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InterviewSolution
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If the line is passing through the points \((x_1, y_1, z_1)\) and has direction cosines l, m, n of the line, then which of the following is the cartesian equation of the line?(a) \(\frac{x-x_1}{l}=\frac{y-y_1}{m}=\frac{z-z_1}{n}\)(b) \(\frac{x-x_1}{n}=\frac{y-y_1}{m}=\frac{z-z_1}{l}\)(c) \(\frac{x+x_1}{n}=\frac{y+y_1}{m}=\frac{z-z_1}{l}\)(d) \(\frac{x+x_1}{l}=\frac{y+y_1}{m}=\frac{z+z_1}{n}\)The question was posed to me in an international level competition.My question is based upon Three Dimensional Geometry in division Three Dimensional Geometry of Mathematics – Class 12 |
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Answer» The correct choice is (a) \(\frac{x-x_1}{l}=\frac{y-y_1}{m}=\frac{z-z_1}{n}\) |
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