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