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Manipal MET2014MathematicsStraight Lines

A perpendicular is drawn from the point P(2,4,-1) to the line x+5 1 = y+3 4 = z-6 -9 . The equation of the perpendicular from P to the given line is

Options

  1. Ax-2 6 = y-4 3 = z+1 2
  2. Bx+2 6 = y-4 3 = z+1 2
  3. Cx+2 -6 = y-4 3 = z+1 2
  4. Dx+2 6 = y+4 3 = z+1 2

Correct answer

A. x-2 6 = y-4 3 = z+1 2

Step-by-step solution

Obtain the foot of the perpendicular N(-4,1,-3) . Find the equations of the line passing through aligned & P(2,4,-1) and N(-4,1,-3) & x-2 6 = y-4 3 = z+1 2 aligned

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