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In a circle, the angle between two tangents drawn from an external point measures 70°. The minor arc cut off by the points of contact subtends what central angle?
Answer & Solution
Correct answer: C.
1. The tangent-tangent angle and the central angle of the chord joining the contact points are supplementary.
2. Tangent-tangent angle = 70°.
3. Therefore the central angle for the chord = 180° − 70° = 110°.
4. This 110° is the angle of the minor arc cut off by the contact points.
5. The 70° refers to the tangent angle, not the arc itself.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7 "Tangents" (pp 159-172, 2019 ed.)._
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