Question

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

• A. $y=x,y+x=1$
• B. $y=x,x+y=2$
• C. $2y=x,y+x=\frac{1}{3}$
• D. $y=2x,y+2x=1$

Answer 1

The correct option is A $y=x,y+x=1$

Coordinates of the vertices of the square are $A(0,0),B(0,1),C(1,1)$ and $D(1,0)$.
Now, the equation of $AC$ is $y=x$ and
Equation of $BD$ is $y-1=-\frac{1}{1}(x-0)$
$\Rightarrow x+y=1$