Engineering Board Exam Reviewer · Angle Between Two Lines · medium

ECE Board April 1998: Determine B such that 3x+2y-7=0 is perpendicular to 2x-By+2=0.

  1. 5
  2. 4
  3. 3
  4. 2

Answer

C. 3

Solution

3x+2y-7=0 has slope -3/2. 2x-By+2=0 has slope 2/B. Perpendicular: ≤ft(-3/2 )≤ft(2/B )=-1, giving B=3.

More Angle Between Two Lines questions

  1. The line 2x-3y+2=0 is perpendicular to another line L1 of unknown equation. Find the slope of L1.
  2. A line through (-5,2) and (1,-4) is perpendicular to the line through (x,-7) and (8,7). Find x.
  3. Find the acute angle between the lines 2x-y+1=0 and x+3y-2=0, in degrees.
  4. Find the angle of inclination of the line x- 3,y+2=0, in degrees.
  5. Find the acute angle between two lines whose slopes are 1 and 3, in degrees.
  6. Find the angle formed by the lines 2x+y-8=0 and x+3y+4=0.
  7. Find the angle between the lines 3x+2y=6 and x+y=6.
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