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Mathematics
Mathematics
Problem
The tangents to
x
2
+
y
2
=
a
2
x^2 + y^2 = a^2
x
2
+
y
2
=
a
2
having inclinations
α
\alpha
α
and
β
\beta
β
intersect at
P
P
P
. If
cot
α
+
cot
β
=
0
\cot \alpha + \cot \beta = 0
cot
α
+
cot
β
=
0
, then the locus of
P
P
P
is a.
x
+
y
=
0
x + y = 0
x
+
y
=
0
b.
x
−
y
=
0
x - y = 0
x
−
y
=
0
c.
x
y
=
0
xy = 0
x
y
=
0
d.
x
y
=
1
xy = 1
x
y
=
1
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