Level:
Project ID:
9000020905
Accepted:
1
Clonable:
0
Easy:
1
Find the condition on the parameter
\(c\in \mathbb{R}\)
which ensures that the following system has a unique solution in
\(\mathbb{R}\times \mathbb{R}\).
\[ \begin{alignedat}{80}
&x^{2} & + &y^{2} & = 2 & & & & & &
\\ &x & + &c & = y & & & & & &
\\\end{alignedat}\]
\(|c| = 2\)
\(|c| > 2\)
\(|c| < 2\)
\(c = 2\)