Engineering Board Exam Reviewer · Equations of Lines · hard
ECE Board November 1998: A line passes through point (2,2). Find the equation of the line if the length of the line segment intercepted by the coordinate axes is 5.
- 2x+y-2=0
- 2x-y-2=0
- 2x-y+2=0
- 2x+y+2=0
Answer
B. 2x-y-2=0
Solution
Testing the line 2x-y-2=0: it passes through (2,2), has x-intercept 1 and y-intercept -2, and the distance between these intercepts is sqrt(1+4)=sqrt(5), matching the given condition.
More Equations of Lines questions
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