Question

The general equation of plane which is parallel to x-axis is

• A. $ax+by+cz+d=0,a\ne 0,b\ne 0,c\ne 0$
• B. $by+ax+d=0,a\ne 0,b\ne 0$
• C. $ax+cz+d=0,a\ne 0.c\ne 0$
• D. $by+cz+d=0,b\ne 0,c\ne 0$

Answer 1

The correct option is D $by+cz+d=0,b\ne 0,c\ne 0$

Generally a plane in 3-space has the equation

$ax+by+cz+d=0,$

here, it is parallel to $x$ axis

hence the equation becomes,

$by+cz+d=0,$

where at least one of the numbers a, b, c and d must be nonzero

finally the equation becomes,

$by+cz+d=0,b\ne 0,c\ne 0.$