In the given figure, AB = 7 cm and PA = 9 cm, find the value of PT.

16 c m

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144 c m

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9 c m

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12 c m

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Solution

The correct option is D $12 c m$
Using theorem based on external division of chords,
$P T \times P T = P A \times P B$

$\Rightarrow P T^{2} = P A (P A + A B)$
$\Rightarrow P T^{2} = 9 (9 + 7)$
$\Rightarrow P T^{2} = 144 c m$
$\Rightarrow P T = 12 c m$

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