Q. 155.0( 3 Votes )

Find the equation

Answer :

Given:

The square formed by the lines x = 0, x = 1, y = 0 and y = 1.


Concept Used:


The equation of the line passing through the two points ( x1, y1) and ( x2, y2)


To find:


The equation of diagonal of the square.


Explanation:


Clearly, the vertices of the square are A(0, 0), B(1, 0), C(1, 1) and D(0,1) .


The diagonal passing through A (0, 0) and C(1, 1) is


Formula used:



y = x


And, the diagonal passing through B(1, 0) and D(0, 1) is


Formula used:



y = -x + 1


x + y = 1


Hence, the equation of diagonals are y = x and x + y = 1.


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