Question

The equation of line perpendicular to $x=c$ is:

• A. $y=d$
• B. $x=d$
• C. $x=0$
• D. None of these

Answer 1

The correct option is A

$y=d$

Explanation for the correct answer:

Finding the equation of line,

Let the required line be $AB$

Given that: $AB$ is perpendicular to $x=c$

$x=c$ is parallel to the y-axis. This means $AB$ is perpendicular to the y-axis and therefore slope of $AB$ will be $0$,

Hence, the equation of $AB$ is:

$\begin{array}{rcl}y& =& 0.x+d\\ & \Rightarrow & y=d\end{array}$

Thus, the correct answer is Option (A).