Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

If $P_1=0$ and $P_2=0$ are the equations of two planes, then the equation $P_1+\lambda P_2=0$ will represent the equation of family of planes passing through the line of intersection of planes $P_1=0$ and $P_2=0$ for different values of $\lambda$. If the planes $ax+y-z=0,-x+by+z=0,x-y+cz=0$ pass through the same straight line, then value of $a+b+c+abc$ is