The area (in sq units) of the quardilateral formed by the lines $2 x+3 y+6=0$, $2 x-3 y+6=0,2 x+3 y-6=0$ and…

The area (in sq units) of the quardilateral formed by the lines $2 x+3 y+6=0$, $2 x-3 y+6=0,2 x+3 y-6=0$ and $2 x-3 y-6=0$ is
  1. 12
  2. 36
  3. 6
  4. 18

Solution

$\begin{gathered}\text { Required area }=\left|\frac{(6+6) \times(6+6)}{2(-3)-3(2)}\right| \\ =\frac{12 \times 12}{12}=12\end{gathered}$

Asked in: AP EAMCET 2018 (23 Apr Shift 2)

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