Multiple choice

A pair of tangents can be constructed to a circle inclined at an angle of $170^0.$

  1. True

  2. False

  3. Ambiguous

  4. Data Insufficient
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

From an external point, two tangents can be drawn to a circle. The angle between the tangents can approach 180 degrees as the point moves far away, so an angle of 170 degrees is possible.

AI explanation

A pair of tangents to a circle meet at a point in the exterior region. The maximum angle of inclination between such a pair of tangents approaches 180 degrees when the external point moves infinitely far away, meaning any specific angle less than 180 degrees such as 170 degrees is perfectly valid. Therefore, the statement is true.

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