Question

Equation of a line parallel to the x-axis and at a distance ${}^{\prime }{p}^{\prime }$ from it, is ____________ .

• A. x - p = 0
• B. y - p = 0
• C. y = 0
• D. x = p

Answer 1

The correct option is B

y - p = 0

Equation of the x-axis is $y=0$

Equation of a line parallel to the x-axis and at a distance $p$ from it is $y=p$

$\to y-p=0$

Equation of a line parallel to the x-axis and at a distance $p$ from it (along the -ve y-axis) is $y=-p$

$\to y+p=0$

Among the given options, the solution is $y-p=0$.