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Trigonometric Ratios of Compound Angles

If PT is a ta...

Question

If PT is a tangent at T to a circle whose centre is O and $O P = 41 c m, O T = 9 c m$ , then tength of PT is

A

40 c m

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B

32 c m

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C

21 c m

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D

None

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Solution

The correct option is A $40 c m$
$P T^{2} = O P^{2} - O T^{2} \Rightarrow P T^{2} = 41^{2} - 9^{2} = 1600$
$P T = 40$

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