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 The length of the tangent drawn from a point 8 cm away from the centre of a circle, of radius 6 cm, is :​
  • a)
    10 cm
  • b)
    5 cm
  • c)
    √7 cm
  • d)
    2√7 cm
Correct answer is option 'D'. Can you explain this answer?

Ref: https://edurev.in/question/496632/The-length-of-the-tangent-drawn-from-a-point-8-cm-away-from-the-centre-of-a-circle-of-radius-6-cm-

Let us observe the following figure.
Length of the tangent - Class 10

P is a point 8 cm away from the center and the radius of the circle is 6 cm.

Consider the right triangle OTP.

Apply Pythagorean Theorem in triangle OTP.

Thus,

Length of the tangent - Class 10

Thus the length of the tangent isLength of the tangent - Class 10

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