Find the distance between the following pairs of points:

Question 5 of 13beginner🔧 ApplyNumerical4 marks

(i)

$(2, 3, 5)$ and $(4, 3, 1)$

Answer

2 $\sqrt{5}$ units

(ii)

$(-3, 7, 2)$ and $(2, 4, -1)$

Answer

$\sqrt{43}$ units

(iii)

$(-1, 3, -4)$ and $(1, -3, 4)$

Answer

2 $\sqrt{26}$ units

(iv)

$(2, -1, 3)$ and $(-2, 1, 3)$

Answer

2 $\sqrt{5}$ units

Explanation

This question is from Exercise 11.2, Question 1 of the NCERT textbook. Students must apply the distance formula derived in the chapter for three-dimensional coordinates. The formula calculates the straight-line distance between two points P(x₁, y₁, z₁) and Q(x₂, y₂, z₂) in 3D space. Each sub-part requires careful substitution of coordinates and simplification of the resulting square root expression.

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