Q. 355.0( 1 Vote )

# Equations of diagonals of the square formed by the 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 =

D. y = 2x, y + 2x = 1

Answer :

Given lines are x = 0, y = 0, x = 1 and y = 1 form a square of side 1 unit

By the given lines we form a square OABC having corners O (0, 0),

A (1, 0), B (1, 1) and C (0, 1).

Now, we find the equation of diagonal AC

We know that, when two points are given then, equation of line is

⇒ y = -1 (x – 1)

⇒ y = -x + 1

⇒ x + y = 1

Equation of diagonal OB is

⇒ y = 1 (x)

⇒ y = x

Hence, the correct option is **(a)**

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