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  1. In the given figure, PAB is a secant and PT is a tangent to the circle from P. If PT = 5 cm, PA = 4 cm and AB = x cm, then x is
    1. 4
      cm.
      9
    2. 9
      cm.
      4
    3. 5 cm
    4. 2
      cm.
      3
Correct Option: B

From the given figure in question ,

Given , PT = 5 cm, PA = 4 cm and AB = x cm,
Secant PB = (4 + x) cm.
As we know that ,
∴ PA. PB = PT²
⇒ 4 (4 + x) = 5² = 25
⇒ 16 + 4x = 25
⇒ 4x = 25 – 16 = 9

⇒ x =
9
cm.
4



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