புள்ளிகள் P (2, -1, 3) மற்றும் Q (-5, 2, 1) இடையே உள்ள தூரத்தைக் கண்டறியவும்?

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AAI ATC Junior Executive 25 March 2021 Official Paper (Shift 3)
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  1. \(3\sqrt {7} \)
  2. \(7\sqrt {13} \)
  3. 8
  4. \(\sqrt {62} \)

Answer (Detailed Solution Below)

Option 4 : \(\sqrt {62} \)
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கொடுக்கப்பட்டது:

புள்ளி 1 = (2, -1, 3)

புள்ளி 2 = (-5, 2, 1)

சூத்திரம்:

ஆயக்கூறுகள்  (x 1 , y 1 , z 1 ) மற்றும் (x 2 , y 2 , z 2 ) ஆகிய இரண்டு புள்ளிகளுக்கு இடையே உள்ள தூரம்:

\(d = \sqrt{[(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2]}\)

தீர்வு:

d = √[(2 - (-5))2 + ((-1) - 2)2 + (3 - 1)2]

= √(49 + 9 + 4)

= √62 அலகுகள்

குறிப்பு: அதிகாரப்பூர்வ தாளில் கொடுக்கப்பட்ட விருப்பங்கள் தவறாக இருந்தன. விருப்பத்தை சரி செய்துள்ளோம்.

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