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Q.
The distance of. the point $ A(2, 3, 4) $ from $ x- $ axis is:
Jharkhand CECEJharkhand CECE 2005
Solution:
The distance from the point $ (x_{1},\,\,y_{1},\,\,z_{1}) $ to the $ x- $ axis is $ \sqrt{y_{1}^{2}+z_{1}^{2}} $ .
Given point is $ A(2,\,\,3,\,\,4) $ .
$ \therefore $ The distance from $ x- $ axis
$ =\sqrt{(2-2)^{2}+(3-0)^{2}+(4-0)^{2}} $
$ =\sqrt{0+9+16}=5 $
Whenever we find out the distance of a point from any coordinate-axis, which is equal to the sum of square root of rest of the coordinate axes.