Level:
Project ID:
2010011206
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Consider the system
\[\begin{aligned}
y & = \frac{k}
{x}, & &
\\y & = a, & &
\end{aligned}\]
where \(a\),
\(k\) are real
parameters and \(x\),
\(y\) are real
variables. Determine the conditions for \(a\) and \(k\) so that the system has a unique solution in \(\mathbb{R}^{+}\times \mathbb{R}^{-}\).
\(a < 0\) and
\(k < 0\)
\(a < 0\) and
\(k > 0\)
\(a > 0\) and
\(k < 0\)
\(a > 0\) and
\(k > 0\)