Explanation
1. Identify the Constraints
The given conditions for the point are:
2. Geometrical Interpretation
The locus of the point is the intersection of these two planes. The intersection of the XY-plane and the XZ-plane is the X-axis.
3. Verification
For any point lying on the X-axis, the coordinates are always in the form (x,0,0).
Since the y and z coordinates are strictly zero regardless of the value of x, the point must lie on the X-axis.
Final Result
The locus of the point is the X-axis.
