Question

Find the equation of the normal to the circle $x^2+y^2=2x$, which if parallel to the line $x+2y=3$.

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

Answer 1

The correct option is A $x+2y=1$

Let equation of the normal be $x+2y=c$
Since, center $(1,0)$ of the circle lies on the normal
we get $1+0=c\Rightarrow c=1$
Therefore equation of the normal is $x+2y=1$