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Mathematics
Mathematics
Problem
If the sum of the slopes of the normal from a point
P
P
P
to the hyperbola
x
y
=
c
2
xy = c^2
x
y
=
c
2
is equal to
λ
\lambda
λ
(
λ
∈
R
+
\lambda \in \mathbb{R}^+
λ
∈
R
+
), then the locus of point
P
P
P
is a.
x
2
=
λ
c
2
x^2 = \lambda c^2
x
2
=
λ
c
2
b.
y
2
=
λ
c
2
y^2 = \lambda c^2
y
2
=
λ
c
2
c.
x
y
=
λ
c
2
xy = \lambda c^2
x
y
=
λ
c
2
d. None of these
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