Mathematics - Parabola Question with Solution | TestHub

End points of latus rectum$\mathrm{A}(1,\mathrm{ }2),\mathrm{ }\mathrm{B}(1,\mathrm{ }–2)$
Equation of normal at$\mathrm{A}\left[\frac{\mathrm{d}\mathrm{y}}{\mathrm{d}\mathrm{x}}=1\right]$
$\mathrm{y}-2=-1\left(\mathrm{x}-1\right)$
$\mathrm{x}+\mathrm{y}-3=0$...(i)
$\mathrm{r}=$Distance of line (i) from$\left(3,\mathrm{ }-2\right)$
$\mathrm{r}=\left|\frac{3-2-3}{\sqrt{2}}\right|=\sqrt{2}$
${\mathrm{r}}^2=2$