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A circle of radius 5 cm has its centre at O. A point P moves along a straight line so that its distance from O changes from 2 cm up to 8 cm.
As P moves, the number of tangents drawable from P to the circle changes.
What is the maximum number of tangents possible from any single position of P during this motion?

Class 10Number of Tangents from a PointGeometry
  • A1
  • B2
  • C4
  • D3

Step-by-Step Solution

When OP > 5 cm (e.g. OP between 5 and 8 cm) P is external, giving the maximum of 2 tangents.
Answer: B) 2

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