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Lesson eLearning

Find the distance between the points $P (1, 2)$ and $Q (4, 6)$ .

easy 2 marks Class 9 · Mathematics · Coordinate Geometry

Answer

5

The correct answer is 5 — Therefore $d = 5$ units.

Step-by-step solution

Identify the coordinates of $P$ and $Q$ .
Use the distance formula $d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}$ .
Compute $x_{2} - x_{1} = 4 - 1 = 3$ and $y_{2} - y_{1} = 6 - 2 = 4$ .
Square and add: $3^{2} + 4^{2} = 9 + 16 = 25$ .
Take the square root: $25 = 5$ .
Therefore $d = 5$ units.

Common mistake: forgetting to square the differences or using subtraction incorrectly

Concept tested: distance between points

Published 13 October 2026 · How this solution was prepared and checked

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