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Question

Equation(s) of the line perpendicular to x=y and at a distance of 1 unit from origin is/are

A
x+y+2=0
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B
3x+4y+5=0
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C
x+y2=0
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D
3x+4y5=0
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Solution

The correct options are
A x+y+2=0
C x+y2=0
Equation of the line perpendicular to x=y will be of form x+y+k=0
Distance from origin to the required line is 1 unit
|k|2=1k=±2
Hence required line equation's are
x+y±2=0

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