Engineering Board Exam Reviewer · Distance Between a Point & a Line · hard

CE Board November 1992: The two points on the line 2x-3y+4=0 which are at a distance 2 from the line 3x+4y-6=0 are

  1. (-5,1) and (-5,2)
  2. (64,-44) and (4,-4)
  3. (8,8) and (12,12)
  4. (44,-64) and (-4,4)

Answer

B. (64,-44) and (4,-4)

Solution

Substituting a point ≤ft(x, 2x+4/3 ) on the line 2x-3y+4=0 into the distance formula to the line 3x+4y-6=0 and solving the resulting equation gives the two points (64,-44) and (4,-4).

More Distance Between a Point & a Line questions

  1. CE Board November 1992: The distance from the point (2,1) to the line 4x-3y+5=0 is
  2. CE Board November 1996: Determine the distance from (5,10) to the line x-y=0.
  3. The distance from a point (1,3) to the line 4x+3y+12=0 is
  4. EE Board October 1997: Find the distance of the line 3x+4y=5 from the origin.

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