Question

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

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

Answer 1

Answer: (A)

$y = x , y + x = 1$

Answer 2

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

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