Mathematics - Parabola Question with Solution | TestHub

Let Q be $\left({\mathrm{at}}^2,2\mathrm{at}\right)$, (for $\mathrm{a}=2)\mathrm{Q}$ be $\left(2{\mathrm{t}}^2,4\mathrm{t}\right)$ Then locus will be eliminant of $x=\frac{1+2t^2}{2},y=\frac{0+4t}{2}$ We easily get ${\mathrm{y}}^2-4\mathrm{x}+2=0$ ⇒ (a) is correct