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The lines x+1-10=y+3-1=z-41 and x+10-1=y+1-3=z-14 intersect at the point ______ -

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Question

The lines `(x + 1)/(-10) = (y + 3)/-1 = (z - 4)/1` and `(x + 10)/(-1) = (y + 1)/-3 = (z - 1)/4` intersect at the point ______ 

Options

  • (11, -4, 5)

  • (-11, -4, 5)

  • (11, 4, -5)

  • (-11, -4, -5)

MCQ
Fill in the Blanks

Solution

The lines `(x + 1)/(-10) = (y + 3)/-1 = (z - 4)/1` and `(x + 10)/(-1) = (y + 1)/-3 = (z - 1)/4` intersect at the point (-11, -4, 5).

Explanation:

Consider option (-11, -4, 5),

point (-11, -4, 5) satisfies both the equations of line

∴ option (-11, -4, 5) is the correct answer.

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Equations of Line in Different Forms
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