Question

The plane $2x-(1+\lambda )y+3z=0$ passes through the intersection of the planes

• A. $2x-y=0$ and $y+3z=0$
• B. $2x-y=0$ and $y-3z=0$
• C. $2x+3z=0$ and $y=0$
• D. None of the above

Answer 1

Answer: (B)

$2x-y=0$ and $y-3z=0$

The equation of the given plane can be written in the for $(2x-y)+\lambda (-y)+3z=0$ which is a plane passing through the intersection of the plane $2x-y=0$ and $-y+3z=0$