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The lines andx-21=y-31=z-4-kandx-1k=y-42=z-51 are coplnar if ______. - Mathematics and Statistics

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Question

The lines `(x - 2)/(1) = (y - 3)/(1) = (z - 4)/(-k) and (x - 1)/k = (y - 4)/(2) = (z - 5)/(1)` are coplnar if ______.

Options

  • k = 1 or –1

  • k = 0 or – 3

  • k = ± 3

  • k = 0 or – 1

MCQ
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Solution

The lines `(x - 2)/(1) = (y - 3)/(1) = (z - 4)/(-k) and (x - 1)/k = (y - 4)/(2) = (z - 5)/(1)` are coplnar if k = 0 or – 3.

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Chapter 6: Line and Plane - Miscellaneous Exercise 6 B [Page 224]

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