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Question
A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of 60o with the line x + y = 0. Then an equation of the line L is :
x + $\sqrt 3 $y = 8
$\sqrt 3 $x + y = 8
( $\sqrt 3 $ + 1)x + ( $\sqrt 3 $ – 1)y = 8 $\sqrt 2 $
( $\sqrt 3 $ - 1)x + ( $\sqrt 3 $ + 1)y = 8 $\sqrt 2 $

Solution

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