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Question
If the equation of a line is x = ay + b, z = cy + d, then find the direction ratios of the line and a point on the line.
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Solution
Given, x = ay + b, z = cy + d
`\implies (x - b)/a` = y and `(z - d)/c` = y
`\implies (x - b)/a = y/1 = (z - d)/c`
∴ Direction ratios of given line is < a, 1, c >.
And a point on the given line is (b, 0, d).
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