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From an external point P a tangent PT is drawn to a circle with centre O, touching it at T. If PT = 24 cm and the radius of the circle is 7 cm, what is the length of OP?

Competition practiceGeometry
  • A31 cm
  • B25 cm
  • C23 cm
  • D20 cm

Step-by-Step Solution

A tangent is perpendicular to the radius at the point of contact, so triangle is right-angled at . Hence = √ = √(49 + 576) = √625 = 25 cm.
Answer: B) 25 cm

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