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Mathematics
Mathematics
Problem
If the roots of the equation
1
x
+
p
+
1
x
+
q
=
1
r
\frac{1}{x+p} + \frac{1}{x+q} = \frac{1}{r}
x
+
p
1
+
x
+
q
1
=
r
1
are equal in magnitude but opposite in sign, then the product of the roots is: (a)
−
2
(
p
2
+
q
2
)
-2(p^2 + q^2)
−
2
(
p
2
+
q
2
)
(b)
−
(
p
2
+
q
2
)
-(p^2 + q^2)
−
(
p
2
+
q
2
)
(c)
−
(
p
2
+
q
2
)
2
-\frac{(p^2 + q^2)}{2}
−
2
(
p
2
+
q
2
)
(d)
−
p
q
-pq
−
pq
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