Q6Multiple correct3 Marks7 Aug 2022

A constructor is asked to construct a new road which is at a distance of $2\sqrt{2}\text{ km}$ from the municipality office and perpendicular to a road which can be defined by the equation of the straight line $x - y = 8$ (considering the municipality office to be the origin). Choose the correct option(s) representing the possible equations of the straight lines to represent the new road to be constructed.

A

$x - y - 4 = 0$

B

$x + y + 4 = 0$

C

$x - y + 4 = 0$

D

$x + y - 4 = 0$