Mathematics - Parabola Question with Solution | TestHub

Length of focal chord is a ${\left(\mathrm{t}+\frac{1}{\mathrm{t}}\right)}^2$, if (at ${}^2$, 2at) is one extremity of the parabola ${\mathrm{y}}^2=4\mathrm{ax}$. $\begin{array}{rlr}& \therefore \mathrm{t}+\frac{1}{\mathrm{t}}\ge 2(\mathrm{AM}\ge \mathrm{GM})& \Rightarrow \mathrm{a}{\left(\mathrm{t}+\frac{1}{\mathrm{t}}\right)}^2\ge 4\mathrm{a}\end{array}$

Here, $4\mathrm{a}=32$