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Distance between Points Lying Parallel to X & Y Coordinates

Find the dist...

Question

Find the distance between two points A(-3, 2) and B(-3, -3).

A

4 units and parallel to X-Axis

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B

5 units and parallel to Y-Axis

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C

4 units and parallel to X-axis

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D

5 units and perpendicular to X-axis

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Solution

The correct options are
B 5 units and parallel to Y-Axis
D 5 units and perpendicular to X-axis

Here the X-coordinate of both points is the same.
Therefore, the line segment AB will be parallel to Y-Axis.
Hence the distance between two points,
$A B = | Y_{2} - Y_{1} |$
$\Rightarrow A B = | - 3 - 2 |$
$\Rightarrow A B = | - 5 |$
$\Rightarrow A B = 5 u n i t s$

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