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The length of tangent (upto the point of contact) drawn from an external point P to a circle of radius 5 cm is 12 cm. The distance of P from the centre of the circle is   (SSC CGL Ist. Sitt. 2013)
  • a)
    11 cm
  • b)
    12 cm
  • c)
    13 cm
  • d)
    14 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The length of tangent (upto the point of contact) drawn from an extern...

AP is a tangent and OA is a radius.
Therefore, OA is ⊥ at AP.
So, In ΔOAP
OP2 = OA2 + AP2 = 52 + 122
OP2 = 25 + 144 = 169
OP = 13 cm.
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Community Answer
The length of tangent (upto the point of contact) drawn from an extern...

AP is a tangent and OA is a radius.
Therefore, OA is ⊥ at AP.
So, In ΔOAP
OP2 = OA2 + AP2 = 52 + 122
OP2 = 25 + 144 = 169
OP = 13 cm.
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The length of tangent (upto the point of contact) drawn from an external point P to a circle of radius 5 cm is 12 cm. The distance of P from the centre of the circle is (SSC CGL Ist. Sitt. 2013)a)11 cmb)12 cmc)13 cmd)14 cmCorrect answer is option 'C'. Can you explain this answer?
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