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Q.

A square is constructed on the portion of the line x + y = 5 which is intercepted between the axes, on the side of the line away from origin. The equations to the diagonals of the square are

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a

x = 5, y = –5

b

x = 5, y = 5

c

x = –5, y = 5

d

x – y = 5, x – y = –5

answer is B.

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Detailed Solution

Clearly, the equations of the two diagonals are x = 5 and y = 5.
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A square is constructed on the portion of the line x + y = 5 which is intercepted between the axes, on the side of the line away from origin. The equations to the diagonals of the square are