Question

The equation of the line(s) passing through the intersection of the lines $4x-3y-1=0$ and $2x-5y+3=0$ and equally inclined to the axis is/are

• A. $x+y-2=0$
• B. $y=x+1$
• C. $y=x$
• D. $x+y+2=0$

Answer 1

Answer: (A), (C)

$y=x$

The intersection point of the lines $4x-3y-1=0$ and $2x-5y+3=0$ is $(1,1)$
Let the slope of the line be $m$.
Now if lines are equaly inclined to the axis then $m=\pm 1$
So, equation of the lines will be
$y-1=1(x-1)$ and $y-1=-1(x-1)$
$x+y-2=0$ and $x=y$