Question

In the given figure PA = 6, PB = 4 and PC = 8. Find PD

Answer 1

We know that when two chords intersect each other inside a circle, the product of thier segments are equal.
The chords AB and CD intersect at P, so
PA × PB = PC × PD

\[\Rightarrow 6 \times 4 = 8 \times \text{PD}\]
\[ \Rightarrow \text{PD} = \frac{6 \times 4}{8} = 3\]

Thus, PD = 3 units.