Mathematics - Parabola Question with Solution | TestHub

Consider two concentric circle ${\mathrm{C}}_1:{\mathrm{x}}^2+{\mathrm{y}}^2=1$ and ${\mathrm{C}}_2:{\mathrm{x}}^2+{\mathrm{y}}^2-4=0$. A parabola is drawn through the points where $C_1$ meet the $x$-axis and having arbitrary tangent of $C_2$ as its directrix. Then locus of focus of drawn parabola is $\frac{3}{4}{x}^2+y^2=k$, then value of k is