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Q.

Which of the following is not a property of a tangent drawn to a circle?

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a

A tangent touches the circle only at one point.

b

At the point of contact, the circle's tangent is perpendicular to its radius.

c

The tangent segments of a circle are equal when starting from the same exterior point.

d

At the point of contact, the circle's tangent is parallel to its radius.

answer is D.

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Detailed Solution

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We can see that:

  • A tangent touches the circle only at one point.
  • At the point of contact, the circle's tangent is perpendicular to its radius.
  • The tangent segments of a circle are equal when starting from the same exterior point. For example, in the given diagrams, seg AP is equal to seg AQ.

Therefore, 'At the point of contact, the circle's tangent is parallel to its radius.' is the incorrect statement.

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