Question

Equation of the line perpendicular to $x-2y=1$ and passing through $(1,1)$ is

• A. $x+2y=3$
• B. $x-2y=-1$
• C. $y+2x=3$
• D. $y-2x=3$

Answer 1

The correct option is C $y+2x=3$

We've the line perpendicular to the line $x-2y=1$ is $2x+y=c$.....(1) [ Where $c$ is arbitrary constant]

According to the problem (1) passes through $(1,1)$ then we have,

$2+1=c$

or, $c=3$.

So the equation of the line will be $2x+y=3$.