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In a circle, two chords AB and CD intersect inside at P. If AP × PB = 8 and CP = 4, then PD equals
A1
B2
C4
D8
Answer & Solution
Correct answer: B. 2
1. Intersecting chords theorem: AP × PB = CP × PD.
2. 8 = 4 × PD.
3. PD = 2.
_Source: NCERT Class 10 Mathematics, Ch 10 "Circles", §10.3_
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