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Write the equation of the line parallel to Y+axis at a distance of 5 units above the origin.?
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Write the equation of the line parallel to Y+axis at a distance of 5 u...
Equation of the Line Parallel to Y-axis at a Distance of 5 Units Above the Origin
To find the equation of the line parallel to the Y-axis at a distance of 5 units above the origin, we can consider a point on the line that is 5 units above the origin. Let's call this point P.

Identifying the Point on the Line
- Point P is located at (0, 5) as it is 5 units above the origin.
- Since the line is parallel to the Y-axis, its equation will be of the form x = k, where k is a constant.

Finding the Equation of the Line
- Since point P lies on the line, we substitute the coordinates of P into the equation x = k.
- Substituting x = 0 and y = 5 into x = k, we get 0 = k.
- Therefore, the equation of the line parallel to the Y-axis at a distance of 5 units above the origin is x = 0, which simplifies to x = 0 or simply x.

Conclusion
- The equation of the line that is parallel to the Y-axis and 5 units above the origin is x = 0, which is the Y-axis itself.
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Write the equation of the line parallel to Y+axis at a distance of 5 units above the origin.?
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