Question

Find the equation of the line passing through the point $(2,3)$ and making intercept of length $2$ units between the lines $y+2x=3$ and $y+2x=5$

• A. $x-4y=18$
• B. $x=2$
• C. $3x+4y=18$
• D. $x+2=0$

Answer 1

Answer: (B)

$x=2$

As the line passes through $(2,3)$, option A and D can't be true.

For $x=2$, the point of intersection with $y+2x=3$ is $(2,-1)$

For $x=2$, the point of intersection with $y+2x=5$ is $(2,1)$

Hence, distance between $(2,1)$ and $(2,-1)$ is $2$ units.

So, $x=2$ is the required equation of the line.