If the distance between the points (7, 1, -3) and (4, 5, λ) is 13 units, then what is one of the values of λ?  

  1. 20
  2. 10
  3. 9
  4. 8

Answer (Detailed Solution Below)

Option 3 : 9
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Army Havildar SAC - Quick Quiz
5 Qs. 10 Marks 6 Mins

Detailed Solution

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Concept:

Let A = (x,y,z) and B = (a, b, c) be any two points then distance between them is ,

By distance formula: 

Calculations:

 Consider A = (7, 1, -3)  = (x, y, z)

and B = (4, 5 , ) = (a, b, c)

given the distance between the points A = (7, 1, -3) and  B= (4, 5, λ) is 13 units.

By distance formula

 

Squaring on both side 

⇒169 = 9 + 16 + 9 + 6 + 

⇒ + 6 - 135 = 0

⇒ 

Distance can't be negative.
Hence λ = 9

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Last updated on Jul 1, 2025

-> The Indian Army has released the Exam Date for Indian Army Havildar SAC (Surveyor Automated Cartographer).

->The Exam will be held on 9th July 2025.

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