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Question
Equation of a line passing through (1, 1, 1) and parallel to z-axis is ______.
Options
`x/1 = y/1 = z/1`
`(x - 1)/1 = (y - 1)/1 = (z - 1)/1`
`x/0 = y/0 = (z - 1)/1`
`(x - 1)/0 = (y - 1)/0 = (z - 1)/1`
Solution
Equation of a line passing through (1, 1, 1) and parallel to z-axis is `underlinebb((x - 1)/0 = (y - 1)/0 = (z - 1)/1)`.
Explanation:
Required equation of line is given by
`(x - a)/l = (y - b)/m = (z - c)/n`
Here, a = 1, b = 1, c = 1
And line is parallel to z-axis. Then
l = 0, m = 0, n = 1
∴ `(x - 1)/0 = (y - 1)/0 = (z - 1)/1`.
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