Two chords AB and CD of a circle meet inside the circle at point P. If AP = 12 cm, AB = 20 cm and CP = 16 cm, then CD = ?

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 3)
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  1. 22 cm
  2. 15 cm
  3. 21 cm
  4. 24 cm

Answer (Detailed Solution Below)

Option 1 : 22 cm
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Calculation: 

F4 Vinanti SSC 01.12.23 D4

As per the question,

PB = AB - AP

⇒ 20 - 12 = 8cm

As we know

PA × PB = PD ×  PC

⇒ 12 × 8 = PD × 16

⇒ PD = 6

Then CD = PD + PC 

⇒ 16 + 6 = 22 cm

∴ The correct option is 1

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