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In the same external-point configuration, the line OP joining the centre O to the external point P:
Answer & Solution
Correct answer: D.
1. The tangent lengths PA and PB are equal as just shown.
2. The radii OA and OB are also equal.
3. Triangles OAP and OBP are congruent, so OP is a line of symmetry for the figure.
4. By symmetry OP bisects the angle APB and the angle AOB.
5. OP also bisects the chord AB at right angles because it is the perpendicular bisector of AB.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7 "Tangents" (pp 159-172, 2019 ed.)._
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