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At the point of contact, the tangent to a circle has what relationship to the diameter through that point?
Answer & Solution
Correct answer: B.
1. As X approaches A on the circle, the chord AX approaches the tangent at A.
2. The central angle of chord AX tends to zero as X approaches A.
3. The angle between the chord and the diameter approaches 90° in the limit.
4. Hence the tangent at any point is perpendicular to the diameter through that point.
5. Parallel or 45°/60° relations do not hold in general.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7 "Tangents" (pp 159-172, 2019 ed.)._
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