Engineering
Mathematics
Line of Greatest Slope
Question
The distance of the point P(a,b,c) from the x-axis is.
b2+c2
a2+c2
a2+b2
a
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Solution
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Step 1: Find Co-ordinate of Point on X axis and Find its Distance from Point P
               Given:Co-ordinate of Point P=(x1,y1,z1)=(a,b,c) 

               On X-axis, y and z coordinate will be zero.

              Coordinate on the X-axis where perpendicular from point will meet is (x2,y2,z3)= (a,0,0)

              By Distance Formula,
              Distance Between 2 Points= (x2x1)2+(y2y1)2+(z2z1)2

              Distance Between P and X axis =(aa)2+(b0)2+(c0)2

                                                                              =b2+c2

Therefore,Distance Between Point P and X axis is b2+c2
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