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

F4 Suraj Mahto 31-3-2021 Swati D1

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)
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100 Questions 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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