turkey-yks 2023 Q38

turkey-yks · Other · yks-ayt Straight Lines & Coordinate Geometry Slope and Angle Between Lines
In the rectangular coordinate plane, the line $2x + y = 12$ and a line d intersect at point $\mathrm{A}(4,4)$. These two lines divide every circle centered at point $\mathrm{A}(4,4)$ into four equal areas.
Accordingly, which of the following is the equation of line d?
A) $-2x + y = -4$ B) $x - 3y = -8$ C) $3x + y = 16$ D) $x + 2y = 12$ E) $x - 2y = -4$ 
In the rectangular coordinate plane, the line $2x + y = 12$ and a line d intersect at point $\mathrm{A}(4,4)$. These two lines divide every circle centered at point $\mathrm{A}(4,4)$ into four equal areas.

Accordingly, which of the following is the equation of line d?

A) $-2x + y = -4$
B) $x - 3y = -8$
C) $3x + y = 16$
D) $x + 2y = 12$
E) $x - 2y = -4$
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