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Mathematics
Mathematics
Problem
The locus of a point
P
(
α
,
β
)
P(\alpha, \beta)
P
(
α
,
β
)
moving under the condition that the line
y
=
α
x
+
β
y = \alpha x + \beta
y
=
α
x
+
β
is a tangent to the hyperbola
x
2
a
2
−
y
2
b
2
=
1
\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1
a
2
x
2
−
b
2
y
2
=
1
is a. an ellipse b. a circle c. a parabola d. a hyperbola
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