Engineering Board Exam Reviewer · Angle Between Two Lines · medium
Find the angle formed by the lines 2x+y-8=0 and x+3y+4=0.
- 30°
- 35°
- 45°
- 60°
Answer
C. 45°
Solution
2x+y-8=0 gives slope -2; x+3y+4=0 gives slope -1/3. angle = ≤ft[ -1/3-(-2)1+(-2)≤ft(-1/3 ) ] = (1) = 45°.
More Angle Between Two Lines questions
- Find the angle between the lines 3x+2y=6 and x+y=6.
- What is the acute angle between the lines y=3x+2 and y=4x+9?
- ECE Board April 1998: Determine B such that 3x+2y-7=0 is perpendicular to 2x-By+2=0.
- The line 2x-3y+2=0 is perpendicular to another line L1 of unknown equation. Find the slope of L1.
- A line through (-5,2) and (1,-4) is perpendicular to the line through (x,-7) and (8,7). Find x.
- Find the acute angle between the lines 2x-y+1=0 and x+3y-2=0, in degrees.
- Find the angle of inclination of the line x- 3,y+2=0, in degrees.
- Find the acute angle between two lines whose slopes are 1 and 3, in degrees.