In the given figure, chords AB and CD are intersecting each other at point L. Find the length of AB

This question was previously asked in
SSC CHSL Previous Paper 114 (Held On: 17 March 2020 Shift 1)
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  1. 23.5 cm
  2. 21.5 cm
  3. 22.5 cm
  4. 24.5 cm

Answer (Detailed Solution Below)

Option 2 : 21.5 cm
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
100 Qs. 200 Marks 60 Mins

Detailed Solution

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Given :

LC = 6, CD = 11, LB = 4 and AB = x 

Formula used:

Intersecting Secants Theorem

LC × LD = LB × AL 

Calculations :

According to the question 

LC × LD = LB × AL 

6 × (6 + 11) = 4 × (4 + x) 

⇒ 4 + x = 51/2 

⇒ 4 + x = 25.5 

⇒ x = AB = 21.5 

∴ The length of AB is 21.5 cm.

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