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JAMB Mathematics 2025 Objective — Question 31

Question 31 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

In a circle, two chords AB and CD intersect at a point P inside the circle. If AP=6cm, PB=4cm, CP=3cm, find PD.

A. 6cm
B. 4cm
C. 8cmCorrect
D. 2cm

Explanation

By the intersecting chords theorem, AP×PB=CP×PD ⇒ 6×4=3×PD ⇒ PD=8cm.

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