Multiple choice

If P is a point on a circle with centre C, then the line drawn through P and perpendicular to CP is the tangent to the circle at the point P.

  1. True

  2. False

  3. Either

  4. Neither
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A Correct answer
Explanation

A tangent to a circle is defined as a line that touches the circle at exactly one point and is perpendicular to the radius at that point of contact.

AI explanation

By definition, the tangent to a circle at any given point is perpendicular to the radius drawn to that specific point. Since CP is the radius connecting the center C to the point P, any line drawn through P perpendicular to CP is the tangent. Therefore, the statement is true.

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