Question

Find the value of $x$ in each of the following diagrams

Answer 1

(i) We have $PA.PB=PC.PD$
$PB=\frac{PC.PD}{PA}$
Thus, $x=\frac{8\times 3}{4}=6$.
(ii) We have $PC.PD=PA.PB$
$(2+x)2=9\times 4$
$x+2=18$. Thus, $x=16$.