The distance between two points P(2, 3) Q(4, 2) will be. 

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Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 1)
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  1. √2
  2. √3
  3. 2
  4. √5

Answer (Detailed Solution Below)

Option 4 : √5
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Detailed Solution

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Concept -

The distance between two points (x1, y1) and (x2, y2), you can use the distance formula:

 \(d = √{(x_2 - x_1)^2 + (y_2 - y_1)^2 } \)

Explanation -

Given the points P(2, 3) and Q(4, 2), you can substitute these values into the formula:

\( d = √{(4 - 2)^2 + (2 - 3)^2} \)

\(d = √{2^2 + (-1)^2} = √ {4+1} = √5\)

Therefore, the distance between the points P(2, 3) and Q(4, 2) is √ 5 units.

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