Mathematics - Parabola Question with Solution | TestHub

The parabolas are $(x-4{)}^2+(y-3{)}^2=x^2$ ...(i) and $(x-4{)}^2+(y-3{)}^2=y^2$... If point of intersection are $A\left(x_1,y_1\right)$ and $B\left(x_2,y_2\right)$ By solving (i) and (ii), we get $\begin{array}{rl}& x_1+x_2=14\text{ and }{x}_1{x}_2=25\\ & (AB{)}^2=2\left({\left(x_1+x_2\right)}^2-4x_1{x}_2\right)=192\end{array}$