Question

The equation of the plane parallel to the plane $2x+3y+4z+5=0$ and passing through the point $(1,1,1)$ is:

• A. $2x+3y+4z+9=0$
• B. $2x+3y+4z-9=0$
• C. $2x+3y+4z+7=0$
• D. $2x+3y+4z-7=0$

Answer 1

The correct option is B $2x+3y+4z-9=0$

The equation of the plane parallel to the plane $2x+3y+4z+5=0$ will have normal $D.R^{\prime }s=(2,3,4)$
Hence the equation of plane passing through $(1,1,1)$ is $2(x-1)+3(y-1)+4(z-1)=0$
Hence we have $2x+3y+4z-9=0$