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Question
Equation of a line passing through point (1, 2, 3) and equally inclined to the coordinate axis, is ______.
Options
`x/1 = y/2 = z/3`
`x/1 = y/1 = z/1`
`(x - 1)/1 = (y - 1)/2 = (z - 1)/3`
`(x - 1)/1 = (y - 2)/1 = (z - 3)/1`
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Solution
Equation of a line passing through point (1, 2, 3) and equally inclined to the coordinate axis, is `underlinebb((x - 1)/1 = (y - 2)/1 = (z - 3)/1)`.
Explanation:
∵ Line is passing through (1, 2, 3) and equally inclined to coordinate axes.
`\implies` Direction ratios are (1, 1, 1).
So equation of line will be `(x - 1)/1 = (y - 2)/1 = (z - 3)/1`
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