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Question

What is the perpendicular distance between the line x = 4 and the point M (2, 1)


A
4 units
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B
12units
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C
2 units
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D
2 units
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Solution

The correct option is D 2 units

Construct a perpendicular y = 1 to the line x = 4, so that it passes through the point M(2,1).

The 2 lines intersect at, say N, (4,1).

Then the perpendicular distance to the line x=4 from the point M(2,1) is equal to the distance between MN.

Therefore, the perpendicular distance = distance between NM
= (42)2+(11)2
= (2)2+(0)2
= 2 units

Therefore the perpendicular distance from the point M (2,1) to the
line x = 4 is 2 units.


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