If , and x < -1, what will be the value of  ?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
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  1. - 112√3  
  2. 112√3  
  3. -140√2  
  4. 140√2  

Answer (Detailed Solution Below)

Option 2 : 112√3  
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SSC CGL Tier 1 2025 Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

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Given:

Concept used:

(a2 - b2) = (a + b)(a - b)

Calculation:

⇒ 

⇒ 

⇒ 

⇒ 

⇒ 

As x < -1 So, 

Now,

 = (- 14) × ()

⇒ 

∴ The required answer is .

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