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A chord of a circle subtends a central angle of 60°. The angle between the tangent at one end of the chord and the chord itself (on the side of the minor arc) is:
Answer & Solution
Correct answer: A.
1. The tangent-chord angle equals half the central angle of the chord.
2. Central angle = 60°.
3. Half of 60° equals 30°.
4. So the tangent-chord angle on one side equals 30°; the other side is 150°.
5. The 30° answer matches the minor-arc side referenced in the question.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7 "Tangents" (pp 159-172, 2019 ed.)._
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