Question

The area of quadrilateral formed by the angular bisectors of the line $x+y=5$ and $x-y+1=0$ with co-ordinate axis is

• A. $4$ sq. units
• B. $6$ sq. units
• C. $12$ sq. units
• D. $24$ sq. units

Answer 1

The correct option is B $6$ sq. units

$x+y=5$ and $x-y+1=0$ are intersecting at $(2,3)$
$\Rightarrow$ Angular bisector are $x=2$ and $y=3$ (As slopes of given lines are $\pm 1$).
$\therefore$ Required Area= $2\cdot 3=6$ sq. units