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In the given figure, PAB is a secant and PT is a tangent to the circle from P. If PT = 8 cm, PA = 6 cm and AB = x cm, then the value of x is:

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 1)
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Detailed Solution

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Given:

PT = 8 cm

PA = 6 cm

Formula used

PT2 = PA × PB

Here, PT is tangent

Calculation:

Let AB be "x"

PT2 = PA × PB

82 = 6(6 + x)

32/3 = 6 + x

x = 14/3

The value of AB is 14/3 cm.

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