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The lines x-12=y+12=z-14 and x-31=y-62=z1 intersect each other at point ______

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Question

The lines `(x - 1)/2 = (y + 1)/2 = (z - 1)/4` and `(x - 3)/1 = (y - 6)/2 = z/1` intersect each other at point ______ 

Options

  • (-2, -4, 5)

  • (-2, -4, -5)

  • (2, 4, -5)

  • (2, -4, -5)

MCQ
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Solution

The lines `(x - 1)/2 = (y + 1)/2 = (z - 1)/4` and `(x - 3)/1 = (y - 6)/2 = z/1` intersect each other at point (-2, -4, -5).

Explanation:

Consider option (-2, -4, -5)

Point (-2, -4, -5) satisfies both the equations of the line.

∴ Option (-2, -4, -5) is the correct answer.

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