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From a point P outside a circle, a secant through P meets the circle first at A and then at B, with PA = 4 cm and AB = 5 cm. A tangent from P touches the circle at T. What is the length of PT?

Competition practiceGeometry
  • A4.5 cm
  • B7 cm
  • C6 cm
  • D8 cm

Step-by-Step Solution

cm. By the tangent–secant relation, , so cm.
Answer: C) 6 cm

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