Question

A line \(L\) passes through the point of intersection of the lines \(3x+y-10=0\) and \(x-y-2=0\). If the perpendicular distance of the line \(L\) from the point \((5,1)\) is exactly \(\dfrac{2}{\sqrt{5}}\) units, which of the following represents the equation of line \(L\)?

• A. \(2x-y-5=0\)
• B. \(x+2y-5=0\)
• C. \(2x+y-7=0\)
• D. \(x-2y+1=0\)

Hint:

When multiple line equations pass through the same point, use the distance condition carefully to identify the correct line.

Answer 1

The Correct Option is B