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  4. The coordinates of the foot of perpendicular drawn from the point (2,5,7) on the X-axis are given by

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Q. The coordinates of the foot of perpendicular drawn from the point $(2,5,7)$ on the $X$-axis are given by

Three Dimensional Geometry

Solution:

Since, the foot of the perpendicular lie on X-axis. So, it is of the form $(a, 0,0)$. The coordinates of the point where the perpendicular has to be drawn are $(2,5,7)$.
$\therefore a=2$
Hence, the required point is $(2,0,0)$.