Equations of diagonals of square formed by lines x = 0, y = 0, x = 1 and y = 1 are

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9.Straight Line

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Equations of diagonals of square formed by lines $x = 0,$ $y = 0,$$x = 1$ and $y = 1$are

$y = x,\;y + x = 1$

$y = x,\;x + y = 2$

$2y = x,\;y + x = \frac{1}{3}$

$y = 2x,\;y + 2x = 1$

Solution

(a)Co-ordinates of the vertices of the square are $A(0,\,0),$ $B(0,\,1),$ $C(1,\,1)$ and $D(0,\,1)$.

Now the equation of $AC$ is $y = x$ and of $BD$ is $y – 1 = – \frac{1}{1}(x – 0)$ $ \Rightarrow x + y = 1$.

Standard 11

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