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A square is formed by the lines \(x=0, y=0\), \(x=1, y=1\). Then, the equations of its diagonals will be
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Verified Answer
The correct answer is:
\(y=x, x+y=1\)
Equation of \(O B\)
\(\begin{aligned}
\quad y & =\left(\frac{1-0}{1-0}\right) x \\
\Rightarrow \quad(y & =x)
\end{aligned}\)
Equation of \(A C\)
\(\Rightarrow \quad \begin{aligned}
y-0 & =-1(x-1) \\
\Rightarrow \quad y & =-x+1 \Rightarrow x+y=1
\end{aligned}\)
\(\begin{aligned}
\quad y & =\left(\frac{1-0}{1-0}\right) x \\
\Rightarrow \quad(y & =x)
\end{aligned}\)
Equation of \(A C\)
\(\Rightarrow \quad \begin{aligned}
y-0 & =-1(x-1) \\
\Rightarrow \quad y & =-x+1 \Rightarrow x+y=1
\end{aligned}\)
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