13 (c) 14 (d) 16
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