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:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 14/3.
From the given figure,
We know that,
⇒ PT2 = PA × PB
⇒ 82 = 6 × (6 + x)
⇒ 64 = 36 + 6x
⇒ 28 = 6x
⇒ x = 28/6 = 14/3