Question

Equation of a plane passing through the intersection of the planes $x+y-z+2=0$ and $x-y+z+3=0$ and which intersects exactly one coordinate axis, is?

• A. $2x-5=0$
• B. $2x+5=0$
• C. $3y+5=0$
• D. $3y-5=0$

Answer 1

Answer: (B)

$2x+5=0$

Equation of plane passing through the antersection of the planes will be

$x+y-z+p(x-y+2+3)=0$ ..(i)

This plane will be $\perp$ to line having direction ratio's (0, 1, 1) and product of this will give $a=1$ which gives equation of plane.

$2x+5=0$