2025Q10(ii)(c)Tangents and Intersecting Chords

NumericalEasy1 mark

10(ii)

In the given diagram O is the centre of the circle. Chord SR produced meets the tangent XTP at P.

Figure for this question

If PR = 4 cm and PS = 16 cm, find the length of the tangent PT.

Topic: Tangents / intersecting chords

Previous-year question practice database

Answer

Exam answer

PT = 8 cm

Explanation

PT²=4×16=64 ⇒PT=8 cm.

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