Two chords AB and CD of a circle intersect each other at P internally. If AP = 3.5 cm. PC = 5 cm, and DP = 7 cm, then what is the measure of PB? 

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SSC CPO Previous Paper 32 (Held On: 13 Dec 2019 Shift 1) 
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  1. 8 cm
  2. 12 cm
  3. 10 cm
  4. 10.5 cm

Answer (Detailed Solution Below)

Option 3 : 10 cm
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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Given:-

AP = 3.5 cm

PC = 5 cm

DP = 7 cm

Calculation:-

F1 S.C 29.2.20 Pallavi D3

As we know,

AP × PB = PC × PD

3.5 × PB = 5 × 7

PB = (5 × 7)/3.5 = 10 cm

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