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Question
The Distance of the point (−3, 4) from the x-axis is
Options
A. 3
B. −3
C. 4
D. 5
Solution
Let B (−3, 4) be the given point. Suppose the perpendicular from B on the x-axis intersects at A.
Point A lies on the x-axis, so the coordinate of point A is (−3, 0).
Distance of the given point from the x-axis = AB
Using distance formula, we have
`AB= sqrt([-3-(-3)]^2+(4-0)^2)=sqrt((-3+3)^2+(4-0)^2)=sqrt16=4unit`
∴The distance of the point (−3, 4) from the x- axis is 4 units.
Hence, the correct answer is C.
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