If tangent lines are drawn from the point     (-1, 2) to the parabola ${\mathrm{y}}^2=4\mathrm{x}$, then the area of the triangle (in sq. units) formed by the chord of contact and the tangents drawn, is

$$\begin{gathered} \mathrm{Given} \mathrm{point} \mathrm{P}=(-1,2) \\ and given parabola {\mathrm{y}}^2=4\mathrm{x} \\ \Rightarrow \mathrm{a}=1 \\ Now required \mathrm{Area} = \frac{{\left({\mathrm{s}}_{11}\right)}^{{\displaystyle \raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}}}{2\mathrm{a}} \\ =\frac{{\left(8\right)}^{{\displaystyle \raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}}}{2} \\ =\frac{8\sqrt{8}}{2} \\ =8\sqrt{2} \end{gathered}$$