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Question

In the given figure PA = 2 cm and PB = 8 cm, the value of PT is equal to


  1. 3 cm
  2. 4 cm
  3. 5 cm
  4. 6 cm


Solution

The correct option is B 4 cm
If a secant AB and tangent at the point T of a circle intersect at a point P outside the circle then PA×PB=PT2 
Substituting the value we get
2×8=PT2
PT2=16
PT=4 cm

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